| [1] | Du C L, Xie L H, Guo G X, Teoh J N. A generalized KYP lemma based approach for disturbance rejection in data storage systems. Automatica, 2007, 43(12): 2112-2118 doi: 10.1016/j.automatica.2007.04.023 |
| [2] | Chen Y, Zhang W L, Gao H J. Finite frequency H∞ control for building under earthquake excitation. Mechatronics, 2010, 20(1): 128-142 doi: 10.1016/j.mechatronics.2009.11.001 |
| [3] | Lim J S, Ryoo J R, Lee Y I, Son S Y. Design of a fixed-order controller for the track-following control of optical disc drives. IEEE Transactions on Control Systems Technology, 2011, 20(1): 205-213 http://cn.bing.com/academic/profile?id=2078120591&encoded=0&v=paper_preview&mkt=zh-cn |
| [4] | Paszke W, Rogers E, Galkowski K. On the design of ILC schemes for finite frequency range tracking specifications. In: Proceedings of the 49th IEEE Conference on Decision and Control. Atlanta, GA: IEEE, 2010. 6979-6984 |
| [5] | Pipeleers G, Swevers J. Optimal feedforward controller design for periodic inputs. International Journal of Control, 2010, 83(5): 1044-1053 doi: 10.1080/00207170903552067 |
| [6] | Hatada K, Hirata K. Energy-efficient power assist control for periodic motions. In: Proceedings of the SICE Annual Conference 2010. Taipei, China: IEEE, 2010. 2004-2009 |
| [7] | Pipeleers G, Demeulenaere B, De Schutter J, Swevers J. Generalised repetitive control: relaxing the period-delay-based structure. IET Control Theory and Applications, 2009, 3(11): 1528-1536 doi: 10.1049/iet-cta.2008.0499 |
| [8] | Pipeleers G, Demeulenaere B, Al-Bender F, De Schutter J, Swevers J. Optimal performance tradeoffs in repetitive control: experimental validation on an active air bearing setup. IEEE Transactions on Control Systems Technology, 2009, 17(4): 970-989 doi: 10.1109/TCST.2009.2014358 |
| [9] | Zhou K M, Doyle J C, Glover K. Robust and Optimal Control. New Jersey: Prentice-Hall, 1996. |
| [10] | Sun W C, Gao H J, Kaynak O. Finite frequency H∞ control for vehicle active suspension systems. IEEE Transactions on Control Systems Technology, 2011, 19(2): 416-422 doi: 10.1109/TCST.2010.2042296 |
| [11] | 孙维超. 汽车悬架系统的主动振动控制[博士学位论文], 哈尔滨工业大学, 中国, 2013 Sun Wei-Chao. Active Vibration Control for Vehicle Suspension Systems [Ph.D. dissertation], Harbin Institute of Technology, China, 2013 |
| [12] | Costa-Castello R, Wang D W, Grino R. A passive repetitive controller for discrete-time finite-frequency positive-real systems. IEEE Transactions on Automatic Control, 2009, 54(4): 800-804 doi: 10.1109/TAC.2008.2009594 |
| [13] | Wongsura S, Liu L, Hara S. Conditions for mixed small gain and positive real property for LTI systems. In: Proceedings of the SICE Annual Conference 2010. Taipei, China: IEEE, 2010. 625-629 |
| [14] | Yang H J, Xia Y Q, Shi P, Fu M Y. Stability analysis for high frequency networked control systems. IEEE Transactions on Automatic Control, 2012, 57(10): 2694-2700 doi: 10.1109/TAC.2012.2190194 |
| [15] | Iwasaki T, Hara S, Yamauchi H. Dynamical system design from a control perspective: finite frequency positive-realness approach. IEEE Transactions on Automatic Control, 2003, 48(8): 1337-1354 doi: 10.1109/TAC.2003.815013 |
| [16] | Forbs J R. Extensions of Input-Output Stability Theory and the Control of Aerospace Systems [Ph.D. dissertation], University of Toronto, Canada, 2011 |
| [17] | Wu S P, Boyd S, Vandenberghe L. FIR filter design via spectral factorization and convex optimization. Applied and Computational Control, Signals, and Circuits. New York: Springer, 1999. 215-245 http://cn.bing.com/academic/profile?id=1591179352&encoded=0&v=paper_preview&mkt=zh-cn |
| [18] | Lei C U, Wong N. IIR approximation of FIR filters via discrete-time hybrid-domain vector fitting. IEEE Signal Processing Letters, 2009, 16(6): 533-537 doi: 10.1109/LSP.2009.2017478 |
| [19] | Apkarian P, Noll D. Nonsmooth optimization for multiband frequency domain control design. Automatica, 2007, 43(4): 724-731 doi: 10.1016/j.automatica.2006.08.031 |
| [20] | SimÖes A M, Apkarian P, Noll D. Nonsmooth multi-objective synthesis with applications. Control Engineering Practice, 2009, 17(11): 1338-1348 doi: 10.1016/j.conengprac.2009.06.010 |
| [21] | 裴润, 宋申民. 自动控制原理. 哈尔滨: 哈尔滨工业大学出版社, 2006. Pei Run, Song Shen-Min. Principles of Automatic Control. Harbin: Harbin Institute of Technology Press, 2006. |
| [22] | 郑大钟. 线性系统理论. 北京: 清华大学出版社, 2002. Zheng Da-Zhong. Linear System Theory. Beijing: Tsinghua University Press, 2002. |
| [23] | Anderson B D O, Moore J B. Optimal Control: Linear Quadratic Methods. Englewood Cliffs, New Jersey: Prentice-Hall, 1989. |
| [24] | Enns D F. Model reduction with balanced realizations: an error bound and a frequency weighted generalization. In: Proceedings of the 23rd Conference on Decision and Control. Las Vegas, NV, USA: IEEE, 1984. 127-132 |
| [25] | Anderson B D O. Weighted Hankel-norm approximation: calculation of bounds. Systems & Control Letters, 1986, 7(4): 247-255 http://cn.bing.com/academic/profile?id=2031798783&encoded=0&v=paper_preview&mkt=zh-cn |
| [26] | Chow Y L, Hu Y B, Li X W, Kominek A, Lam J. Mixed additive/multiplicative H∞ model reduction. Journal of Dynamic Systems, Measurement, and Control, 2013, 135(5): 051005, DOI: 10.1115/1.4024111 |
| [27] | Zhou K M. Frequency-weighted L∞ norm and optimal Hankel norm model reduction. IEEE Transactions on Automatic Control, 1995, 40(10): 1687-1699 doi: 10.1109/9.467681 |
| [28] | Luo H, Lu W S, Antoniou A. A weighted balanced approximation for 2-D discrete systems and its application to model reduction. IEEE Transactions on Circuits and Systems—I: Fundamental Theory and Applications, 1995, 42(8): 419-429 doi: 10.1109/81.404046 |
| [29] | Wang G, Sreeram V, Liu W Q. A new frequency-weighted balanced truncation method and an error bound. IEEE Transactions on Automatic Control, 1999, 44(9): 1734-1737 doi: 10.1109/9.788542 |
| [30] | Ghafoor A, Wang J, Sreeram V. Frequency-weighted model reduction method with error bounds for 2-D separable denominator discrete systems. In: Proceedings of the 2005 IEEE International Symposium on, Mediterrean Conference on Control and Automation, Intelligent Control. Limassol, Cyprus: IEEE, 2005. 525-530 |
| [31] | Ghafoor A, Sreera V, Treasure R. Frequency weighted model reduction technique retaining Hankel singular values. Asian Journal of Control, 2007, 9(1): 50-56 http://cn.bing.com/academic/profile?id=2084554706&encoded=0&v=paper_preview&mkt=zh-cn |
| [32] | Ghafoor A, Sreeram V. A survey/review of frequency-weighted balanced model reduction techniques. Journal of Dynamic Systems, Measurement, and Control, 2008, 130(6): 758-767 http://cn.bing.com/academic/profile?id=1973799947&encoded=0&v=paper_preview&mkt=zh-cn |
| [33] | Liu Y, Anderson B D O. Frequency weighted controller reduction methods and loop transfer recovery. Automatica, 1990, 26(3): 487-497 doi: 10.1016/0005-1098(90)90020-I |
| [34] | Houlis P, Sreeram V. A parametrized controller reduction technique via a new frequency weighted model reduction formulation. IEEE Transactions on Automatic Control, 2009, 54(5): 1087-1093 doi: 10.1109/TAC.2008.2010993 |
| [35] | Gawronski W, Juang J N. Model reduction in limited time and frequency intervals. International Journal of Systems Science, 1990, 21(2): 349-376 doi: 10.1080/00207729008910366 |
| [36] | Rotea M A. The generalized H2 control problem. Automatica, 1993, 29(2): 373-385 doi: 10.1016/0005-1098(93)90130-L |
| [37] | Li X W, Gao H J. A delay-dependent approach to robust generalized H2 filtering for uncertain continuous-time systems with interval delay. Signal Processing, 2011, 91(10): 2371-2378 doi: 10.1016/j.sigpro.2011.04.032 |
| [38] | Gugercin S, Antoulas A C. A survey of model reduction by balanced truncation and some new results. International Journal of Control, 2004, 77(8): 748-766 doi: 10.1080/00207170410001713448 |
| [39] | Ghafoor A, Sreeram V. Model reduction via limited frequency interval gramians. IEEE Transactions on Circuits and Systems—I: Regular Papers, 2008, 55(9): 2806-2812 doi: 10.1109/TCSI.2008.920092 |
| [40] | Sahlan S, Ghafoor A, Sreeram V. A new method for the model reduction technique via a limited frequency interval impulse response gramian. Mathematical and Computer Modelling, 2012, 55(3-4): 1034-1040 doi: 10.1016/j.mcm.2011.09.028 |
| [41] | Petersson D, LÖfberg J. Model Reduction Using a Frequency-Limited H2-Cost, Technical Report LiTH-ISY-R-3045, Division of Automatic Control, LinkÖpings University, Sweden, 2012. http://www.control.isy.liu.se/publications/?lname=norrlof&fname=&title=&year=&type=any&number=LiTH&keywords=&go=Search&output=html |
| [42] | Iwasaki T, Meinsma G, Fu M Y. Generalized S-procedure and finite frequency KYP lemma. Mathematical Problems in Engineering, 2000, 6(2-3): 305-320 doi: 10.1155/S1024123X00001368 |
| [43] | Iwasaki T, Hara S. Generalized KYP lemma: unified frequency domain inequalities with design applications. IEEE Transactions on Automatic Control, 2005, 50(1): 41-59 doi: 10.1109/TAC.2004.840475 |
| [44] | Rantzer A. On the Kalman-Yakubovich-Popov lemma. Systems & Control Letters, 1996, 28(1): 7-10 http://cn.bing.com/academic/profile?id=2077418568&encoded=0&v=paper_preview&mkt=zh-cn |
| [45] | Iwasaki T, Hara S. Generalization of Kalman-Yakubovic-Popov lemma for restricted frequency inequalities. In: Proceedings of the 2003 American Control Conference. Denver, Colorado, USA: IEEE, 2003. 3828-3833 |
| [46] | Nesterov Y, Nemirovskii A. Interior-Point Polynomial Algorithms in Convex Programming. Philadelphia, PA: SIAM, 1994. |
| [47] | Boyd S, El Ghaoui L, Feron E, Balakrishnan V. Linear Matrix Inequalities in System and Control Theory. Philadelphia, PA: SIAM, 1994. |
| [48] | 高会军. 基于参数依赖Lyapunov函数的不确定动态系统的分析与综合[博士学位论文], 哈尔滨工业大学, 中国, 2005 Gao Hui-Jun. Analysis and Synthesis of Uncertain Dynamic Systems Based on Parameter-Dependent Lyapunov Function [Ph.D. dissertation], Harbin Institute of Technology, China, 2005 |
| [49] | 俞立. 鲁棒控制--线性矩阵不等式处理方法. 北京: 清华大学出版社, 2002. Yu Li. Robust Control-Linear Matrix Inequality Method. Beijing: Tsinghua University Press, 2002. |
| [50] | Toh K C, Todd M J, TÜtÜncÜ R H. SDPT3—a matlab software package for semidefinite programming, version 1.3. Optimization Methods and Software, 1999, 11(1-4): 545-581 doi: 10.1080/10556789908805762 |
| [51] | Sturm J F. Using SeDuMi 1.02, a matlab toolbox for optimization over symmetric cones. Optimization Methods and Software, 1999, 11(1-4): 625-653 doi: 10.1080/10556789908805766 |
| [52] | Skelton R E, Iwasaki T, Grigoriadis K M. A Unified Algebraic Approach to Linear Control Design. London and Bristol, PA: Taylor & Francis, 1998. |
| [53] | Hara S, Iwasaki T. From generalized KYP lemma to engineering applications. In: Proceedings of the 42nd IEEE Conference on Decision and Control. Maui, Hawaii, USA: IEEE, 2003. 792-797 |
| [54] | Iwasaki T, Hara S. Robust control synthesis with general frequency domain specifications: static gain feedback case. In: Proceedings of the 2004 American Control Conference. Boston, MA: IEEE, 2004. 4613-4618 |
| [55] | Iwasaki T, Hara S. Feedback control synthesis of multiple frequency domain specifications via generalized KYP lemma. International Journal of Robust & Nonlinear Control, 2007, 17(5-6): 415-434 http://cn.bing.com/academic/profile?id=2004080117&encoded=0&v=paper_preview&mkt=zh-cn |
| [56] | Hara S, Iwasaki T. Sum-of-squares decomposition via generalized KYP lemma. IEEE Transactions on Automatic Control, 2009, 54(5): 1025-1029 doi: 10.1109/TAC.2009.2017149 |
| [57] | Hara S, Iwasaki T, Shiokata D. Robust PID control using generalized KYP synthesis: direct open-loop shaping in multiple frequency ranges. IEEE Control Systems Magazine, 2006, 26(1): 80-91 doi: 10.1109/MCS.2006.1580156 |
| [58] | Shiokata D, Hara S, Iwasaki T. From Nyquist/Bode to GKYP design: design algorithms with CACSD tools. In: Proceedings of the SICE 2004 Annual Conference. Sapporo: SICE, 2004. 1780-1785 |
| [59] | El Ghaoui L, Oustry F, AitRami M. A cone complementarity linearization algorithm for static output-feedback and related problems. IEEE Transactions on Automatic Control, 1997, 42(8): 1171-1176 doi: 10.1109/9.618250 |
| [60] | Li X W, Gao H J. A heuristic approach to static output-feedback controller synthesis with restricted frequency-domain specifications. IEEE Transactions on Automatic Control, 2014, 59(4): 1008-1014 doi: 10.1109/TAC.2013.2281472 |
| [61] | Shu Z, Lam J. An augmented system approach to static output-feedback stabilization with H∞ performance for continuous-time plants. International Journal of Robust & Nonlinear Control, 2009, 19(7): 768-785 |
| [62] | >Peaucelle D, Arzelier D. An efficient numerical solution for H2 static output feedback synthesis. In: Proceeding of the 2001 European Control Conference. Porto, Portugal: IEEE, 2001. 3800-3805 |
| [63] | Agulhari C M, Oliveira R C L F, Peres P L D. LMI relaxations for reduced-order robust H∞ control of continuous-time uncertain linear systems. IEEE Transactions on Automatic Control, 2012, 57(6): 1532-1537 doi: 10.1109/TAC.2011.2174693 |
| [64] | Li X W, Yin S, Gao H J, Kaynak O. Robust static output-feedback control for uncertain linear discrete-time systems via the generalized KYP lemma. In: Proceedings of the 19th IFAC World Congress. Cape Town, South Africa: IFAC, 2014. 7430-7435 |
| [65] | Li X W, Gao H J. Robust frequency-domain constrained feedback design via a two-stage heuristic approach. IEEE Transactions on Cybernetics, 2015, 45(10): 2065-2075 doi: 10.1109/TCYB.2014.2364587 |
| [66] | Li X W, Gao H J. Generalized Kalman-Yakubovich-Popov lemma for 2-D FM LSS model and its application to finite frequency positive real control. In: Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference. Orlando, FL: IEEE, 2011. 6991-6996 |
| [67] | Li X W, Gao H J, Wang C H. Generalized Kalman-Yakubovich-Popov lemma for 2-D FM LSS model. IEEE Transactions on Automatic Control, 2012, 57(12): 3090-3103 doi: 10.1109/TAC.2012.2200370 |
| [68] | Hao Y Q, Duan Z S, Huang D. Structured controller synthesis with restricted frequency domain specifications. In: Proceedings of the 34th Chinese Control Conference. Hangzhou, China: IEEE, 2015. 2895-2990 |
| [69] | Hao Y Q, Duan Z S. Static output-feedback controller synthesis with restricted frequency domain specifications for time-delay systems. IET Control Theory and Applications, 2015, 9(10): 1608-1614 doi: 10.1049/iet-cta.2014.1000 |
| [70] | 张晓妮, 杨光红. 混合频小增益动态输出反馈控制综合. 自动化学报, 2008, 34(5): 551-557 doi: 10.3724/SP.J.1004.2008.00551 Zhang Xiao-Ni, Yang Guang-Hong. Dynamic output feedback control synthesis with mixed frequency small gain specifications. Acta Automatica Sinica, 2008, 34(5): 551-557 doi: 10.3724/SP.J.1004.2008.00551 |
| [71] | 梅平, 邹云. 基于广义KYP引理方法的奇异摄动系统有限频段正实性能分析. 控制与决策, 2010, 25(5): 711-720 Mei Ping, Zou Yun. Finite frequency positive realness analysis of singularly perturbed systems based on generalized KYP lemma approach. Control and Decision, 2010, 25(5): 711-720 |
| [72] | 董全超. 线性时滞系统鲁棒H∞故障估计与主动容错控制[博士学位论文], 山东大学, 中国, 2010 Dong Quan-Chao. Robust H∞ Fault Estimation and Active Fault Tolerant Control for Linear Time-delay Systems [Ph.D. dissertation], Shandong University, China, 2010 |
| [73] | Li H, Peng L Y, Ju H H. A finite frequency domain approach to robust and parameter dependent PID controller design for LPV systems. In: Proceedings of the 30th Chinese Control Conference. Yantai, China: IEEE, 2011. 3688-3694 |
| [74] | Lim J S, Ryoo J R, Lee Y I. Fixed-order controller design with frequency domain specifications. In: Proceedings of ICROS-SICE International Joint Conference 2009. Fukuoka, Japan: IEEE, 2009. 108-111 |
| [75] | Ishizaki T, Kashima K, Imura J, Katoh A, Morita H, Aihara K. Distributed parameter modeling and finite-frequency loop-shaping of electromagnetic molding machine. Control Engineering Practice, 2013, 21(12): 1735-1743 doi: 10.1016/j.conengprac.2013.08.003 |
| [76] | Wang H, Yang G H. A finite frequency approach to filter design for uncertain discrete-time systems. International Journal of Adaptive Control & Signal Processing, 2008, 22: 533-550 http://cn.bing.com/academic/profile?id=1974860912&encoded=0&v=paper_preview&mkt=zh-cn |
| [77] | hang X N, Yang G H. Delay-dependent filtering for discrete-time systems with finite frequency small gain specifications. In: Proceedings of the 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference. Shanghai, China: IEEE, 2009. 4420-4425 |
| [78] | Gao H J, Li X W, Yu X H. Finite frequency approaches to H∞ filtering for continuous-time state-delayed systems. In: Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference. Orlando, FL: IEEE, 2011. 2583-2588 |
| [79] | Gao H J, Li X W. H∞ filtering for discrete-time state-delayed systems with finite frequency specifications. IEEE Transactions on Automatic Control, 2011, 56(12): 2935-2941 doi: 10.1109/TAC.2011.2159909 |
| [80] | Gao H J, Li X W. Robust Filtering for Uncertain Systems. Switzerland: Springer International Publishing, 2014. |
| [81] | 李贤伟. 时滞系统的有限频域H∞滤波分析与综合[硕士学位论文], 哈尔滨工业大学, 中国, 2011 Li Xian-Wei. Finite Frequency H∞ Filtering Analysis and Synthesis of Time-Delay Systems [Master dissertation], Harbin Institute of Technology, China, 2011 |
| [82] | Li X W, Gao H J. Robust finite frequency H∞ filtering for uncertain 2-D Roesser systems. Automatica, 2012, 48(6): 1163-1170 doi: 10.1016/j.automatica.2012.03.012 |
| [83] | Li X W, Gao H J, Karimi H R. Robust H∞ filtering for 2-D FM systems: a finite frequency approach. In: Proceedings of the 51st IEEE Annual Conference on Decision and Control. Maui, Hawaii, USA: IEEE, 2012. 3526-3530 |
| [84] | Li X W, Gao H J. Robust finite frequency H∞ filtering for uncertain 2-D systems: the FM model case. Automatica, 2013, 49(8): 2446-2452 doi: 10.1016/j.automatica.2013.04.014 |
| [85] | Li X W, Gao H J. Reduced-order generalized H∞ filtering for linear discrete-time systems with application to channel equalization. IEEE Transactions on Signal Processing, 2014, 62(13): 3393-3402 doi: 10.1109/TSP.2014.2324996 |
| [86] | 丁大伟. 线性切换系统的若干问题研究 [博士学位论文], 东北大学, 中国, 2010 Ding Da-Wei. Study on Some Problems of Switched Linear Systems [Ph.D. dissertation], Northeastern University, China, 2010 |
| [87] | Ding D W, Yang G H. Fuzzy filter design for nonlinear systems in finite-frequency domain. IEEE Transactions on Fuzzy Systems, 2010, 18(5): 935-945 doi: 10.1109/TFUZZ.2010.2058807 |
| [88] | Wang H, Ju H H. Reliable H∞ filtering for LPV systems with sensor faults in finite frequency domain. International Journal of Systems Science, 2013, 44(12): 2310-2320 doi: 10.1080/00207721.2012.702240 |
| [89] | Grigoriadis K M. Optimal H∞ model reduction via linear matrix inequalities: continuous- and discrete-time cases. Systems & Control Letters, 1995, 26(5): 321-333 |
| [90] | Du X, Yang G H. H∞ model reduction of linear continuous-time systems over finite-frequency interval. IET Control Theory and Applications, 2010, 4(3): 499-508 doi: 10.1049/iet-cta.2008.0537 |
| [91] | 杜鑫. 基于LMI技术的线性系统模型降阶与静态输出反馈控制器设计[博士学位论文], 东北大学, 中国, 2009 Du Xin. LMI-based Approaches to Model Reduction and Static Output Feedback Controller Design for Linear Systems [Ph.D. dissertation], Northeastern University, China, 2009 |
| [92] | Du X, Liu F W, Zhu X L, Chao W. Finite frequency approaches to H∞ model reduction for continuous-time state delayed systems. In: Proceedings of the 24th Chinese Control and Decision Conference. Taiyuan, China: IEEE, 2012. 470-475 |
| [93] | Du X, Liu F W, Zhu X L, Zheng M. H∞ model reduction of discrete-time linear state delayed systems over finite-frequency ranges. In: Proceedings of the 24th Chinese Control and Decision Conference. Taiyuan, China: IEEE, 2012. 954-959 |
| [94] | Li X W, Gao H J. A frequency-specific enhanced approach to transfer function approximation. In: Proceedings of the 23rd IEEE International Symposium on Industrial Electronics. Istanbul, Turkey: IEEE, 2014. 18-22 |
| [95] | Li X W, Gao H J. Min-max approximation of transfer functions with application to filter design. IEEE Transactions on Signal Processing, 2015, 63(1): 31-40 doi: 10.1109/TSP.2014.2364787 |
| [96] | Li X W, Yin S, Gao H J. Passivity-preserving model reduction with finite frequency H∞ approximation performance. Automatica, 2014, 50(9): 2294-2303 doi: 10.1016/j.automatica.2014.07.001 |
| [97] | Li X W, Yu C B, Gao H J. Frequency-limited H∞ model reduction for positive systems. IEEE Transactions on Automatic Control, 2015, 60(4): 1093-1098 doi: 10.1109/TAC.2014.2352751 |
| [98] | Yang R, Xie L H, Zhang C S. Generalized two-dimensional Kalman-Yakubovich-Popov lemma for discrete Roesser model. IEEE Transactions on Circuits and Systems—I: Regular Papers, 2008, 55(10): 3223-3233 doi: 10.1109/TCSI.2008.923284 |
| [99] | Li X W, Lam J, Cheung K C. Generalized H∞ model reduction for stable two-dimensional discrete systems. Multidimensional Systems and Signal Processing, 2016, 27(2): 359-382 doi: 10.1007/s11045-014-0306-3 |
| [100] | Shen J, Lam J. Improved results on H∞ model reduction for continuous-time linear systems over finite frequency ranges. Automatica, 2015, 5: 79-84 http://cn.bing.com/academic/profile?id=2089410483&encoded=0&v=paper_preview&mkt=zh-cn |
| [101] | Ding D W, Du X, Li X. Finite-frequency model reduction of two-dimensional digital filters. IEEE Transactions on Automatic Control, 2015, 60(6): 1624-1629 doi: 10.1109/TAC.2014.2359305 |
| [102] | Wang H, Yang G H. A finite frequency domain approach to fault detection observer design for linear continuous-time systems. Asian Journal of Control, 2008, 10(5): 559-568 doi: 10.1002/asjc.v10:5 |
| [103] | Wang H, Yang G H. A finite frequency domain approach to fault detection for linear discrete-time systems. International Journal of Control, 2008, 81(7): 1162-1171 doi: 10.1080/00207170701691513 |
| [104] | 王恒, 居鹤华, 杨光红. 线性多胞型不确定连续系统故障检测滤波器设计. 自动化学报, 2010, 36(5): 742-750 http://www.aas.net.cn/CN/abstract/abstract13721.shtml Wang Heng, Ju He-Hua, Yang Guang-Hong. Fault detection filter design for linear polytopic uncertain continuous-time systems. Acta Automatica Sinica, 2010, 36(5): 742-750 http://www.aas.net.cn/CN/abstract/abstract13721.shtml |
| [105] | Wang H, Yang G H. Simultaneous fault detection and control for uncertain linear discrete-time systems. IET Control Theory and Applications, 2009, 3(5): 583-594 doi: 10.1049/iet-cta.2007.0463 |
| [106] | Yang G H, Wang H, Xie L H. Fault detection for output feedback control systems with actuator stuck faults: a steady-state-based approach. International Journal of Robust & Nonlinear Control, 2010, 20(15): 1739-1757 http://cn.bing.com/academic/profile?id=2022087177&encoded=0&v=paper_preview&mkt=zh-cn |
| [107] | Yang H J, Xia Y Q, Liu B. Fault detection for T-S fuzzy discrete systems in finite-frequency domain. IEEE Transactions on Systems, Man, and Cybernetics--Part B: Cybernetics, 2011, 41(4): 911-920 doi: 10.1109/TSMCB.2010.2099653 |
| [108] | Yang H J, Xia Y Q, Zhang J H. Generalised finite-frequency KYP lemma in delta domain and applications to fault detection. International Journal of Control, 2011, 84(3): 511-525 doi: 10.1080/00207179.2011.561501 |
| [109] | Zhang Z, Jaimoukha I M. Optimal state space solution to the fault detection problem at single frequency. In: Proceedings of the 18th IFAC World Congress. Milano, Italy: IFAC, 2011. 7619-7624 |
| [110] | Long Y, Yang G H. Fault detection and isolation for networked control systems with finite frequency specifications. International Journal of Robust & Nonlinear Control, 2014, 24(3): 495-514 http://cn.bing.com/academic/profile?id=1917424513&encoded=0&v=paper_preview&mkt=zh-cn |
| [111] | Long Y, Yang G H. Fault detection in finite frequency domain for networked control systems with missing measurements. Journal of the Franklin Institute, 2013, 350(9): 2605-2626 doi: 10.1016/j.jfranklin.2013.01.015 |
| [112] | Zhang K, Jiang B, Shi P, Xu J F. Multi-constrained fault estimation observer design with finite frequency specifications for continuous-time systems. International Journal of Control, 2014, 87(8): 1635-1645 doi: 10.1080/00207179.2014.880950 |
| [113] | Zhang K, Jiang B, Shi P, Xu J. Fault estimation observer design for discrete-time systems in finite-frequency domain. International Journal of Robust & Nonlinear Control, 2015, 25(9): 1379-1398 http://cn.bing.com/academic/profile?id=1486867056&encoded=0&v=paper_preview&mkt=zh-cn |
| [114] | Zhang K, Jiang B, Shi P, Xu J F. Analysis and design of robust H∞ fault estimation observer with finite-frequency specifications for discrete-time fuzzy systems. IEEE Transactions on Cybernetics, 2015, 45(7): 1225-1235 doi: 10.1109/TCYB.2014.2347697 |
| [115] | Zhou T. Generalized positiveness of spatially interconnected systems over quadratically constrained frequency domains. Systems & Control Letters, 2012, 61(12): 1187-1193 http://cn.bing.com/academic/profile?id=2031127339&encoded=0&v=paper_preview&mkt=zh-cn |
| [116] | Sun W C, Zhao Y, Li J F, Zhang L X, Gao H J. Active suspension control with frequency band constraints and actuator input delay. IEEE Transactions on Industrial Electronics, 2012, 59(1): 530-537 doi: 10.1109/TIE.2011.2134057 |
| [117] | Xiong J L, Petersen I R, Lanzon A. Finite frequency negative imaginary systems. IEEE Transactions on Automatic Control, 2012, 57(11): 2917-2922 doi: 10.1109/TAC.2012.2193705 |
| [118] | Hoang H G, Tuan H D, Apkarian P. A Lyapunov variable-free KYP lemma for SISO continuous systems. IEEE Transactions on Automatic Control, 2008, 53(11): 2669-2673 doi: 10.1109/TAC.2008.2007156 |
| [119] | Hoang H G, Tuan H D, Nguyen T Q. Frequency-selective KYP lemma, IIR filter, and filter bank design. IEEE Transactions on Signal Processing, 2009, 57(3): 956-965 doi: 10.1109/TSP.2008.2009012 |
| [120] | Pipeleers G, Vandenberghe L. Generalized KYP lemma with real data. IEEE Transactions on Automatic Control, 2011, 56(12): 2942-2946 doi: 10.1109/TAC.2011.2161945 |
| [121] | Pipeleers G, Iwasaki T, Hara S. Generalizing the KYP lemma to multiple frequency intervals. SIAM Journal on Control and Optimization, 2014, 52(6): 3618-3638 doi: 10.1137/130938451 |
| [122] | Graham M R, de Oliveira M C, de Callafon R A. An alternative Kalman-Yakubovich-Popov lemma and some extensions. Automatica, 2009, 45(6): 1489-1496 doi: 10.1016/j.automatica.2009.02.006 |
| [123] | Graham M R, de Oliveira M C. Linear matrix inequality tests for frequency domain inequalities with affine multipliers. Automatica, 2010, 46(5): 897-901 doi: 10.1016/j.automatica.2010.02.009 |
| [124] | Tanaka T, Langbort C. Symmetric formulation of the S-procedure, Kalman-Yakubovich-Popov lemma and their exact losslessness conditions. IEEE Transactions on Automatic Control, 2013, 58(6): 1486-1496 doi: 10.1109/TAC.2013.2237832 |
| [125] | Iwasaki T, Hara S, Fradkov A L. Time domain interpretations of frequency domain inequalities on (semi) finite ranges. Systems & Control Letters, 2005, 54(7): 681-691 http://cn.bing.com/academic/profile?id=2072400962&encoded=0&v=paper_preview&mkt=zh-cn |
| [126] | Kaizuka Y, Kojima C, Hara S. Time domain characterization of finite frequency properties via behavioral approach. In: Proceedings of the SICE Annual Conference 2008. Tokyo, Japan: IEEE, 2008. 2364-2369 |
| [127] | Kojima C, Hara S. An achievability condition for n-dimensional behaviors with a finite frequency specification: dissipation inequalities approach. In: Proceedings of the 49th IEEE Conference on Decision and Control. Atlanta, GA: IEEE, 2010. 7730-7735 |
| [128] | Kojima C, Hara S. Controller synthesis for multiple finite frequency specifications: dissipation inequalities approach. In: Proceedings of the SICE Annual Conference 2010. Taipei, China: IEEE, 2010. 173-178 |
| [129] | Sun W C, Li J F, Zhao Y, Gao H J. Vibration control for active seat suspension systems via dynamic output feedback with limited frequency characteristic. Mechatronics, 2011, 21(1): 250-260 doi: 10.1016/j.mechatronics.2010.11.001 |
| [130] | Li X W, Gao H J. Load mitigation for a floating wind turbine via generalized H∞ structural control. IEEE Transactions on Industrial Electronics, 2016, 63(1): 332-342 doi: 10.1109/TIE.2015.2465894 |
| [131] | Nagahara M, Yamamoto Y. Frequency domain min-max optimization of noise-shaping delta-sigma modulators. IEEE Transactions on Signal Processing, 2012, 60(6): 2828-2839 doi: 10.1109/TSP.2012.2188522 |
| [132] | Li X W, Gao H J, Yu C B. An iterative LMI approach to IIR noise transfer function optimization for delta-sigma modulators. In: Proceedings of the 3rd Australian Control Conference. Fremantle, WA: IEEE, 2013. 67-72 |
| [133] | Li X W, Yu C B, Gao H J. Design of delta-sigma modulators via generalized Kalman-Yakubovich-Popov lemma. Automatica, 2014, 50(10): 2700-2708 doi: 10.1016/j.automatica.2014.09.002 |
| [134] | Li X W, Gao H J, Gu K Q. Delay-independent stability analysis of linear time-delay systems based on frequency discretization. Automatica, 2016, 70: 288-294 doi: 10.1016/j.automatica.2015.12.031 |
| [135] | Li X W, Lam J, Gao H J, Gu Y. A frequency-partitioning approach to stability analysis of two-dimensional discrete systems. Multidimensional Systems and Signal Processing, 2015, 26(1): 67-93 doi: 10.1007/s11045-013-0237-4 |
| [136] | ÅstrÖm K J, Murray R M. Feedback Systems: An Introduction for Scientists and Engineers. Princeton: Princeton University Press, 2008. |
| [137] | Wu F, Jaramillo J J. Computationally efficient algorithm for frequency-weighted optimal H∞ model reduction. Asian Journal of Control, 2003, 5(3): 341-349 http://cn.bing.com/academic/profile?id=2138201448&encoded=0&v=paper_preview&mkt=zh-cn |
| [138] | De Oliveira M C, Skelton R E. Stability tests for constrained linear systems. Perspectives in Robust Control. London: Springer-Verlag, 2001. 241-257 http://cn.bing.com/academic/profile?id=1927395284&encoded=0&v=paper_preview&mkt=zh-cn |
| [139] | Chao H H, Vandenberghe L. Extensions of semidefinite programming methods for atomic decomposition. In: Proceedings of the 41st IEEE International Conference on Acoustics, Speech and Signal Processing. Shanghai, China: IEEE, 2016. 4757-4761 |