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Robust H Fuzzy Output-feedback Control With Both General Multiple Probabilistic Delays and Multiple Missing Measurements and Random Missing Control

 引用本文: 张必山, 马忠军, 杨美香. 既含有一般多个随机延迟以及多个测量丢失和随机控制丢失的鲁棒H∞模糊输出反馈控制. 自动化学报, 2017, 43(9): 1656-1664.
Zhang Bishan, Ma Zhongjun, Yang Meixiang. Robust H∞ Fuzzy Output-feedback Control With Both General Multiple Probabilistic Delays and Multiple Missing Measurements and Random Missing Control. ACTA AUTOMATICA SINICA, 2017, 43(9): 1656-1664. doi: 10.16383/j.aas.2017.e150082
 Citation: Zhang Bishan, Ma Zhongjun, Yang Meixiang. Robust H∞ Fuzzy Output-feedback Control With Both General Multiple Probabilistic Delays and Multiple Missing Measurements and Random Missing Control. ACTA AUTOMATICA SINICA, 2017, 43(9): 1656-1664.

## Robust H∞ Fuzzy Output-feedback Control With Both General Multiple Probabilistic Delays and Multiple Missing Measurements and Random Missing Control

##### DOI: 10.16383/j.aas.2017.e150082

###### 通讯作者:Bishan Zhang received the M.S. degree from Chongqing University, China, in 2003. He is currently an Associate Professor with the School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China. His research interests include robust control, neural networks and their applications in motion control system. Corresponding author of this paper. E-mail: bshzhang30@sina.com
• 基金项目:

the Outstanding Young Teachers Training in Higher Education Institutions of Guangxi gxqg022014025

the National Natural Science Foundation of China 11562006

the Natural Science Foundation of Guangxi Province 2015GXNSFAA139013

the National Natural Science Foundation of China 11661025

## Robust H∞ Fuzzy Output-feedback Control With Both General Multiple Probabilistic Delays and Multiple Missing Measurements and Random Missing Control

###### Corresponding author:Bishan Zhang received the M.S. degree from Chongqing University, China, in 2003. He is currently an Associate Professor with the School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China. His research interests include robust control, neural networks and their applications in motion control system. Corresponding author of this paper. E-mail: bshzhang30@sina.com
• Fund Project:

the Outstanding Young Teachers Training in Higher Education Institutions of Guangxi gxqg022014025

the National Natural Science Foundation of China 11562006

the Natural Science Foundation of Guangxi Province 2015GXNSFAA139013

the National Natural Science Foundation of China 11661025

• 摘要: 这篇文章研究了一类不确定离散时间模糊系统的鲁棒H控制问题，这类系统是既含有多个随机延迟、多测量丢失又含有从模糊控制器到发生器的随机控制信号丢失.描述随机通信延迟和随机控制信号丢失的随机变量认为是相互独立服从贝努利分布.测量丢失现象认为是随机发生的.假定对每个传感器发生丢失的概率位于区间[0，1]上是给定的.大量的注意力集中在设计H模糊输出反馈控制器以确保所得到的闭环Tagagi-Segeno（T-S）系统按均方意义是指数稳定的.文章所用的方法能使扰动拒绝达到说给定的指标.通过大量的分析得出了满足指数稳定性以及预先给定的H性能指标的容许输出反馈控制器的存在性的充分条件.另外，锥型补线性化过程用于将控制设计问题转化成能用半正定规划方法求解的序列极小化问题.最后，模拟结果证实了文中所提出的设计方法的可行性和有效性.
Recommended by Associate Editor Jiming Chen
• Fig.  1  Framework of output feedback control systems over network environment.

Fig.  2  State evolution $x(k)$ of uncontrolled systems.

Fig.  3  State evolution $x(k)$ of controlled systems.

Fig.  4  Output feedback controller $x_c(k)$.

Fig.  5  Controlled output $z(k)$.

Fig.  6  Output feedback controller $u(k)$.

•  [1] G. Feng, "A survey on analysis and design of model-based fuzzy control systems, "IEEE Trans. Fuzzy Syst. , vol. 14, no. 5, pp. 676-697, Oct. 2006. [2] C. C. Hua, Q. G. Wang, and X. P. Guan, "Adaptive fuzzy output-feedback controller design for nonlinear time-delay systems with unknown control direction, "IEEE Trans. Syst. Man Cybern. B Cybern. , vol. 39, no. 2, pp. 306-317, Apr. 2009.http://www.ncbi.nlm.nih.gov/pubmed/19095556 [3] K. Tanaka, H. Ohtake, and H. O. Wang, "Guaranteed cost control of polynomial fuzzy systems via a sum of squares approach, "IEEE Trans. Syst. Man Cybern. B Cybern. , vol. 39, no. 2, pp. 561-567, Apr. 2009.http://europepmc.org/abstract/MED/19095549 [4] L. G. Wu and W. X. Zheng, " L2/L∞ control of nonlinear fuzzy Itô stochastic delay systems via dynamic output feedback, "IEEE Trans. Syst. Man Cybern. B Cybern. , vol. 39, no. 5, pp. 1308-1315, Oct. 2009.http://ieeexplore.ieee.org/document/4804613/ [5] H. L. Dong, Z. D. Wang, D. W. C. Ho, and H. J. Gao, "Robust H∞ fuzzy output-feedback control with multiple probabilistic delays and multiple missing measurements, "IEEE Trans. Fuzzy Syst. , vol. 18, no. 4, pp. 712-725, Aug. 2010.http://dl.acm.org/citation.cfm?id=1856597 [6] J. B. Qiu, G. Feng, and H. J. Gao, "Fuzzy-model-based piecewise H∞ static-output-feedback controller design for networked nonlinear system, "IEEE Trans. Fuzzy Syst. , vol. 18, no. 5, pp. 919-934, Oct. 2010.http://dl.acm.org/citation.cfm?id=1892548 [7] J. B. Qiu, G. Feng, and H. J. Gao, "Observer-based piecewise affine output feedback controller synthesis of continuous-time T-S fuzzy affine dynamic systems using quantized measurements, "IEEE Trans. Fuzzy Syst. , vol. 20, no. 6, pp. 1046-1062, Dec. 2012.http://dl.acm.org/citation.cfm?id=2721232 [8] J. B. Qi, G. Feng, and H. J. Gao, "Static-output-feedback H∞ control of continuous-time T-S fuzzy affine systems via piecewise Lyapunov functions, "IEEE Trans. Fuzzy Syst. , vol. 21, no. 2, pp. 245-261, Apr. 2013. [9] Y. Y. Cao and P. M. Frank, "Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach, "IEEE Trans. Fuzzy Syst. , vol. 8, no. 2, pp. 200-211, Apr. 2000.http://dl.acm.org/citation.cfm?id=2234847 [10] B. Chen, X. P. Liu, S. C. Tong, and C. Lin, "Observer-based stabilization of T-S fuzzy systems with input delay, "IEEE Trans. Fuzzy Syst. , vol. 16, no. 3, pp. 652-663, Jun. 2008.http://ieeexplore.ieee.org/document/4358823/ [11] B. Chen and X. P. Liu, "Delay-dependent robust H∞ control for T-S fuzzy systems with time delay, "IEEE Trans. Fuzzy Syst. , vol. 13, no. 4, pp. 544-556, Aug. 2005.http://dl.acm.org/citation.cfm?id=2235274 [12] H. J. Gao, Y. Zhao, and T. W. Chen, " H∞ fuzzy control of nonlinear systems under unreliable communication links, "IEEE Trans. Fuzzy Syst. , vol. 17, no. 2, pp. 265-278, Apr. 2009.http://ieeexplore.ieee.org/document/4505329/ [13] X. F. Jiang and Q. L. Han, "On designing fuzzy controllers for a class of nonlinear networked control systems, "IEEE Trans. Fuzzy Syst. , vol. 16, no. 4, pp. 1050-1060, Aug. 2008.http://ieeexplore.ieee.org/document/4601110/ [14] C. Lin, Q. G. Wang, T. H. Lee, and Y. He, "Design of observer-based H∞ control for fuzzy time-delay systems, "IEEE Trans. Fuzzy Syst. , vol. 16, no. 2, pp. 534-543, Apr. 2008.http://ieeexplore.ieee.org/document/4358786/ [15] X. W. Liu, "Delay-dependent H∞ control for uncertain fuzzy systems with time-varying delays, "Nonlinear Anal. Theory Methods Appl. , vol. 68, no. 5, pp. 1352-1361, Mar. 2008.http://www.ams.org/mathscinet-getitem?mr=2381676 [16] M. Liu, D. W. C. Ho, and Y. G. Niu, "Stabilization of markovian jump linear system over networks with random communication delay, "Automatica, vol. 45, no. 2, pp. 416-421, Feb. 2009.http://dl.acm.org/citation.cfm?id=1497637.1497905 [17] S. K. Nguang and P. Shi, "Fuzzy H∞ output feedback control of nonlinear systems under sampled measurements, "Automatica, vol. 45, no. 12, pp. 2169-2174, Dec. 2003.http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=980889 [18] S. K. Nguang and P. Shi, "H∞ fuzzy output feedback control design for nonlinear systems: An LMI approach, "IEEE Trans. Fuzzy Syst. , vol. 11, no. 3, pp. 331-340, Jun. 2003.http://ieeexplore.ieee.org/xpls/icp.jsp?arnumber=1203792 [19] M. Sahebsara, T. W. Chen, and S. L. Shah, "Optimal H∞ filtering in networked control systems with multiple packet dropouts, "Syst. Control Lett. , vol. 57, no. 9, pp. 696-702, Sep. 2008. [20] P. Seiler and R. Sengupta, "An H∞ approach to networked control, "IEEE Trans. Automat. Control, vol. 50, no. 3, pp. 356-364, Mar. 2005.http://www.ams.org/mathscinet-getitem?mr=2123096 [21] S. L. Sun, L. H. Xie, and W. D. Xiao, "Optimal full-order and reduced-order estimators for discrete-time systems with multiple packet dropouts, "IEEE Trans. Signal Process. , vol. 56, no. 8, pp. 4031-4038, Aug. 2008.http://dl.acm.org/citation.cfm?id=2197942.2201355&coll=DL&dl=GUIDE&CFID=431149417&CFTOKEN=23120143 [22] Z. D. Wang, D. W. C. Ho, Y. R. Liu, and X. H. Liu, "Robust H∞ control for a class of nonlinear discrete time-delay stochastic systems with missing measurements, "Automatica, vol. 45, no. 3, pp. 684-691, Mar. 2009.http://dl.acm.org/citation.cfm?id=1513258 [23] H. N. Wu, "Delay-dependent H∞ fuzzy observer-based control for discrete-time nonlinear systems with state delay, "Fuzzy Sets Syst. , vol. 159, no. 20, pp. 2696-2712, Oct. 2008.http://dl.acm.org/citation.cfm?id=1403334 [24] H. N. Wu and K. Y. Cai, " H2 guaranteed cost fuzzy control for uncertain nonlinear systems via linear matrix inequalities, "Fuzzy Sets Syst. , vol. 148, no. 3, pp. 411-429, Dec. 2004.http://www.ams.org/mathscinet-getitem?mr=2101200 [25] F. W. Yang, Z. D. Wang, Y. S. Hung, and M. Gani, "H∞ control for networked systems with random communication delays, "IEEE Trans. Automat. Control, vol. 51, no. 3, pp. 511-518, Mar. 2006.http://ieeexplore.ieee.org/document/1605414/ [26] D. Yue, E. G. Tian, Y. J. Zhang, and C. Peng, "Delay-distribution-dependent stability and stabilization of T-S fuzzy systems with probabilistic interval delay, "IEEE Trans. Syst. Man Cybern. Part B, Cybern. , vol. 39, no. 2, pp. 503-516, Apr. 2009. [27] H. G. Zhang, M. Li, J. Yang, and D. D. Yang, "Fuzzy model-based robust networked control for a class of nonlinear systems, "IEEE Trans. Syst. Man Cybern. Part A, Syst. Hum. , vol. 39, no. 2, pp. 437-447, Mar. 2009.http://ieeexplore.ieee.org/document/4757263/ [28] L. Q. Zhang, Y. Shi, T. W. Chen, and B. Huang, "A new method for stabilization of networked control systems with random delays, "IEEE Trans. Automat. Control, vol. 50, no. 8, pp. 1177-1181, Aug. 2005.http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=1470028 [29] Y. Zhao, J. Wu, and P. Shi, "H∞ control of non-linear dynamic systems: A new fuzzy delay partitioning approach, "IET Control Theory Appl. , vol. 3, no. 7, pp. 917-928, Jul. 2009.http://www.ams.org/mathscinet-getitem?mr=2537969 [30] M. X. Liu, X. T. Liu, Y. Shi, and S. Q. Wang, "T-S fuzzy-model-based H2 and H∞ filtering for networked control systems with two-channel Markovian random delays, "Dig. Signal Process. , vol. 27, pp. 167-174, Apr. 2014.http://dl.acm.org/citation.cfm?id=2608860.2609119 [31] L. Qiu, Y. Shi, F. Q. Yao, G. Xu, and B. G. Xu, "Network-based robust H2/ H∞ control for linear systems with two-channel random packet dropouts and time delays, "IEEE Trans. Cyber. , vol. 45, no. 8, pp. 1450-1462, Aug. 2015.http://ieeexplore.ieee.org/xpls/icp.jsp?arnumber=6897996 [32] L. X. Zhang, "H∞ estimation for discrete-time piecewise homogeneous Markov jump linear systems, "Automatica, vol. 45, no. 11, pp. 2570-2576, Nov. 2009.http://www.ams.org/mathscinet-getitem?mr=2889314 [33] L. X. Zhang, N. G. Cui, M. Liu, and Y. Zhao, "Asynchronous filtering of discrete-time switched linear systems with average dwell time, "IEEE Trans. Circ. Syst. Ⅰ Regul. Pap., vol. 58, no.5, pp.1109-1118, May2011. [34] W. Assawinchaichote, S. K. Nguang, P. Shi, and E. Boukas, "H∞ fuzzy state-feedback control design for nonlinear systems with D-stability constraints: An LMI approach, "Math. Comput. Simul. , vol. 78, no. 4, pp. 514-531, Aug. 2008.http://www.ams.org/mathscinet-getitem?mr=2424560 [35] X. P. Guan and C. L. Chen, "Delay-dependent guaranteed cost control for T-S fuzzy systems with time delays, "IEEE Trans. Fuzzy Syst. , vol. 12, no. 2, pp. 236-249, Apr. 2004.http://ieeexplore.ieee.org/xpls/icp.jsp?arnumber=1284326 [36] L. El Ghaoui, F. Oustry, and M. A. Rami, "A cone complementarity linearization algorithm for static output-feedback and related problems, "IEEE Trans. Automat. Control, vol. 42, no. 8, pp. 1171-1176, Aug. 1997.http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=618250 [37] H. J. Gao, Z. D. Wang, and C. H. Wang, "Improved H∞ control of discrete-time fuzzy systems: A cone complementarity linearization approach, "Inf. Sci. , vol. 175, no. 1-2, pp. 57-77, Sep. 2005.http://www.sciencedirect.com/science/article/pii/S0020025504002932

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##### 出版历程
• 收稿日期:  2015-06-16
• 录用日期:  2016-08-02
• 刊出日期:  2017-09-20

## Robust H∞ Fuzzy Output-feedback Control With Both General Multiple Probabilistic Delays and Multiple Missing Measurements and Random Missing Control

##### doi: 10.16383/j.aas.2017.e150082
###### 通讯作者:Bishan Zhang received the M.S. degree from Chongqing University, China, in 2003. He is currently an Associate Professor with the School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China. His research interests include robust control, neural networks and their applications in motion control system. Corresponding author of this paper. E-mail: bshzhang30@sina.com

the Outstanding Young Teachers Training in Higher Education Institutions of Guangxi gxqg022014025

the National Natural Science Foundation of China 11562006

the Natural Science Foundation of Guangxi Province 2015GXNSFAA139013

the National Natural Science Foundation of China 11661025

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