双层模型预测控制系统的多包镇定域分析与系统设计

朱宇轩; 李少远; 朱宇轩; 李少远

doi:10.16383/j.aas.2018.c160394

[1]

席裕庚, 李德伟.预测控制定性综合理论的基本思想和研究现状.自动化学报, 2008, 34 (10):1225-1234 http://www.aas.net.cn/CN/abstract/abstract17992.shtml

Xi Yu-Geng, Li De-Wei. Fundamental philosophy and status of qualitative synthesis of model predictive control. Acta Automatica Sinica, 2008, 34 (10):1225-1234 http://www.aas.net.cn/CN/abstract/abstract17992.shtml

[2]

席裕庚, 李德伟, 林姝.模型预测控制-现状与挑战.自动化学报, 2013, 39 (3):222-236 http://www.aas.net.cn/CN/abstract/abstract17874.shtml

Xi Yu-Geng, Li De-Wei, Lin Shu. Model predictive control-status and challenges. Acta Automatica Sinica, 2013, 39 (3):222-236 http://www.aas.net.cn/CN/abstract/abstract17874.shtml

[3]

席裕庚.预测控制.第2版.北京:国防工业出版社, 2013. 15-67

Xi Yu-Geng. Predictive Control (Second Edition). Beijing:National Defense Industry Press, 2013. 15-67

[4]

Sildir H, Arkun Y, Cakal B, Gokce D, Kuzu E. Plant-wide hierarchical optimization and control of an industrial hydrocracking process. Journal of Process Control, 2013, 23 (9):1229-1240 doi: 10.1016/j.jprocont.2013.07.007

[5]

Darby M L, Nikolaou M, Jones J, Nicholson D. RTO:an overview and assessment of current practice. Journal of Process Control, 2011, 21 (6):874-884 doi: 10.1016/j.jprocont.2011.03.009

[6]

Scattolini R. Architectures for distributed and hierarchical model predictive control-a review. Journal of Process Control, 2009, 19 (5):723-731 doi: 10.1016/j.jprocont.2009.02.003

[7]

李世卿, 丁宝苍.基于动态矩阵控制的双层结构预测控制的整体解决方案.自动化学报, 2015, 41 (11):1857-1866 http://www.aas.net.cn/CN/abstract/abstract18761.shtml

Li Shi-Qing, Ding Bao-Cang. An overall solution to double-layered model predictive control based on dynamic matrix control. Acta Automatica Sinica, 2015, 41 (11):1857-1866 http://www.aas.net.cn/CN/abstract/abstract18761.shtml

[8]

李世卿, 丁宝苍, 孙耀.双层预测控制中基于操作变量增量的多优先级稳态目标计算.控制理论与应用, 2015, 32 (2):239-245 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=kzllyyy201502014

Li Shi-Qing, Ding Bao-Cang, Sun Yao. Multi-priority rank steady-state target calculation in double-layered model predictive control by optimizing increments of manipulated variables. Control Theory & Applications, 2015, 32 (2):239-245 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=kzllyyy201502014

[9]

Mayne D Q, Rawlings J B, Rao C V, Scokaert P O M. Constrained model predictive control:stability and optimality. Automatica, 2000, 36 (6):789-814 doi: 10.1016/S0005-1098(99)00214-9

[10]

Gutman P O, Cwikel M. An algorithm to find maximal state constraint sets for discrete-time linear dynamical systems with bounded controls and states. IEEE Transactions on Automatic Control, 1987, 32 (3):251-254 doi: 10.1109/TAC.1987.1104567

[11]

Gilbert E G, Tan K T. Linear systems with state and control constraints:the theory and application of maximal output admissible sets. IEEE Transactions on Automatic Control, 1991, 36 (9):1008-1020 doi: 10.1109/9.83532

[12]

潘红光, 高海南, 孙耀, 张英, 丁宝苍.基于多优先级稳态优化的双层结构预测控制算法及软件实现.自动化学报, 2014, 40 (3):405-414 http://www.aas.net.cn/CN/abstract/abstract18305.shtml

Pan Hong-Guang, Gao Hai-Nan, Sun Yao, Zhang Ying, Ding Bao-Cang. The algorithm and software implementation for double-layered model predictive control based on multi-priority rank steady-state optimization. Acta Automatica Sinica, 2014, 40 (3):405-414 http://www.aas.net.cn/CN/abstract/abstract18305.shtml

[13]

Blanchini F. Set invariance in control. Automatica, 1999, 35 (11):1747-1767 doi: 10.1016/S0005-1098(99)00113-2

[14]

Li Z J, Tan W, Nian S C, Liu J Z. A stabilizing model predictive control for linear systems with input saturation. In: Proceedings of the 2006 International Conference on Machine Learning and Cybernetics. Dalian, China: IEEE, 2006. 671-675

[15]

Li Z J, Liu J Z, Tan W. Multi-model H_∞ loop shaping controller for nonlinear system based on gap metric. In: Proceedings of the ICARCV 8th Control, Automation, Robotics and Vision Conference. Kunming, China: IEEE, 2004, 3: 1940-1944

[16]

Kosut R. Design of linear systems with saturating linear control and bounded states. IEEE Transactions on Automatic Control, 1983, 28 (1):121-124 doi: 10.1109/TAC.1983.1103127

[17]

李志军. 约束模型预测控制的稳定性与鲁棒性研究[博士学位论文], 华北电力大学(北京), 中国, 2005.

Li Zhi-Jun. Research on Stability and Robustness of Constrained Model Predictive Control[Ph. D. dissertation], North China Electric Power University (Beijing), China, 2005.

[18]

Limon D, Alvarado I, Alamo T, Camacho E F. MPC for tracking piecewise constant references for constrained linear systems. Automatica, 2008, 44 (9):2382-2387 doi: 10.1016/j.automatica.2008.01.023

[19]

Chen H, Allgöwer F. A quasi-infinite horizon nonlinear model predictive control scheme with guaranteed stability. Automatica, 1998, 34 (10):1205-1217 doi: 10.1016/S0005-1098(98)00073-9

[20]

曹永岩, 毛维杰, 孙优贤, 冯旭.现代控制理论的工程应用.杭州:浙江大学出版社, 2000.

Cao Yong-Yan, Mao Wei-Jie, Sun You-Xian, Feng Xu. Engineering Application of Modern Control Theory. Hangzhou:Zhejiang University Press, 2000.

[21]

Pluymers B, Rossiter J A, Suykens J A K, Moor B D. The efficient computation of polyhedral invariant sets for linear systems with polytopic uncertainty. In: Proceedings of the 2005 American Control Conference. Portland, OR, USA: IEEE, 2005, 2: 804-809

[1]	席裕庚, 李德伟.预测控制定性综合理论的基本思想和研究现状.自动化学报, 2008, 34 (10):1225-1234 http://www.aas.net.cn/CN/abstract/abstract17992.shtml Xi Yu-Geng, Li De-Wei. Fundamental philosophy and status of qualitative synthesis of model predictive control. Acta Automatica Sinica, 2008, 34 (10):1225-1234 http://www.aas.net.cn/CN/abstract/abstract17992.shtml
[2]	席裕庚, 李德伟, 林姝.模型预测控制-现状与挑战.自动化学报, 2013, 39 (3):222-236 http://www.aas.net.cn/CN/abstract/abstract17874.shtml Xi Yu-Geng, Li De-Wei, Lin Shu. Model predictive control-status and challenges. Acta Automatica Sinica, 2013, 39 (3):222-236 http://www.aas.net.cn/CN/abstract/abstract17874.shtml
[3]	席裕庚.预测控制.第2版.北京:国防工业出版社, 2013. 15-67 Xi Yu-Geng. Predictive Control (Second Edition). Beijing:National Defense Industry Press, 2013. 15-67
[4]	Sildir H, Arkun Y, Cakal B, Gokce D, Kuzu E. Plant-wide hierarchical optimization and control of an industrial hydrocracking process. Journal of Process Control, 2013, 23 (9):1229-1240 doi: 10.1016/j.jprocont.2013.07.007
[5]	Darby M L, Nikolaou M, Jones J, Nicholson D. RTO:an overview and assessment of current practice. Journal of Process Control, 2011, 21 (6):874-884 doi: 10.1016/j.jprocont.2011.03.009
[6]	Scattolini R. Architectures for distributed and hierarchical model predictive control-a review. Journal of Process Control, 2009, 19 (5):723-731 doi: 10.1016/j.jprocont.2009.02.003
[7]	李世卿, 丁宝苍.基于动态矩阵控制的双层结构预测控制的整体解决方案.自动化学报, 2015, 41 (11):1857-1866 http://www.aas.net.cn/CN/abstract/abstract18761.shtml Li Shi-Qing, Ding Bao-Cang. An overall solution to double-layered model predictive control based on dynamic matrix control. Acta Automatica Sinica, 2015, 41 (11):1857-1866 http://www.aas.net.cn/CN/abstract/abstract18761.shtml
[8]	李世卿, 丁宝苍, 孙耀.双层预测控制中基于操作变量增量的多优先级稳态目标计算.控制理论与应用, 2015, 32 (2):239-245 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=kzllyyy201502014 Li Shi-Qing, Ding Bao-Cang, Sun Yao. Multi-priority rank steady-state target calculation in double-layered model predictive control by optimizing increments of manipulated variables. Control Theory & Applications, 2015, 32 (2):239-245 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=kzllyyy201502014
[9]	Mayne D Q, Rawlings J B, Rao C V, Scokaert P O M. Constrained model predictive control:stability and optimality. Automatica, 2000, 36 (6):789-814 doi: 10.1016/S0005-1098(99)00214-9
[10]	Gutman P O, Cwikel M. An algorithm to find maximal state constraint sets for discrete-time linear dynamical systems with bounded controls and states. IEEE Transactions on Automatic Control, 1987, 32 (3):251-254 doi: 10.1109/TAC.1987.1104567
[11]	Gilbert E G, Tan K T. Linear systems with state and control constraints:the theory and application of maximal output admissible sets. IEEE Transactions on Automatic Control, 1991, 36 (9):1008-1020 doi: 10.1109/9.83532
[12]	潘红光, 高海南, 孙耀, 张英, 丁宝苍.基于多优先级稳态优化的双层结构预测控制算法及软件实现.自动化学报, 2014, 40 (3):405-414 http://www.aas.net.cn/CN/abstract/abstract18305.shtml Pan Hong-Guang, Gao Hai-Nan, Sun Yao, Zhang Ying, Ding Bao-Cang. The algorithm and software implementation for double-layered model predictive control based on multi-priority rank steady-state optimization. Acta Automatica Sinica, 2014, 40 (3):405-414 http://www.aas.net.cn/CN/abstract/abstract18305.shtml
[13]	Blanchini F. Set invariance in control. Automatica, 1999, 35 (11):1747-1767 doi: 10.1016/S0005-1098(99)00113-2
[14]	Li Z J, Tan W, Nian S C, Liu J Z. A stabilizing model predictive control for linear systems with input saturation. In: Proceedings of the 2006 International Conference on Machine Learning and Cybernetics. Dalian, China: IEEE, 2006. 671-675
[15]	Li Z J, Liu J Z, Tan W. Multi-model H_∞ loop shaping controller for nonlinear system based on gap metric. In: Proceedings of the ICARCV 8th Control, Automation, Robotics and Vision Conference. Kunming, China: IEEE, 2004, 3: 1940-1944
[16]	Kosut R. Design of linear systems with saturating linear control and bounded states. IEEE Transactions on Automatic Control, 1983, 28 (1):121-124 doi: 10.1109/TAC.1983.1103127
[17]	李志军. 约束模型预测控制的稳定性与鲁棒性研究[博士学位论文], 华北电力大学(北京), 中国, 2005. Li Zhi-Jun. Research on Stability and Robustness of Constrained Model Predictive Control[Ph. D. dissertation], North China Electric Power University (Beijing), China, 2005.
[18]	Limon D, Alvarado I, Alamo T, Camacho E F. MPC for tracking piecewise constant references for constrained linear systems. Automatica, 2008, 44 (9):2382-2387 doi: 10.1016/j.automatica.2008.01.023
[19]	Chen H, Allgöwer F. A quasi-infinite horizon nonlinear model predictive control scheme with guaranteed stability. Automatica, 1998, 34 (10):1205-1217 doi: 10.1016/S0005-1098(98)00073-9
[20]	曹永岩, 毛维杰, 孙优贤, 冯旭.现代控制理论的工程应用.杭州:浙江大学出版社, 2000. Cao Yong-Yan, Mao Wei-Jie, Sun You-Xian, Feng Xu. Engineering Application of Modern Control Theory. Hangzhou:Zhejiang University Press, 2000.
[21]	Pluymers B, Rossiter J A, Suykens J A K, Moor B D. The efficient computation of polyhedral invariant sets for linear systems with polytopic uncertainty. In: Proceedings of the 2005 American Control Conference. Portland, OR, USA: IEEE, 2005, 2: 804-809