Robust H-infinity Control for Stochastic Markovian Switching Systems Under Partly Known Transition Probabilities and Actuator Saturation via Anti-Windup Design

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• 作者：Wenhai Qi ; Xianwen Gao ; Yuexiang Li
• 关键词：Markovian switching systems ; Partly known transition probabilities ; Actuator saturation ; Anti ; windup design ; Stochastic disturbance
• 刊名：Circuits, Systems, and Signal Processing
• 出版年：2015
• 出版时间：July 2015
• 年：2015
• 卷：34
• 期：7
• 页码：2141-2165
• 全文大小：1,076 KB
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• 作者单位：Wenhai Qi (1)
  Xianwen Gao (1)
  Yuexiang Li (1)
  
  1. College of Information Science and Engineering, Northeastern University, Shenyang, 110819, China
  
• 刊物类别：Engineering
• 刊物主题：Electronic and Computer Engineering
  
• 出版者：Birkh盲user Boston
• ISSN：1531-5878

文摘

This paper deals with the problem of robust H-infinity control for stochastic Markovian switching systems with partly known transition probabilities and actuator saturation via anti-windup design. Under the assumption that output feedback controllers have been built to stabilize the stochastic Markovian switching system, anti-windup compensators are designed to expand the domain of attraction of the corresponding closed-loop system that contains admissible external disturbance, \(\hbox {It}\hat{o}\)-type stochastic disturbance, and norm-bounded parameter uncertainties. The procedure of deriving anti-windup compensation gain matrices is converted into an optimization problem with constraints of a set of linear matrix inequalities. Finally, numerical examples are given to demonstrate the validity of the main results.