Robust H∞ Control for Jump Systems Subject to Actuator Saturation
In order to solve the H- control problem for a class of Markov jump systems subject to actuator saturation, a design method of the controllers is proposed Based on stochastic stability for the closed-loop system,H-controller is designed. The concept of domain of attraction is used to analyze the stochastic stability and a sufficient condition which guarantees the intersection of ellipsoid invariant set under different modes in the domain of attraction is presented. The solvability condition of robust H∞ controllers can be equivalent to a feasibility problem of coupled linear matrix inequalities (LMls). Furthermore, a convex optimization problem with LMI constraints is formulated to design the optimal H∞controller such that the closed-loop system is stochastically stable and the cost function value is minimized. A numerical example is given to verify the effectiveness of this method.
Markov actuator saturation linear matrix inequalities H∞ controller
Tang Zhongyi Jing Defei
Institute of Automation,Huaiyin Institute of Technology
国际会议
长沙
英文
2528-2532
2010-03-13(万方平台首次上网日期,不代表论文的发表时间)