Robust L2-L∞ Control for Jump Systems Subject to Actuator Saturation
In order to solve the L2-L∞ control problem for a class of Markov jump systems subject to actuator saturation,a design method of the mode-dependent dynamic output feedback controllers is proposed.Based on stochastic stability for the closed-loop system, L2-L∞ dynamic output feedback 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 L2L∞ controllers can be equivalent to a feasibility problem of coupled linear matrix inequalities(LMIs).Furthermore, a convex optimization problem with LMI constraints is formulated to design the optimal L2-L∞ 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 guaranteed cost controller
Ni Wei Zhang Yue Tang Zhongyi
Institute of Automation Huaiyin institute of technology Huaian China
国际会议
长沙
英文
862-865
2009-10-10（万方平台首次上网日期，不代表论文的发表时间）