Guaranteed Cost Control for Singular Markovian Jump Systems with Time Delay
This paper is concerned with delay-dependent guaranteed cost control (GCC) problem for uncertain singular time-delay systems with Markovian jumping parameters. In terms of linear matrix inequality (LMI) approach, the sufficient conditions are proposed for singular Markovian jump systems with time-delay to be stochastically admissible. Based on this, the sufficient conditions are obtained for the existence of guaranteed cost controller, which guarantees the uncertain singular Markovian jump systems with time-delay to be regular, impulse free and stochastically stable and the quadratic cost function smaller than an upper bound. The explicit expression of the guaranteed cost controller is also characterized by solving a set of LMIs. Numerical example is given to show the effectiveness of the proposed method.
singular systems markovian jumping parameters delay-dependent guaranteed cost control
Yu Zhou Hua Li
School of Automation and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou, 730070
国际会议
The 22nd China Control and Decision Conference(2010年中国控制与决策会议)
徐州
英文
1971-1975
2010-05-26（万方平台首次上网日期，不代表论文的发表时间）