输入时滞Markov跳变系统鲁棒保性能控制及其仿真研究

Robust Guaranteed Cost Control for a Class of Markov Jump Systems with Input Delays and Its Simulation Study

研究一类具有模态相关时变输入和状态时滞的不确定马尔可夫跳变系统的鲁棒保性能控制问题。基于自由权矩阵方法,通过构造一个新的Lyapunov函数,给出了此类系统存在无记忆状态反馈鲁棒保性能控制律的充分条件,估计了其保性能值。并且,控制器的设计归结为一组LMI的求解问题。仿真实例说明了提出方法的有效性。

The problem of the robust guaranteed cost control for a class of uncertain Markov jump linear systems with mode-dependent time-varying input and state delays was studied.Based on free-weighting matrices technique,the sufficient condition of the existence of memoryless state feedback robust guaranteed-cost control law for such systems was given by constructing a new Lyapunov function,and the robust guaranteed cost value was also given.The design of robust guaranteed cost controllers was expressed in terms of a set of LMIs.A simulation example shows that the proposed approach is efficient.