具有时变输入与状态时滞的Markov跳变系统鲁棒H∞控制

Robust H-infinity control for Markovian jump systems with time-varying time-delay in input and state

中文关键词  Markovian跳变系统  时滞  积分不等式方法  锥补线性化

英文关键词  Markovian jump system  time-delay  integral-inequality method  cone complementary linearization

中文摘要

      研究一类同时具有时变输入和状态时滞的不确定Markov跳变系统的时滞相关鲁棒H∞控制问题. 采用新的Lyapunov-Krasovskii泛函, 基于积分不等式方法, 使所得结果具有较小的保守性. 避免对时变时滞变化率等的限制. 控制器可以通过锥补线性化方法求解. 数值算例显示所提出方法的有效性.

英文摘要

      The delay-dependent robust H-infinity control for a class of uncertain Markovian jump linear systems with time-varying time-delay in input and state is studied. Since we employ in the study the new Lyapunov-Krasovskii functional and the integral-inequality method, the obtained results are less conservative. The constraints on the changing rate of the time-delay in the existing literature are avoided in our results. The controller can be solved by the cone complementary linearization method. Numerical examples show the effectiveness of the proposed approach.