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

作　　者：刘健辰[1] 章兢[1] 

机构地区：[1]湖南大学电气与信息工程学院,湖南长沙410082

出　　处：《控制理论与应用》2010年第6期809-814,共6页Control Theory & Applications

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.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.

关 键 词：Markovian跳变系统 时滞 积分不等式方法 锥补线性化 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]