一类带有执行器故障的随机跳跃系统的可靠控制

Reliable Control for Stochastic Jump Systems with Actuator Failures

研究了一类带有执行器故障的随机跳跃系统的可靠控制问题:主要工作是把此类系统要求转移概率完全已知的条件放宽到了转移概率部分未知的更一般情形,具有更小的保守性.首先,给出了保证此类系统随机稳定的充分条件;然后,提出了此类系统考虑执行器故障时的可靠控制问题,并设计了一个考虑执行器故障的可靠控制器.最后,基于带有执行器故障的可靠控制器设计方法,将问题归结为求解一组线性矩阵不等式的可行解问题.数值仿真算例说明了所得结果的有效性.

For a class of stochastic jump systems, the reliable control problem is investigated. A key point of this work relaxes the special requirement of completely known transition rates to a more general form, i. e., the transition rates are incomplete, which may lead to less conservativeness. Firstly, for the stochastic jump systems, the sufficient conditions ensuring the stochastic stability are developed. Secondly, the reliable control problem for stochastic jump systems with actuator failures is presented, and a reliable controller is designed. Finally, the design problem can be reduced to a set of LMIs feasibility problem based on the design of reliable controller. A numerical example is given to demonstrate the applicability of the main results.