离散Markovian跳变系统概率转移矩阵部分未知的可靠控制

针对执行器故障和概率转移矩阵部分未知的情况,研究了一类离散Markovian跳变系统的可靠控制问题.设计有效的状态反馈可靠控制器,不仅使得闭环系统在无故障的情况下是随机稳定的,而且在执行器出现故障的情况下还仍然使得闭环系统是随机稳定的.用一组耦合可解的线性矩阵不等式给出了可靠控制器的可行性条件.数值算例表明了所提方法的可行性和有效性.

Reliable Control for Discrete-Time Markovian Jump Systems with Partly Unknown Transition Probabilities

Due to the actuator failures and partly unknown transition probabilities， reliable control problem was studied for a class of discrete linear Markovian jump systems. A reliable controller based on the state feedback method was designed to make the closed-loop systems randomly stable not only when all actuators are operational， but also in case of some actuator failures. The solvability condition of controllers could be equivalent to a feasibility problem of coupled linear matrix inequalities(LMIs). A numerical example demonstrated the feasibility and effectiveness of the proposed design.