离散Markovian跳变系统概率转移矩阵部分未知的可靠控制  

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

作　　者：王建华[1] 张庆灵[1] 逄博[1] 

机构地区：[1]东北大学理学院,辽宁沈阳110819

出　　处：《东北大学学报（自然科学版）》2015年第4期457-460,478,共5页Journal of Northeastern University(Natural Science)

基　　金：国家自然科学基金资助项目(61273008;61304054);辽宁省教育厅科学技术研究项目(L2013051)

摘　　要：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.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.

关 键 词：Markovian跳变系统 可靠控制 执行器故障 概率转移矩阵部分未知 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]