一般不确定转移速率下Markov切换系统的弹性控制器

研究了一类随机时滞Markov切换系统的弹性控制器设计问题.该系统的转移速率是一般不确定的,比完全已知速率和不完全已知速率更具有一般性.针对此类Markov切换系统,充分考虑一般不确定转移速率矩阵中各元素之间的特性,通过构建一个较为新颖的模态依赖型Lyapunov-Krasovskii泛函,设计了弹性控制器以确保闭环系统随机稳定.并且,通过求解一组线性矩阵不等式得到控制器增益矩阵.最后,利用一个数值算例验证了所得结果的有效性.

Resilient Controller for Markov Switching Systems Under Generally Uncertain Transition Rate

The problem of resilient controller design for stochastic time-delayed Markov switching systems was investigated. Transition rate of the system is generally uncertain， which is more general than the completely known rate and the partly known rate. By full considering features between each element in the generally uncertain transition matrix， a mode-dependent Lyapunov-Krasovskii functional was established， and a resilient controller was designed to ensure that the closed-loop system was stochastically stable for the Markov switching systems. A set of linear matrix inequalities (LMIs) was solved to get controller gain matrix. Finally， a numerical example was given to demonstrate the effectiveness of the results.