Asynchronous Sampled-Data Controller Design for Switched Markov Jump Systems and Its Applications
针对切换转移率的马尔可夫跳变系统，设计了一种异步非周期采样数据控制器，利用T-S模糊模型将系统转化为模糊伊藤随机切换马尔可夫跳变系统，并通过新李雅普诺夫泛函给出均方指数稳定性和耗散性判据，最后在非线性隧道二极管电路和弹簧阻尼机械模型上验证了方法的有效性。
This article is dedicated to design asynchronous aperiodic sampled-data controller for a class of Markov jump systems with switching transition rate. The sampling controller corresponding switching transition rate matrix mode is not synchronized with the system corresponding switching transition rate matrix mode due to the possible switching of the transfer rate matrix in the sampling interval. With the help of T–S fuzzy models, the state-space representation of the system is turned into a fuzzy Itô stochastic switched Markov jump systems. By constructing novel Lyapunov functionals, mean square exponential stability criteria, and dissipativity criteria are presented. Furthermore, an asynchronous aperiodic sampled-data controller is designed for fuzzy Itô stochastic Markov jump systems. At last, by fuzzing the nonlinear tunnel diode circuit model and nonlinear mass-spring-damper mechanical model, the effectiveness and lower conservativeness of the proposed method are illustrated.