Double Asynchronous Switching Control for Takagi–Sugeno Fuzzy Markov Jump Systems via Adaptive Event-Triggered Mechanism
针对网络环境下控制器与被控对象前提变量和模式不匹配的问题，提出一种新的双重异步切换控制器，并采用切换自适应事件触发机制降低通信能耗，同时通过构造新的Lyapunov-Krasovskii泛函减少保守性。
This article addresses the issue of adaptive event-triggered <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${H_{\infty} }$</tex-math> </inline-formula> control for Markov jump systems based on the Takagi–Sugeno (T–S) fuzzy model. First, a new double asynchronous switching controller is presented to deal with the problem of the mismatch of premise variables and modes between the controller and the plant, which is widespread in real network environment. To further reduce the power consumption of communication, a switching adaptive event-triggered mechanism is adopted to relieve the network transmission pressure while ensuring the control effect. In addition, a new Lyapunov–Krasovskii functional (LKF) is constructed to reduce conservatism by introducing the membership functions (MFs) and time-varying delays information. Meanwhile, the invariant set is estimated to ensure the stability of the system. And the disturbance rejection ability is measured by the optimal <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${H_{\infty} }$</tex-math> </inline-formula> performance index. Finally, two examples are presented to demonstrate the effectiveness of the proposed approach.