Observer-Based Finite-Time Event-Triggered Control for Stochastic T-S Fuzzy Nonlinear Systems with Time-Varying Delay

Tong Wang, Feng Zhao, Huawei Liu, Xiangyong Chen

Abstract: This paper concentrates on the issues of input–output finite-time stability (IO-FTS) and finite-time boundedness (FTB) for stochastic Takagi–Sugeno fuzzy nonlinear systems. The novel sufficient criterion regarding IO-FTS and FTB is derived. A state observer is built, which can estimate state that are difficult to measure. Using the constructed state observer and an observer-based event-triggered protocol, the event-triggered controller is constructed. The observer gains and controller gains can be derived from the obtained sufficient conditions. Furthermore, the practicality and feasibility for the presented control scheme are proven using a numerical example and an example of an inverted pendulum on a trolley system.