Finite-time H ∞ control synthesis for nonlinear switched systems using T–S fuzzy model

Finite-Time Control for Nonlinear Systems with Time-Varying Delay and Exogenous Disturbance

“…According to the Schur complement lemma and Lemma 2 in [35], similar to the proof of Theorem 1, the conditions (30)-(38) can ensure the closed-loop T-S fuzzy time-delay system (5) finite-time bounded with respect to (c 1 , c 2 , T f , R, δ, h), and we can obtain the memory state feedback controller gains…”

Transient performance improvement of Takagi‐Sugeno fuzzy systems by modified non‐parallel distributed compensation controller

“…On the other hand, achieving the desired transient performance of the closed‐loop nonlinear system is an important issue [16–19]. Unfortunately, the transient performance issue of the closed‐loop TS fuzzy systems is not a focus of prior research, although a few methods to improve the transient of the TS fuzzy systems have been presented, including the guaranteed cost function control [20–22], the D‐stability concept [23,24], the reset control [25], and finite‐time stability [26–28]. In [23,24], the fuzzy controller is designed based on the D‐stability concept, in which the poles of the each of the closed‐loop linear subsystems are located in a pre‐chosen region.…”

“…Although the transient performance is improved, the control input is not continuous at the resetting instances and a sudden change in the control input may harm the system actuator. In [28], the finite‐time convergence of the closed‐loop system states to a neighborhood of the origin is assured. Thereby, the finite‐time stability analysis of [28] cannot guarantee finite‐time asymptotic stability to improve explicitly the convergence speed of the response.…”

“…In [28], the finite‐time convergence of the closed‐loop system states to a neighborhood of the origin is assured. Thereby, the finite‐time stability analysis of [28] cannot guarantee finite‐time asymptotic stability to improve explicitly the convergence speed of the response. To sum up, the transient performance enhancement of closed‐loop TS fuzzy‐based controllers has not been widely studied.…”

Robust simultaneous finite‐time control and fault detection for uncertain linear switched systems with time‐varying delay

“…Authors [14] present a state‐feedback controller for finite‐time control of switched stochastic delayed system via average dwell time (ADT) approach. By considering external disturbances, the finite‐time controllers design is proposed in [17, 18]. In [19], the problems of finite‐time stabilisation for delay switched systems are investigated, and then the results are extended to finite‐time bounded.…”