Stabilization of switching Takagi–Sugeno systems by switched Lyapunov function

Abstract

This paper presents sufficient conditions for the stabilization of switching T-S fuzzy discrete-time linear systems. These conditions are obtained when state feedback control laws are used . The obtained results are formulated in terms of LMIs. A numerical example illustrates the technique.

Exponential Stability of Uncertain T-S Fuzzy Switched Systems with Time Delay

“…where β1 and β2 are defined by (12) and (13). Computing the first time derivative of V (xt), we obtaiṅ…”

Robust fault‐tolerant control for discrete‐time switched systems with time delays

“…It is commonly agreed that there are two main problems in stability analysis and stabilization of switched systems: the first one looks for testable conditions that guarantee the asymptotic stability of a switching system under arbitrary switching rules, while the second is to determine a switching sequence that renders the switched system asymptotically stable (see the work of Liberzon and Morse, and the reference therein). In fact, switched systems have attracted considerable attention in recent years . Furthermore, they have many uses in different fields, such as power electronics, flight control systems, computer controlled systems, and so on.…”

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

“…In [18], the stability analysis and controller design is proposed employing common Lyapunov approach, which yields conservative results. Switched Lyapunov approach is employed for stabilization of switched fuzzy system in [19][20][21].…”