Relaxed stability and stabilisation conditions for continuous‐time Takagi–Sugeno fuzzy systems using multiple‐parameterised approach

Local H∞ Control for Continuous-Time T-S Fuzzy Systems via Generalized Non-Quadratic Lyapunov Functions

“…Ref. [17] further generalized previous HPNQDC and enlarged the stabilization region. Based on congruence transformation and Polya's theorem, inner and outer slack variables were introduced in [18][19][20][21] to obtain a less conservative conclusion.…”

“…If h only contains a part of state, for instance, x = [x 1 , x 2 , x 3 , x 4 ] T , h depends on x 1 , x 3 , then ε x = diag{1, 0, 1, 0}. For (17), one has…”

Less conservative output‐feedback tracking control design for polynomial fuzzy systems

“…The Lyapunov stability theory is widely used for the stability analysis of FMB control systems [4–9]. Using the Lyapunov stability theory, sufficient stability conditions for the FMB control systems can be obtained in terms of linear matrix inequalities (LMIs) [10], which can efficiently be solved using convex programing techniques.…”