Title :
Stabilization of interval type-2 T-S fuzzy control systems with time varying delay
Author :
Yang Feisheng ; Guan Shouping
Author_Institution :
Coll. of Inf. Sci. & Eng., Northeastern Univ., Shenyang, China
Abstract :
This paper studies the delay-dependent stabilization problem for interval type-2 fuzzy controller design of continuous-time interval type-2 Takagi-Sugeno (T-S) systems with time-varying delay. A delayed interval type-2 T-S fuzzy model is used to represent the state-space equation for a class of continuous nonlinear systems with time delay subject to parameter uncertainties. Then, a stable interval type-2 T-S fuzzy controller is designed, which guarantees asymptotic stability for the closed-loop interval type-2 fuzzy system with time-varying delay. A delay dependent sufficient condition for the existence of such a stabilizing controller is established in terms of the linear matrix inequality (LMI) by employing a novel common Lyapunov-Krasovskii (L-K) functional approach and a newly proposed tighter bounding technique based on the reciprocally convex combination idea. It provides a first attempt to tackle with the stabilization problem of type-2 fuzzy systems with time-varying delay.
Keywords :
Lyapunov methods; asymptotic stability; closed loop systems; continuous time systems; control system synthesis; delay systems; fuzzy control; linear matrix inequalities; nonlinear control systems; state-space methods; time-varying systems; L-K functional approach; LMI; Lyapunov-Krasovskii functional approach; T-S systems; asymptotic stability; closed-loop interval type-2 fuzzy system; continuous nonlinear systems; continuous-time interval type-2 Takagi-Sugeno control systems; delay dependent sufficient condition; delay-dependent stabilization problem; delayed interval type-2 T-S fuzzy model; interval type-2 fuzzy controller stability design; linear matrix inequality; parameter uncertainties; state-space equation; tighter bounding technique; time varying delay; Delays; Fuzzy control; Fuzzy logic; Fuzzy sets; Stability analysis; Time-varying systems; Interval Type 2 fuzzy system; Reciprocal convex combination; T-S model; Time varying delay;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an