Extended dissipative analysis of affine transformed IT2 fuzzy control systems with time delay and disturbances

Abstract

This paper focuses on the problem of stability and stabilization for interval type-2 (IT2) fuzzy systems with time-varying delays and external disturbances using the extended dissipative theory. In particular, our approach is to develop a new type of IT2 fuzzy controller that uses affine parameter-based weighting variables. Based on appropriate augmented Lyapunov-Krasovskii functionals and recently developed integral inequalities, some less conservative sufficient conditions are derived in the existence of the zeros equations. Specifically, the required conditions for co-design of affine matched membership functions-based IT2 fuzzy control law are provided such that the generalized performance index, the L2−L∞, H∞, passivity and (Q,S,R)−γ-dissipative problems are investigated. Finally, four examples are represented to verify the advantages of the developed method by comparing it with some existing results.