Network‐based robust exponential fuzzy control for uncertain systems

Abstract

This article studies the robust exponential stability and Takagi–Sugeno (T–S) fuzzy control synthesis for networked control systems via performance. The main aim of this paper is to design fuzzy controllers with less conservative results. Novel weighted integral inequalities (WIIs) are proposed based on Wirtinger's integral inequalities. The T–S fuzzy approach expresses nonlinear systems as linear submodels with IF–THEN rules for deriving the stability conditions. Then, by constructing a suitable Lyapunov–Krasovskii functional (LKF) and applying new WIIs, improved exponential stability and stabilization criteria are established in the form of linear matrix inequalities (LMIs). Three examples are provided to demonstrate the advantages and usefulness of the proposed novel method. Two are application‐oriented examples, such as the variable speed wind turbine (VSWT) system and nonlinear mass‐spring (NMS) system.