Event-triggered H\infty controller design for networked Takagi-Sugeno systems with uncertainties and time delay

Abstract

This paper considers an event-triggered communication scheme for a class of networked Takagi-Sugeno (T-S) fuzzy systems with uncertainties and time delay. By the parallel distributed compensation fuzzy control rules, a new type of closed-loop nonlinear networked control systems (NCSs) with an interval time delay, uncertainties and event-triggered communication strategy is modeled as a class of networked T-S fuzzy systems. In order to deal with the integral items and convert the coupling time-varying matrix inequalities into a class of decoupling matrix inequalities, a new delay-dependent stabilization criterion is presented firstly. Secondly, some novel criteria for the asymptotic stability analysis and control synthesis of event-triggered networked T-S fuzzy systems with time delay and uncertainties are established in terms of linear matrix inequalities (LMIs). Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

A novel set‐membership control strategy for discrete‐time linear time‐varying systems

“…As a result, robust control, as a typical control method which adopts an norm‐bounded noise model, has been fully developed and become one of the most active subfields in the control theory, see, e.g. [4–7]. The principle of a robust control method is to minimise the worst‐case attenuation based on a deterministic disturbance model consisting of norm‐bounded power signals.…”