Decentralized Event-Triggered $H_{\infty }$ Control for Affine Fuzzy Large-Scale Systems

This paper studies the decentralized event-triggered (ET) controller design problem of nonlinear large-scale systems modeled by affine fuzzy systems. Based on the information of membership functions, the considered fuzzy system is represented by a multiple-operating-regime-based model. To reduce the frequency of controller updates and save the limited network bandwidth, a novel ET transmission scheme is proposed. A decentralized piecewise ET controller is constructed using sampled states. Combining with some convex optimization techniques, convex decentralized ET controller design conditions are derived, in which the unmatched regions induced by the ET scheme are considered. In contrast to the existing results, the proposed control synthesis approach leads to less computational burden, and the assumption on bounds of membership functions has been removed. A numerical example is finally given to show the validity of the derived results.