Dynamic event-triggered extended dissipative scaled consensus control for nonlinear multi-agent systems

Abstract

This paper focuses on the scaled consensus problem of interval type-2 Takagi-Sugeno (IT-2 T-S) fuzzy multi-agent systems with external disturbance under directed graphs on the basis of dynamic event-triggered mechanisms (DETMs). An extended dissipative performance (EDP) index is introduced in the paper to cope with system disturbances. The $H_{\infty }$, $L_2-L_{\infty }$, passivity and $(Q,S,R)-\alpha$-dissipative performances of the system can also be satisfied by tuning the weighting matrices. In this paper, a novel sampling-based DETM with flexible parameters and dynamic internal variable is proposed for the first time. It effectively reduces unnecessary continuous monitoring and improves the utilization of network resources. Then, an output feedback-based fuzzy control protocol is designed for the situation where the state information is not completely known. Furthermore, a sufficient condition for MAS to achieve scale consensus while satisfying the EDP is obtained using Lyapunov stability theory and linear matrix inequality methods. Finally, the effectiveness and applicability of the proposed method are verified by an numerical simulation and a mass-spring-damper system.