Interval Type-2 Fuzzy Control for HMM-Based Multiagent Systems Via Dynamic Event-Triggered Scheme

Abstract

This paper investigates the interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy asynchronous controller design problem for nonlinear multiagent systems via a dynamic event-triggered scheme in the discrete-time context. Essentially different from most current literature, considering a realistic situation that the system mode and the anticipant controller mode are hardly to maintain synchronization at any time, the problem is characterized by means of hidden Markov model (HMM). The primary attention is focused on devising a feasible dynamic event-triggered strategy with novel threshold parameters to mitigate the communication burden efficiently. On this occasion, the information renewal of the controller is aperiodic. Furthermore, the nonlinear characteristics are effectually disposed through utilizing an unique IT2 T-S fuzzy model, which is with mismatched membership functions (MFs). As a result, the derived closed-loop fuzzy multiagent systems are accompanied by mismatched MFs and asynchronous modes. Whereafter, via solving the convex optimization problem, the desired controller gains are acquired. Eventually, the validity and practicability of the developed control scheme is illustrated by two examples.