Fuzzy-Model-Based Piecewise H∞ Decentralized Tracking Control of Discrete-Time Networked Nonlinear Interconnected Systems

Abstract

Abstract This paper investigates the problem of H ∞ decentralized tracking control of discrete-time nonlinear interconnected systems under unreliable communication links via Takagi-Sugeno (T-S) fuzzy model. The T-S fuzzy model consists of N interconnected discrete-time Takagi-Sugeno (T-S) fuzzy subsystems, the decentralized control scheme is adopted and the communication links between the subsystem and controller are assumed to be imperfect, that is, data packet dropouts occur intermittently, which is often the case in a network environment. The data loss is modelled as a random process which obeys a Bernoulli distribution. A piecewise state feedback decentralized controller is designed to stabilize the networked interconnected fuzzy system in the sense of mean square and also achieve a prescribed H ∞ model reference tracking performance based on a piecewise Lyapunov function. Moreover, the required H ∞ controllers can be designed by solving a set of linear matrix inequalities (LMIs). A simulation example is given to show the effectiveness of this approach.