Robust stabilization of fuzzy control for nonlinear multiple time-delay interconnected systems via neural-network-based approach

Abstract

The stabilization problem is considered in this study for a nonlinear multiple time-delay large-scale (NMTDLS) system. First, the NN model is employed to approximate each subsystem. Then, an LDI state-space representation is established for the dynamics of each NN model. According to the LDI state-space representation, a robustness design of fuzzy control is proposed to overcome the effect of modeling errors between subsystems and NN models. Next, in terms of Lyapunov\'s direct method, a delay-dependent stability criterion is derived to guarantee the asymptotic stability of NMTDLS systems. Subsequently, a set of fuzzy controllers is synthesized to stabilize the NMTDLS system.