Robust H ^∞ fuzzy control design for dithered nonlinear large-scale systems with multiple time delays

A novel approach is proposed in this study to stabilize nonlinear multiple time-delay (NMTD) large-scale systems via a composite of fuzzy controllers and dithers. Moreover, a delay-dependent stability criterion is derived from Lyapunov's direct method. According to this criterion and the decentralized control scheme, a set of model-based fuzzy controllers is synthesized to stabilize the NMTD large-scale system and the H ^∞ control performance is achieved at the same time. If the designed fuzzy controllers cannot stabilize the NMTD large-scale system, a set of dithers (as the auxiliaries of fuzzy controllers) is simultaneously introduced to stabilize the NMTD large-scale system. Finally, a numerical example with simulations is provided to illustrate the concepts discussed throughout this paper.