Memoryless Adaptive Decentralized Sliding Mode Control for Uncertain Large-Scale Systems With Time-Varying Delays

Abstract

The problem of robust stabilization for uncertain large-scale systems with time-varying delays is investigated through sliding mode control. A memoryless adaptive decentralized sliding mode controller (ADSMC) is developed. The proposed controller ensures the occurrence of the sliding manifold of the composite system. It is worthy of note that the proposed ADSMC does not involve any information of coupling states and is a local controller. Furthermore, it also does not include any delayed state or the upperbounds of uncertainties. Thus, such ADSMC is memoryless, and the limitation of knowing the upperbounds of uncertainties in advance is certainly released. A numerical example is given to verify the validity of the developed memoryless ADSMC.