Decentralized control for a class of interconnected delayed systems with nonlinear disturbance and control input saturation

Abstract

AbstractThis article investigates the problems of the exponential stability and the decentralized control for a class of interconnected delayed systems subject to nonlinear disturbance and control input saturation. Firstly, a model of the interconnected system with time delays, nonlinear disturbance and input saturation is established. Secondly, based on stability theory, Newton–Leibnitz formula and relevant inequality technique, some useful lemmas are derived, and stability analysis of the interconnected system is presented. Meanwhile, a decentralized controller with two control laws is designed. The obtained stability results can also be used for physical systems such as multi‐area interconnected power systems and chaotic systems. At last, the effectiveness of the stability results and the proposed control method is demonstrated by a few examples.