Decentralized sliding mode control for uncertain discrete-time large-scale systems: An LMI approach

In this paper, a decentralized discrete-time sliding mode control is designed for the uncertain large-scale systems. Firstly, a decentralized sliding surface is developed for the large-scale discrete-time systems including uncertainty and exogenous disturbance. Then, a decentralized sliding mode controller is designed for the underlying systems. An LMI approach is deployed to develop a new framework to design the decentralized sliding mode controller which can stabilize the underlying uncertain large-scale system. The ultimate boundedness of the state and sliding function of the underlying closed-loop system is studied accordingly. Illustrative examples are presented to show the effectiveness of the proposed controllers.