Global decentralised static output feedback sliding-mode control for interconnected time-delay systems

Global decentralised stabilisation of a class of interconnected time-varying delay systems is considered, where both known and uncertain interconnections involve time delay. Matched and mismatched interconnections are considered separately to reduce the conservatism. A composite sliding surface is designed and the stability of the associated sliding motion, which is governed by a time delayed interconnected system, is analysed based on the Razumikhin-Lyapunov approach. A decentralised static output feedback variable structure control which is dependent on time delay is synthesised to drive the interconnected system to the sliding surface globally. Simulation results show the effectiveness of the proposed approach