Global time-delay dependent decentralised sliding mode control using only output information

In this paper, global decentralised stabilisation of a class of interconnected 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 delay 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 synthesized to drive the interconnected system to the sliding surface globally. Simulation results show the effectiveness of the proposed approach.