Decentralised Output Feedback Variable Structure Control for Large Scale Time Delay Systems

In this paper, an output feedback stabilisation problem is considered for a class of large scale interconnected time delay systems with uncertainties. The uncertainties appear in both isolated subsystems and interconnections. The bounds on the uncertainties are nonlinear and time delayed. It is not required that either the known interconnections or the uncertain interconnections are matched. A decentralised delay dependent static output feedback variable structure control is synthesised to stabilise the system globally uniformly asymptotically using a Lyapunov Razumikhin approach. A case study relating to a river pollution control problem is presented to illustrate the proposed approach.