Delay Independent Output Feedback Control

In Chapter 7, complex control systems with time delay are considered. It is not required that the time delay is known. A Lyapunov Razumikhin approach is used to deal with the time delay throughout this chapter. All the developed results consider time varying delay and there is no limitation on the rate of change of time delay. A local stabilisation problem is considered for affine nonlinear control systems with uncertainties using a Lyapunov based approach and sliding mode control techniques. It is not assumed that the nominal system is either linearisable or partially linearisable. Stabilisation of a class of large scale systems with nonlinear interconnections is also considered. A decentralised static output feedback variable structure control is synthesised and a set of conditions is developed to guarantee that the considered large scale interconnected systems are stabilised uniformly asymptotically. Examples are provided to demonstrate the theoretical results.