7. Delay Independent Output Feedback Control

In Chap. 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.