Sliding Mode Control of Time-Delay Systems with Delayed Nonlinear Uncertainties

This paper considers a class of time delay systems with delayed states and non-linear uncertainties using sliding mode techniques. In order to improve robustness, matched and mismatched disturbances are considered and assumed to be nonlinear functions of system states and delayed states. A sliding function is designed and a set of su?cient conditions is derived to guarantee the stability of the corresponding sliding motion by using Lyapunov-Razumikhin approach which allows large time varying delay with fast changing rate. A delay dependent sliding mode control is synthesized to drive the system to the sliding surface in ?nite time and maintain a sliding motion thereafter. E?ectiveness of the proposed method is tested via a case study on a continuous stirred tank reactor system.