Stabilisation of time delay systems with nonlinear disturbances using sliding mode control
by Adrian E. Onyeka; Xing-Gang Yan; Zehui Mao; Jianqiu Mu
International Journal of Modelling, Identification and Control (IJMIC), Vol. 31, No. 3, 2019

Abstract: This paper focuses on a class of control systems with delayed states and nonlinear disturbances using sliding mode techniques. Both matched and mismatched uncertainties are considered which are assumed to be bounded by known nonlinear functions. The bounds are used in the control design and analysis to reduce conservatism. A sliding function is designed and a set of sufficient conditions is derived to guarantee the asymptotic stability of the corresponding sliding motion by using the Lyapunov-Razumikhin approach which allows large time-varying delay with fast changing rate. A delay dependent sliding mode control is synthesised to drive the system to the sliding surface in finite time and maintain a sliding motion thereafter. Effectiveness of the proposed method is demonstrated via a case study on a continuous stirred tank reactor system.

Online publication date: Tue, 02-Apr-2019

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