Title: Stabilisation of time delay systems with nonlinear disturbances using sliding mode control

Authors: Adrian E. Onyeka; Xing-Gang Yan; Zehui Mao; Jianqiu Mu

Addresses: School of Engineering and Digital Arts, University of Kent, Canterbury, CT2 7NT, UK ' School of Engineering and Digital Arts, University of Kent, Canterbury, CT2 7NT, UK ' College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China ' B-535 Zhongchuang Space, Huilongguan East Street, Changping, Beijing, 102200, China

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.

Keywords: stabilisation; sliding mode control; time delay; Lyapunov-Razumikhin approach; uncertain systems.

DOI: 10.1504/IJMIC.2019.098790

International Journal of Modelling, Identification and Control, 2019 Vol.31 No.3, pp.259 - 267

Received: 30 Dec 2017
Accepted: 11 May 2018
Published online: 02 Apr 2019 *

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