Title: Sliding mode control of uncertain switch systems with time-delay and disturbance

Authors: Ran Zhen; Jinyong Chen; Xueli Wu; Quanmin Zhu; Hassan Nouri

Addresses: Department of Electrical Engineering, Hebei University of Science and Technology, 26 Yuxiang Street, Shijiazhuang, 050018, China; Engineering Design and Mathematics, University of the West of England, Frenchay Campus, Coldharbour, Lane Bristol, BS16 1QY, UK ' Department of Electrical Engineering, Hebei University of Science and Technology, 26 Yuxiang Street, Shijiazhuang, 050018, China ' Department of Electrical Engineering, Hebei University of Science and Technology, 26 Yuxiang Street, Shijiazhuang, 050018, China; Institute of Electrical Engineering, Yanshan University, 438 Hebei West Street, Qinhuangdao, 06604, China ' Department of Engineering Design and Mathematics, University of the West of England, Frenchay Campus, Coldharbour, Lane Bristol, BS16 1QY, UK ' Engineering Design and Mathematics, University of the West of England, Frenchay Campus, Coldharbour, Lane Bristol, BS16 1QY, UK

Abstract: This paper considers the design of the sliding mode control (SMC) for a class of the uncertain switch systems with the time delay and the external disturbance. Based on Lyapunov function, a sufficient condition for the control of such uncertain switch systems is derived by means of sliding mode control and the appropriate switching law. It is shown that the designed sliding mode controller can guarantee the state of the switched systems to converge to the single sliding surface and remained on it thereafter. Numerical simulation results are given to illustrate the effectiveness of the proposed approach and the application procedure for potential readers/users.

Keywords: uncertain switch systems; time delay; external disturbance; sliding mode control; SMC; Lyapunov method; uncertainty; controller design; numerical simulation.

DOI: 10.1504/IJMIC.2014.062023

International Journal of Modelling, Identification and Control, 2014 Vol.21 No.4, pp.362 - 369

Available online: 29 May 2014 *

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