Title: On exponential stabilisation for descriptor time-delay systems with nonlinear input via SMC

Authors: Shuqin Wang; Zhen Liu; Cunchen Gao

Addresses: School of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, Jinan, 250014, China ' School of Automation and Electrical Engineering, Qingdao University, Qingdao, 266071, China ' School of Mathematical Sciences, Ocean University of China, Qingdao, 266000, China

Abstract: The problem of exponential stabilisation for a class of uncertain descriptor time-delay systems (DTS) is investigated, where both nonlinear input and external disturbance are involved. A novel sliding mode control (SMC) scheme is developed to achieve a stable uncertain system. A delay-free linear sliding surface is first introduced for control design of the DTS. A new adaptive controller is designed to ensure the state trajectories globally to converge onto the sliding surface. Furthermore, the considered sliding mode dynamics (SMDs) are derived via equivalent control of the SMC, once the system is in the sliding mode, the proposed criterion can guarantee the SMDs to be exponentially admissible and passive. Finally, the effectiveness of the proposed scheme is verified via an example.

Keywords: descriptor time-delay systems; DTS; exponential stability; nonlinear input; sliding mode control; SMC.

DOI: 10.1504/IJMIC.2018.095834

International Journal of Modelling, Identification and Control, 2018 Vol.30 No.4, pp.310 - 321

Received: 29 Dec 2016
Accepted: 16 Nov 2017

Published online: 17 Oct 2018 *

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