A nonlinear sliding surface to improve performance of a discrete-time input-delay system

Bandyopadhyay, Bijnan, Deepak, Fulwani, Postlethwaite, Ian and Turner, Matthew (2010) A nonlinear sliding surface to improve performance of a discrete-time input-delay system. International Journal of Control, 83 (9). pp. 1895-1906. ISSN 0020-7179

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Official URL: http://dx.doi.org/10.1080/00207179.2010.501384


A sliding mode controller is proposed for an uncertain input-delay system to enhance performance. A nonlinear sliding surface is proposed to achieve better transient response for general uncertain discrete SISO linear systems with input delay. Both matched and unmatched perturbations are considered and ultimate boundedness of motion is proved. The step tracking problem is analysed. The proposed surface increases the damping ratio of the transformed system (delay free) as the output moves nearer to the setpoint. To simplify the surface design, a linear matrix inequality based tuning procedure is proposed. The control law is designed based on an equivalent control approach which guarantees one step reaching. The scheme is able to achieve low overshoot and low settling time simultaneously which is not possible with a linear sliding surface. Simulation results verify the effectiveness of the proposed nonlinear surface over different linear surfaces.

Item Type: Article
Uncontrolled Keywords: input-delay system, discrete-time sliding mode control, nonlinear sliding surface
Subjects: H100 General Engineering
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Ellen Cole
Date Deposited: 13 Dec 2012 14:58
Last Modified: 13 Oct 2019 00:30
URI: http://nrl.northumbria.ac.uk/id/eprint/10583

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