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

Lookup NU author(s): Emeritus Professor Ian Postlethwaite

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Abstract

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.

Publication metadata

Author(s): Bandyopadhyay B, Deepak F, Postlethwaite I, Turner MC

Publication type: Article

Publication status: Published

Journal: International Journal of Control

Year: 2010

Volume: 83

Issue: 9

Pages: 1895-1906

Print publication date: 18/08/2010

Acceptance date: 10/06/2010

ISSN (print): 0020-7179

ISSN (electronic): 1366-5820

Publisher: Taylor and Francis

URL: https://doi.org/10.1080/00207179.2010.501384

DOI: 10.1080/00207179.2010.501384

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