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U-model-based double sliding mode control (UDSM-control) of nonlinear dynamic systems

Zhu, Quanmin; Li, Ruobing; Yan, Xinggang

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Authors

Quanmin Zhu

Ruobing Li

Xinggang Yan



Abstract

This study proposes a double sliding mode control-augmented U-control ((Formula presented.) -control) method for a class of single-input single-output nonlinear systems with internal uncertain parameters, model mismatching and external system noise/disturbance to improve robustness in nonlinear dynamic inversion in the U-control system design. For the configuration, the (Formula presented.) -control system takes up (1) a double sliding mode dynamic inverter to cancel nonlinearities and dynamics of the plant, (2) a linear invariant controller, the other dynamic inverter of the specified whole desired system performance, so that the whole system dynamic inversion is split into two designs in double feedback loops. For using the framework, this study analyses the associated properties on (1) global stability, (2) double sliding from a switching control driving the states to a sliding band and an equivalent control driving the states to a sliding line and (3) robustness against uncertainties/disturbances and a potential data-driven prototype. To validate the developed control system, it selects bench test examples for simulation studies using Matlab/Simulink, which demonstrates the (Formula presented.) -control in terms of accuracy, tracking, androbustness. The tests also present a step-by-step design procedure for potential applications.

Journal Article Type Article
Acceptance Date Oct 4, 2021
Online Publication Date Nov 12, 2021
Publication Date 2022
Deposit Date Nov 21, 2021
Publicly Available Date Nov 23, 2021
Journal International Journal of Systems Science
Print ISSN 0020-7721
Electronic ISSN 1464-5319
Publisher Taylor & Francis
Peer Reviewed Peer Reviewed
Volume 53
Issue 6
Pages 1153-1169
DOI https://doi.org/10.1080/00207721.2021.1991503
Keywords Computer Science Applications; Theoretical Computer Science; Control and Systems Engineering
Public URL https://uwe-repository.worktribe.com/output/8172570
Additional Information Peer Review Statement: The publishing and review policy for this title is described in its Aims & Scope.; Aim & Scope: http://www.tandfonline.com/action/journalInformation?show=aimsScope&journalCode=tsys20; Received: 2021-03-07; Accepted: 2021-10-04; Published: 2021-11-12

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