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A general U-block model-based design procedure for nonlinear polynomial control systems

Zhu, Quanmin; Zhao, D. Y.; Zhang, Jianhua

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Authors

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Quan Zhu Quan.Zhu@uwe.ac.uk
Professor in Control Systems

D. Y. Zhao

Jianhua Zhang



Abstract

The proposition of U-model concept (in terms of providing concise and applicable solutions for complex problems) and a corresponding basic U-control design algorithm was originated in the first author's PhD thesis. The term of U-model appeared (not rigorously defined) for the first time in the first author's other journal paper, which established a framework for using linear polynomial control system design approaches to design nonlinear polynomial control systems (in brief, linear polynomial approaches → nonlinear polynomial plants). This paper represents the next milestone work - using linear state-space approaches to design nonlinear polynomial control systems (in brief, linear state-space approaches → nonlinear polynomial plants). The overall aim of the study is to establish a framework, defined as the U-block model, which provides a generic prototype for using linear state-space-based approaches to design the control systems with smooth nonlinear plants/processes described by polynomial models. For analysing the feasibility and effectiveness, sliding mode control design approach is selected as an exemplary case study. Numerical simulation studies provide a user-friendly step-by-step procedure for the readers/users with interest in their ad hoc applications. In formality, this is the first paper to present the U-model-oriented control system design in a formal way and to study the associated properties and theorems. The previous publications, in the main, have been algorithm-based studies and simulation demonstrations. In some sense, this paper can be treated as a landmark for the U-model-based research from intuitive/heuristic stage to rigour/formal/comprehensive studies.

Citation

Zhu, Q., Zhao, D. Y., & Zhang, J. (2016). A general U-block model-based design procedure for nonlinear polynomial control systems. International Journal of Systems Science, 47(14), 3465-3475. https://doi.org/10.1080/00207721.2015.1086930

Journal Article Type Article
Acceptance Date Aug 21, 2015
Online Publication Date Sep 18, 2015
Publication Date Sep 1, 2016
Deposit Date Sep 29, 2015
Publicly Available Date Mar 28, 2024
Journal International Journal of Systems Science
Print ISSN 0020-7721
Electronic ISSN 1464-5319
Publisher Taylor & Francis
Peer Reviewed Peer Reviewed
Volume 47
Issue 14
Pages 3465-3475
DOI https://doi.org/10.1080/00207721.2015.1086930
Keywords U-model, U-block model, U-state-space model, NARMAX model, U-model-based controller design, pole placement assignor, feasibility demonstration of sliding mode control
Public URL https://uwe-repository.worktribe.com/output/908005
Publisher URL http://dx.doi.org/10.1080/00207721.2015.1086930
Additional Information Additional Information : This is an Accepted Manuscript of an article published by Taylor & Francis in International Journal of Systems Science on 18 September 2015, available online: http://www.tandfonline.com/10.1080/00207721.2015.1086930

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