Quan Zhu Quan.Zhu@uwe.ac.uk
Professor in Control Systems
A general U-block model-based design procedure for nonlinear polynomial control systems
Zhu, Quanmin; Zhao, D. Y.; Zhang, Jianhua
Authors
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 |
Files
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