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Non-predictive model-free control of nonlinear systems with unknown input time delay

Zhu, Quanmin; Zhang, Jianhua; Zhang, Weicun

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Authors

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

Jianhua Zhang

Weicun Zhang



Abstract

This study presents a general framework for the control of unknown dynamic systems with unknown input delay. A concise output feedback control system is structured with tuning stabilization/dynamic response by an output feedback low gain, removing steady state error against step reference with a feedforward gain. A series of stability analyses are presented for the designed control systems, (1) a gain/phase margin theorem is proposed for stability analysis by regulating the feedback gain, and (2) a stability theorem based on rational function approximation of the time delay is presented for dealing with the transcendental polynomial characteristic equations, which is equivalent to the analysis from the algebraic polynomial characteristic equation. Both approaches give coherent results for stability analysis by regulating the feedback gain. The approaches are applicable to nonlinear systems, which are linearizable in the neighborhood of the operating points. The low complexity of the controllers does not require hard analytical derivation/numerical calculations to produce an acceptable control performance for the considered systems. Several representative simulation case studies provide demonstrations of computational experiments against those analytically derived and guidance for potential applications.

Citation

Zhu, Q., Zhang, J., & Zhang, W. (2023). Non-predictive model-free control of nonlinear systems with unknown input time delay. Entropy, 25(7), Article 1076. https://doi.org/10.3390/e25071076

Journal Article Type Article
Acceptance Date Jul 5, 2023
Online Publication Date Jul 17, 2023
Publication Date Jul 17, 2023
Deposit Date Aug 27, 2023
Publicly Available Date Aug 29, 2023
Journal Entropy
Electronic ISSN 1099-4300
Publisher MDPI
Peer Reviewed Peer Reviewed
Volume 25
Issue 7
Article Number 1076
DOI https://doi.org/10.3390/e25071076
Keywords General Physics and Astronomy
Public URL https://uwe-repository.worktribe.com/output/10985797
Publisher URL https://www.mdpi.com/1099-4300/25/7/1076

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