Robust H∞ proportional-integral observer-based controller for uncertain LPV system

The main contribution of this paper is a robust integrated design of H∞ proportional - integral (PI) observer and state-feedback controller for uncertain linear parameter-varying (LPV) system. In this design, both fault estimation and robust feedback stabilization are developed. Moreover, since the...

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Bibliographic Details
Published in:Journal of the Franklin Institute 2020-03, Vol.357 (4), p.2099-2130
Main Authors: Do, Manh-Hung, Koenig, Damien, Theilliol, Didier
Format: Article
Language:English
Subjects:
Closed loop systems
Control systems
Controllers
Feedback control
Feedback control systems
H-infinity control
Linear matrix inequalities
Loop transfer recovery
Mathematical analysis
Parameter uncertainty
Proportional integral
Robust control
Suspension systems
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Summary:The main contribution of this paper is a robust integrated design of H∞ proportional - integral (PI) observer and state-feedback controller for uncertain linear parameter-varying (LPV) system. In this design, both fault estimation and robust feedback stabilization are developed. Moreover, since the state-feedback controller is derived from the PI observer, the loop transfer recovery (LTR) properties can be designed to maximize the closed-loop performance. Meanwhile, the PI observer and controller gains are simultaneously obtained from a linear matrix inequality (LMI), which is inferred from estimation errors, Young equality and majorization lemma implementation. Finally, its application to a vehicle suspension platform is presented to highlight the performances of the developed method.
ISSN:0016-0032
1879-2693
0016-0032
DOI:10.1016/j.jfranklin.2019.11.053