Robust reliable feedback controller design against actuator faults for linear parameter-varying systems in finite-frequency domain

• Published in: IET control theory & applications 2015-06, Vol.9 (10), p.1595-1607
• Main Authors: Chen, Jianliang, Zhang, Weidong, Cao, Yong-Yan
• Format: Article
• Language: English
• Subjects: actuator faults; Actuators; closed loop systems; closed‐loop system; concave programming; control system synthesis; Control systems; Control theory; Controllers; Design engineering; fault diagnosis; Faults; faults free; Feedback; finite‐frequency domain; finite‐frequency robust feedback controller design problem; Gain; generalised Kalman‐Yakubovich‐Popov lemma; iterative linear matrix inequality algorithm; iterative methods; linear matrix inequalities; linear parameter varying systems; nonconvexity conditions; output‐feedback gain; projection lemma; reliability theory; robust control; robust reliable feedback controller design; state feedback; state feedback gain; state‐feedback controller
• ISSN: 1751-8644; 1751-8652; 1751-8652
• DOI: 10.1049/iet-cta.2014.1308

This study addresses the finite-frequency robust feedback controller design problem against actuator faults for linear parameter-varying systems. First, a general model of actuator faults is presented. Then, sufficient conditions for the existence of the state-feedback controller are obtained by using generalised Kalman–Yakubovich–Popov lemma and projection lemma, which guarantee that the closed-loop system satisfies robustness performance in a finite-frequency domain and is stable for both faults free and actuator faults. In addition, by introducing a state feedback gain, the non-convexity conditions of the output-feedback gain are derived. An iterative linear matrix inequality algorithm is proposed in this study to get the solution. The performances of the proposed reliable controller schemes are illustrated by two examples.