Reduced-order simultaneous state and fault estimator based fault tolerant preview control for discrete-time linear time-invariant systems

• Published in: IET control theory & applications Vol. 12; no. 11; pp. 1601 - 1610
• Main Authors: Han, Kezhen, Feng, Jian, Li, Yueyang, Li, Shi
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 24.07.2018
• Subjects: augmentation modelling technique; closed loop systems; control system synthesis; discrete time systems; discrete‐time linear time‐invariant systems; equivalent augmented state‐feedback control design problem; equivalent model reconstruction; fault estimator based fault tolerant preview control; fault signal compensation; fault tolerant control; H∞ optimisation; H∞ optimisation level; integral operation; integrated fault tolerant preview tracking control framework; linear quadratic control; linear quadratic preview control design problem; linear systems; output equation reduction requirement; parametric solution optimisation; preview action; reduced order systems; reduced‐order design method; reduced‐order simultaneous state estimator; Research Article; robust control; robust preview tracking control policy; robust tracking performance; state estimation; state feedback; state‐feedback integration; output equation reduction requirement; fault signal compensation; parametric solution optimisation; discrete-time linear time-invariant systems; state-feedback integration; reduced-order design method; integral operation; equivalent model reconstruction; reduced order systems; robust control; linear quadratic preview control design problem; augmentation modelling technique; integrated fault tolerant preview tracking control framework; robust preview tracking control policy; reduced-order simultaneous state estimator; discrete time systems; fault estimator based fault tolerant preview control; control system synthesis; linear systems; preview action; closed loop systems; robust tracking performance; H∞ optimisation level; state estimation; state feedback; H∞ optimisation; closed-loop systems; equivalent augmented state-feedback control design problem; fault tolerant control; linear quadratic control
• ISSN: 1751-8644; 1751-8652; 1751-8652
• DOI: 10.1049/iet-cta.2017.1280

In this study, an integrated fault tolerant preview tracking control framework is proposed based on reduced-order simultaneous state and fault estimation, robust preview control and fault signal compensation. In general, this work consists of three key design parts. Firstly, the analysis and synthesis conditions of a novel reduced-order simultaneous state and fault estimator are given based on the equivalent model reconstruction and optimisation of the parametric solution. Note that such a reduced-order design method can avoid traditional output equation reduction requirement, and has a wider application scope. Secondly, the robust preview tracking control policy is constructed by integrating state-feedback, preview action, and integral operation. Relying on augmentation modelling technique, a linear quadratic preview control design problem is transformed into an equivalent augmented state-feedback control design problem. Thirdly, the fault compensation is achieved by using estimated fault to accommodate fault influence. These involved designs are performed at the $H_\infty $H∞ optimisation level, and thus guarantee the robust tracking performance of closed-loop systems. The effectiveness of the above conclusions is finally verified via two case studies.