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

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 synthes...

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Published inIET control theory & applications Vol. 12; no. 11; pp. 1601 - 1610
Main Authors Han, Kezhen, Feng, Jian, Li, Yueyang, Li, Shi
Format Journal Article
LanguageEnglish
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
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Abstract 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.
AbstractList 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∞ 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.
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.
Author Li, Shi
Feng, Jian
Han, Kezhen
Li, Yueyang
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2021 The Authors. IET Control Theory & Applications published by John Wiley & Sons, Ltd. on behalf of The Institution of Engineering and Technology
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Issue 11
Keywords 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
Language English
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Snippet In this study, an integrated fault tolerant preview tracking control framework is proposed based on reduced-order simultaneous state and fault estimation,...
In this study, an integrated fault tolerant preview tracking control framework is proposed based on reduced‐order simultaneous state and fault estimation,...
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SubjectTerms 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
Title Reduced-order simultaneous state and fault estimator based fault tolerant preview control for discrete-time linear time-invariant systems
URI http://digital-library.theiet.org/content/journals/10.1049/iet-cta.2017.1280
https://onlinelibrary.wiley.com/doi/abs/10.1049%2Fiet-cta.2017.1280
Volume 12
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