Preview repetitive control with equivalent input disturbance for continuous‐time linear systems

This paper investigates the problem of preview repetitive control with equivalent‐input‐disturbance for a class of continuous‐time linear systems in the presence of unknown external disturbances. First, an augmented delay system is constructed by using the nominal state equation with error system an...

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Bibliographic Details
Published in:IET control theory & applications 2022-01, Vol.16 (1), p.125-138
Main Authors: Lan, Yong‐Hong, Zhao, Jia‐Yu, She, Jin‐Hua
Format: Article
Language:English
Subjects:
Closed loop systems
Control system analysis and synthesis methods
Control systems
Control theory
Controllers
Discrete control systems
Energy consumption
Equations of state
Equivalence
Error analysis
Error compensation
Hypotheses
Linear control systems
Linear systems
Nonlinear control systems
Optimal control
Perturbation theory
Repetitive control
Repetitive controllers
Stability in control theory
State feedback
Tracking control
Tracking errors
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Summary:This paper investigates the problem of preview repetitive control with equivalent‐input‐disturbance for a class of continuous‐time linear systems in the presence of unknown external disturbances. First, an augmented delay system is constructed by using the nominal state equation with error system and the state equation of a modified repetitive controller, which is then transformed into a non‐delayed one by state transformation. Next, by using optimal control theory, a preview repetitive control law is obtained. It is composed of state feedback, tracking error compensation, output of modified repetitive controller and preview compensation. Furthermore, in order to achieve a good disturbance estimation and attenuation performance, by applying the results of the standard equivalent‐input‐disturbance theory, a preview repetitive control law with equivalent‐input‐disturbance is offered for the uncertain system with unknown external disturbance. Finally, the numerical simulation example is provided to illustrate the effectiveness of the proposed method.
ISSN:1751-8644
1751-8652
DOI:10.1049/cth2.12214