Padé-Approximation-Based Preview Repetitive Control for Continuous-Time Linear Systems | Zendy

JiaYu Zhao | Zendy; Zhaohong Wang | Zendy; Jiande Yan | Zendy; YongHong Lan | Zendy

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Padé-Approximation-Based Preview Repetitive Control for Continuous-Time Linear Systems

Author(s) -

JiaYu Zhao,

Zhaohong Wang,

Jiande Yan,

YongHong Lan

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/6986128

Subject(s) - control theory (sociology) , compensation (psychology) , controller (irrigation) , repetitive control , representation (politics) , state space , approximation error , state (computer science) , computer science , mathematics , control (management) , scheme (mathematics) , control system , mathematical optimization , engineering , algorithm , law , mathematical analysis , artificial intelligence , psychology , statistics , electrical engineering , politics , psychoanalysis , political science , agronomy , biology

This paper concerns a Padé-approximation-based preview repetitive control (PRC) scheme for continuous-time linear systems. Firstly, the state space representation of the repetitive controller is transformed into a nondelayed one by Padé approximation. Then, an augmented dynamic system is constructed by using the nominal state equation with the error system and the state equation of a repetitive controller. Next, by using optimal control theory, a Padé-approximation-based PRC law is obtained. It consists of state feedback, error integral compensation, output integral of repetitive controller, and preview compensation. Finally, the effectiveness of the method is verified by a numerical simulation.

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