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

Author:

Zhao Jia-Yu1ORCID,Wang Zhao-Hong1ORCID,Yan Jian-De2ORCID,Lan Yong-Hong1ORCID

Affiliation:

1. School of Automation and Electronic Information, Xiangtan University, Xiangtan 411105, Hunan, China

2. School of Electrical and Information Engineering, Hunan Institute of Engineering, Xiangtan 411105, Hunan, China

Abstract

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.

Funder

Natural Science Foundation of Hunan Province

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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