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

Jia-Yu Zhao, Zhao-Hong Wang, Jian- De Yan and Yong-Hong Lan

Mathematical Problems in Engineering, 2021, vol. 2021, 1-9

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:6986128

DOI: 10.1155/2021/6986128

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