A 2D system approach to the design of a robust modified repetitive-control system with a dynamic output-feedback controller

• Autorzy: Lan Zhou , Jinhua She , Shaowu Zhou
• Języki publikacji: EN

Abstrakty

EN

This paper is concerned with the problem of designing a robust modified repetitive-control system with a dynamic outputfeedback controller for a class of strictly proper plants. Employing the continuous lifting technique, a continuous-discrete two-dimensional (2D) model is built that accurately describes the features of repetitive control. The 2D control input contains the direct sum of the effects of control and learning, which allows us to adjust control and learning preferentially. The singular-value decomposition of the output matrix and Lyapunov stability theory are used to derive an asymptotic stability condition based on a Linear Matrix Inequality (LMI). Two tuning parameters in the LMI manipulate the preferential adjustment of control and learning. A numerical example illustrates the tuning procedure and demonstrates the effectiveness of the method.

Słowa kluczowe

EN

repetitive control; dynamic output-feedback; two-dimensional system; singular-value decomposition; linear matrix inequality

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2014
• Tom: 24
• Numer: 2
• Strony: 325-334

Daty

wydano

2014

otrzymano

2013-03-07

poprawiono

2013-08-12

poprawiono

2013-12-16

Twórcy

autor

Lan Zhou

• School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan 411201, China

autor

Jinhua She

• School of Computer Science, Tokyo University of Technology, Tokyo 192-0982, Japan

autor

Shaowu Zhou

• School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan 411201, China

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Identyfikatory

DOI

10.2478/amcs-2014-0024