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

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Zhou L., She J., Zhou S.

International Journal of Applied Mathematics and Computer Science

2014

tom 24

nr 2

325-334

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.

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 She J.

1 Zhou L.

1 Zhou S.

1 2014

Wyniki wyszukiwania

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