Robust aperiodic-disturbance rejection in an uncertain modified repetitive-control system

• Autorzy: Zhou L. , She J. , Li C. , Pan C.

Identyfikatory

DOI

10.1515/amcs-2016-0020

• Języki publikacji: EN

Abstrakty

EN

This paper concerns the problem of designing an EID-based robust output-feedback modified repetitive-control system (ROFMRCS) that provides satisfactory aperiodic-disturbance rejection performance for a class of plants with time-varying structured uncertainties. An equivalent-input-disturbance (EID) estimator is added to the ROFMRCS that estimates the influences of all types of disturbances and compensates them. A continuous-discrete two-dimensional model is built to describe the EID-based ROFMRCS that accurately presents the features of repetitive control, thereby enabling the control and learning actions to be preferentially adjusted. A robust stability condition for the closed-loop system is given in terms of a linear matrix inequality. It yields the parameters of the repetitive controller, the output-feedback controller, and the EID-estimator. Finally, a numerical example demonstrates the validity of the method.

Słowa kluczowe

EN

repetitive control; equivalent input disturbance; two dimensional system; singular value decomposition; linear matrix inequality

PL

sterowanie powtarzalne; układ dwuwymiarowy; rozkład na wartości szczególne; liniowa nierówność macierzowa

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2016
• Tom: Vol. 26, no. 2
• Strony: 285--295
• Opis fizyczny: Bibliogr. 22 poz., rys., tab., wykr.

Twórcy

autor

Zhou L.

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

autor

She J.

• School of Automation, China University of Geosciences, Wuhan, Hubei 430074, China; School of Engineering, Tokyo University of Technology, Tokyo 192-0982, Japan

autor

Li C.

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

autor

Pan C.

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

Bibliografia

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• [14] She, J., Xin, X. and Pan, P. (2011). Equivalent-input-disturbance approach—analysis and application to disturbance rejection in dual-stage feed drive control system, IEEE Transactions on Mechatronics 16(2): 330–340.
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• [19] Zhou, L., She, J. and Wu, M. (2012). Design of a robust modified repetitive-control system for a periodic plant, ASME Journal of Dynamic Systems, Measurement, and Control 134(1): 011023–1–7.
• [20] Zhou, L., She, J., Wu, M. and He, Y. (2013). Design of a robust observer-based modified repetitive-control system, ASME Journal of Dynamic Systems, Measurement, and Control 52(3): 375–382.
• [21] Zhou, L., She, J., Wu, M., He, Y. and Zhou, S.W. (2014a). Estimation and rejection of aperiodic disturbance in a modified repetitive-control system, IET Control Theory and Applications 8(10): 882–889.
• [22] Zhou, L., She, J. and Zhou, S. (2014b). A 2D system approach to the design of a robust modified repetitive-control system with dynamic output-feedback controller, International Journal of Applied Mathematics and Computer Science 24(2): 325–334, DOI: 10.2478/amcs-2014-0024.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.