Robust Dynamic Output Feedback H[infinity] Control for Uncertain Switched Singular Systems

• Autorzy: Fu Z. , Liu L. , Gao A. , Pu J.

Warianty tytułu

PL

Odporny układ sterowania typu H[nieskończoność] dla systemu z niepewnymi przełączeniami

• Języki publikacji: EN

Abstrakty

EN

This paper considers the problems of dynamic output feedback H[infinity] control for uncertain switched singular system with parametric uncertainties. A switching rule and a switched dynamic output feedback controller are designed to guarantee that the closed-loop system is asymptotically stable with a prescribed H[infinity] disturbance attenuation level [gamma]. Such sufficient conditions are derived via a series of strict linear matrix inequalities (LMIs). Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

PL

W artykule analizuje się problem dynamiki system sterowania H[nieskończoność] dla systemu pojedynczego z niepewnymi przełączeniami. Badano zasady przełączania i dynamikę przełączania gwarantującą stabilną prace systemu. Przedstawiono przykład numeryczny ilustrujący skuteczność proponowanej metody.

Słowa kluczowe

EN

switched systems; singular systems; robust H[infinity] control; dynamic output feedback; linear matrix inequalities; LMIs

PL

odporny system sterowania; sprzężenie zwrotne; stabilność

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2012
• Tom: R. 88, nr 3b
• Strony: 34--38
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Fu Z.

autor

Liu L.

autor

Gao A.

autor

Pu J.

• Electronic Information Engineering College, Henan University of Science and Technology, Luoyang, 471003, P.R.China,

Bibliografia

• [1] Sun Z., Ge S. S., Switched Linear Systems, London, England: Springer, 2005.
• [2] Campbell S. L., Rose N. J., A second-order singular linear system arising in electric power systems analysis, Int. J. Systems Sci. 13(1), 1982.
• [3] Dai L., Singular Control Systems, New York, USA: Springer, 1989.
• [4] Lewis F. L., A survey of linear singular systems, Circuits Systems Signal Process, vol. 5, pp. 3-36, 1986.
• [5] Liberzon D., Morse A. S., Basic Problems in Stability and Design of Switched Systems, IEEE Control Systems Magazine, vol. 19, pp. 59-70,1999.
• [6] Shorten R. N., Narendra K. S., Mason O, A Result on Common Quadratic Lyapunov Functions, IEEE Trans on Automatic Control, vol. 48, pp. 618-621, 2003.
• [7] Sun Z., Ge S. S., Analysis and synthesis of switched linear control systems, Automatica, vol. 41, pp. 181-195, 2005.
• [8] Narendra K. S., Balakrishnan J., A common Lyapunov function for stable LTI systems with commuting A-matrices, IEEE Trans. on Automatic Control, vol. 39, pp. 2469-2471, 1994.
• [9] Liberzon D., Hespanha J. P., Morse A. S., Stability of switched systems: a Lie-algebraic condition, Systems & Control Letters, vol. 37, pp. 117-122, 1999.
• [10] Hespanha J. P., Morse A. S., Stability of switched systems with average dwell-time, Proc. of the 38th IEEE Conference on Decision and Control, Phoenix, USA, pp. 2655-2660, 1999.
• [11] Wicks M. A., Peleties P., DeCarlo R. A., Switched contro ller design for the quadratic stabilization of a pair of unstable linear systems, European Journal of Control, vol. 4, pp. 140-147, 1998.
• [12] Zhai G., Xu X., Imae J., Kobayashi T., Qualitative Analysis of Switched Discrete-Time Descriptor Systems, International Journal of Control, Automation, and Systems, vol. 7, pp. 512-519, 2009.
• [13] Xie G. M., Wang L., Stability and Stabilization of Switched Descriptor Systems under Arbitrary Switching , IEE International Conference on Systems, Man and Cybernetics, The Hague, Netherlands, vol. 1, pp. 779-783, 2004.
• [14] Gahinet P., Apkarian P., An LMI-based Parametrization of All Controllers with Applications, Proc. of the 32nd Conference on Decision and Control, San Antonlo, Texas, vol.1, pp. 656-661, 1993.
• [15] Gahinet P., Apkarian P., A Linear Matrix Inequality Approach to H∞Control, Int. J. of Robust and Nonlinear Control, vol. 4, pp. 421-448, 1994.