Hybrid stabilization of discrete-time LTI systems with two quantized signals

• Autorzy: Zhai G. , Matsumoto Y. , Chen X. , Imae J. , Kobayashi T.
• Języki publikacji: EN

Abstrakty

EN

We consider stabilizing a discrete-time LTI (linear time-invariant) system via state feedback where both the quantized state and control input signals are involved. The system under consideration is stabilizable and stabilizing state feedback has been designed without considering quantization, but the system’s stability is not guaranteed due to the quantization effect. For this reason, we propose a hybrid quantized state feedback strategy asymptotically stabilizing the system, where the values of the quantizer parameters are updated at discrete time instants. We also extend the result to the case of static output feedback.

Słowa kluczowe

EN

discrete-time LTI system; hybrid stabilization strategy; quantizer; state feedback; output feedback

PL

system czasu dyskretnego; strategia stabilizacji; kwantyzator; sprzężenie zwrotne

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2005
• Tom: Vol. 15, no 4
• Strony: 509--516
• Opis fizyczny: Bibliogr. 8 poz., rys., wykr.

Twórcy

autor

Zhai G.

• Department of Mechanical Engineering, Osaka Prefecture University Sakai, Osaka 599–8531, Japan

autor

Matsumoto Y.

• Department of Opto-Mechatronics, Wakayama University Sakaedani, Wakayama 640–8510, Japan

autor

Chen X.

• Department of Electronic and Information Systems, Shibaura Institute of Technology, Saitama 337–8570, Japan

autor

Imae J.

• Department of Mechanical Engineering, Osaka Prefecture University Sakai, Osaka 599–8531, Japan

autor

Kobayashi T.

• Department of Mechanical Engineering, Osaka Prefecture University Sakai, Osaka 599–8531, Japan

Bibliografia

• [1] Brockett R.W. and Liberzon D.(2000): Quantized feedback stabilization of linear systems. — IEEE Trans. Automat. Contr., Vol. 45, No. 7, pp. 1279–1289.
• [2] Bushnell L.G., Ed. (2001): Special section on networks & control.— IEEE Contr. Sys. Mag., Vol. 21, No. 1, pp. 22–99.
• [3] Delchamps D.F. (1990): Stabilizing a linear system with quantized state feedback. — IEEE Trans. Automat. Contr., Vol. 35, No. 8, pp. 916–924.
• [4] Hespanha J.P. and Morse A.S. (1999): Stability of switched systems with average dwell-time. — Proc. 38th IEEE Conf. Decision and Control, Phoenix, USA, pp. 2655–2660.
• [5] Liberzon D. (2000): Nonlinear stabilization by hybrid quantized feedback. — Proc. 3rd Int. Workshop Hybrid Systems: Computation and Control, Pittsburgh, USA, pp. 243–257.
• [6] Liberzon D. (2003): Hybrid feedback stabilization of systems with quantized signals. — Automatica, Vol. 39, No. 9, pp. 1543–1554.
• [7] Zhai G., Hu B., Yasuda K., and Michel A.N. (2001): Stability analysis of switched systems with stable and unstable subsystems: An average dwell time approach. — Int. J. Syst. Sci., Vol. 32, No. 8, pp. 1055–1061.
• [8] Zhai G., Mi Y., Imae J. and Kobayashi T. (2005): Design of H∞ feedback control systems with quantized signals. — Prepr. 16th IFAC World Congress, Prague, Czech Republic, (on CD-ROM).