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## International Journal of Applied Mathematics and Computer Science

2013 | 23 | 2 | 317-325
Tytuł artykułu

### Decentralized design of interconnected $H_∞$ feedback control systems with quantized signals

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we consider the design of interconnected $H_∞$ feedback control systems with quantized signals. We assume that a decentralized dynamic output feedback has been designed for an interconnected continuous-time LTI system so that the closed-loop system is stable and a desired $H_∞$ disturbance attenuation level is achieved, and that the subsystem measurement outputs are quantized before they are passed to the local controllers. We propose a local-output-dependent strategy for updating the parameters of the quantizers, so that the overall closed-loop system is asymptotically stable and achieves the same $H_∞$ disturbance attenuation level. Both the pre-designed controllers and the parameters of the quantizers are constructed in a decentralized manner, depending on local measurement outputs.
Słowa kluczowe
EN
Rocznik
Tom
Numer
Strony
317-325
Opis fizyczny
Daty
wydano
2013
otrzymano
2012-10-24
poprawiono
2013-02-18
Twórcy
autor
• Department of Mathematical Sciences, Shibaura Institute of Technology, Saitama 337-8570, Japan
autor
• School of Information and Engineering, Central South University, Changsha, Hunan 410083, China
autor
• School of Information and Engineering, Central South University, Changsha, Hunan 410083, China
Bibliografia
• Brockett, R.W. and Liberzon, D. (2000). Quantized feedback stabilization of linear systems, IEEE Transactions on Automatic Control 45(7): 1279-1289.
• Bushnell, L.G. (2001). Special section on networks & control, IEEE Control Systems Magazine 21(1): 22-99.
• Chen, N., Shen, X. and Gui, W. (2011a). Decentralized $H_∞$ quantized dynamic output feedback control for uncertain interconnected networked systems, Proceedings of the 8th Asian Control Conference, Kaohsiung, Taiwan, pp. 131-136.
• Chen, W., Khan, A.Q., Abid, M. and Ding, S.X. (2011b). Integrated design of observer based fault detection for a class of uncertain nonlinear systems, International Journal of Applied Mathematics and Computer Science 21(3): 423-430, DOI: 10.2478/v10006-011-0031-0.
• Delchamps, D.F. (1990). Stabilizing a linear system with quantized state feedback, IEEE Transactions on Automatic Control 35(8): 916-924.
• Ikeda, M., Zhai, G. and Fujisaki, Y. (1996). Decentralized $H_∞$ control for large-scale systems: A matrix inequality approach using a homotopy method, Proceedings of the 35th IEEE Conference on Decision and Control, Kobe, Japan, pp. 1-6.
• Ishii, H. and Francis, B. (2002). Limited Data Rate in Control Systems with Networks, Springer, Berlin.
• Iwasaki, T., Skelton, R.E. and Grigoriadis, K.M. (1998). A Unified Algebraic Approach to Linear Control Design, Taylor & Francis, London.
• Liberzon, D. (2000). Nonlinear stabilization by hybrid quantized feedback, Proceedings of the 3rd International Workshop on Hybrid Systems: Computation and Control, Pittsburgh, PA, USA, pp. 243-257.
• Liberzon, D. (2003). Hybrid feedback stabilization of systems with quantized signals, Automatica 39(9): 1543-1554.
• Ling, Q. and Lemmon, M.D. (2010). A necessary and sufficient feedback dropout condition to stabilize quantized linear control systems with bounded noise, IEEE Transactions on Automatic Control 55(11): 2590-2596.
• Morawski, M. and Zajączkowski, A.M. (2010). Approach to the design of robust networked control systems, International Journal of Applied Mathematics and Computer Science 20(4): 689-698, DOI: 10.2478/v10006-010-0052-0.
• Murao, S., Zhai, G., Ikeda, M. and Tamaoki, K. (2002). Decentralized $H_∞$ controller design: An LMI approach, Proceedings of the 41st SICE Annual Conference, Osaka, Japan, pp. 2734-2739.
• Tatikonda, S. and Mitter, S. (2004). Control under communication constraints, IEEE Transactions on Automatic Control 49(7): 1056-1068.
• Zhai, G., Chen, N. and Gui, W. (2010). Quantizer design for interconnected feedback control systems, Journal of Control Theory and Applications 8(1): 93-98.
• Zhai, G., Ikeda, M. and Fujisaki, Y. (2001). Decentralized $H_∞$ controller design: A matrix inequality approach using a homotopy method, Automatica 37(4): 565-572.
• Zhai, G., Matsumoto, Y., Chen, X. and Mi, Y. (2004). Hybrid stabilization of linear time-invariant systems with two quantizers, Proceedings of the 2004 IEEE International Symposium on Intelligent Control, Taipei, Taiwan, pp. 305-309.
• Zhai, G., Mi, Y., Imae, J. and Kobayashi, T. (2005). Design of $H_∞$ feedback control systems with quantized signals, Preprints of the 16th IFAC World Congress, Prague, Czech Republic, Fr-M17-TO/1.
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Bibliografia
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