The Stabilization of Singular Linear Large-Scale Control Systems with Output Feedbacks

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Abstract:

The stabilization problem of singular linear large-scale control systems with output feedbacks is investigated by using the generalized Lyapunov matrix equation, system decomposition method, singular systems theory and matrix theory. Some sufficient conditions for determining the asymptotical stability and unstability of the corresponding singular closed-loop large-scale systems are given. At last, an illustrate example is given to show the application of main result.

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Periodical:

Advanced Materials Research (Volumes 383-390)

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72-78

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November 2011

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] Dai L. Singular Control Systems[M]. Berlin: Sping-Verlag, 1989.

Google Scholar

[2] Campbell S L. Singular Systems of differential equations. London: Pitman Advanced Publishing Program, 1980, (1982).

Google Scholar

[3] Chen Chao-tian. The Dynamical Stability of singular system (Doctoral Thesis). GuangZhou: South China University of Technology, (1998).

Google Scholar

[4] Zhang Qing-ling, Dai Guan-zhong. The Asymptotic Stability and Stabilization for Singular System. Acta Automatica Sinica , 1998, 24: 2, 208-211.

Google Scholar

[5] Zhang Qing-ling, Lam J. Generalized Lyapunov Equation for Analyzing the Stability of Descriptor Systems. Proc. of 14th World Congress of IFAC, 1999, 19-24.

Google Scholar

[6] Chen Chao-tian, Liu Yong-qing. Stability of large-scale linear singular dynamical systems and its interconnecting parameters regions. Journal of South China University of Technoloty , 1996, 24: 5, 51-56.

Google Scholar

[7] Wo Song-lin. Stability and Decentralized Control for the Singular Large-Scale Systems (Doctoral Thesis). Nanjing: Nanjing University of Science and Technology, (2004).

Google Scholar

[8] Chen Chao-Tian, Liu Yong-Qing; Lyapunov stability analysis of linear singular dynamical systems, ICIPS '97. 1997 IEEE International Conference on Intelligent Processing Systems, Vol. 1, 1997, 635 – 639.

DOI: 10.1109/icips.1997.672862

Google Scholar

[9] Yang Dong-mei, Zhang Qing-ling, Singular systems, Science Press, Beijing, (2004).

Google Scholar

[10] Chang N T and Davison E J. Decentralized control for descriptor type systems. Proc of IEEE 25th CDC, 1986, USA, 1, 176-181.

Google Scholar

[11] Chang, T.; Davison, E.J. The decentralized robust stabilization and regulation problem subject to gain and phase perturbation. American Control Conference, 2001. Proceedings of the 2001 , Vol. 5, 2001, 4052 -4057.

DOI: 10.1109/acc.2001.946336

Google Scholar

[12] Labibi, B.; Lohmann, B.; Sedigh, A.K.; Maralani, P.J.; Decentralized stabilization of large-scale systems via State-feedback and using descriptor systems, IEEE Transactions on Systems, Man and Cybernetics, Part A, 33: 6, 2003 , 771 – 776.

DOI: 10.1109/tsmca.2003.818463

Google Scholar

[13] Jianghua Zhong , Daizhan Cheng , Xiaoming Hu. Constructive stabilization for quadratic input nonlinear systems. Automatica. 2008, 1996-(2005).

DOI: 10.1016/j.automatica.2008.01.005

Google Scholar

[14] Shengyuan Xu; Van Dooren, P.; Stefan, R; ; Lam, J. Robust stability and stabilization for singular systems with state delay and parameter uncertainty. IEEE Transactions on Automatic Control, 47: 7, July 2002 , 1122 –1128.

DOI: 10.1109/tac.2002.800651

Google Scholar