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Journal of Zhejiang University SCIENCE A 2004 Vol.5 No.3 P.274~282

http://doi.org/10.1631/jzus.2004.0274


Decentralized impulsive control for a class of uncertain interconnected systems


Author(s):  CHENG Xin-ming, GUAN Zhi-hong, LIU Xin-zhi

Affiliation(s):  Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China; more

Corresponding email(s):   mxch2001@263.net

Key Words:  Uncertain interconnected systems, Decentralized impulsive control, Stabilization


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CHENG Xin-ming, GUAN Zhi-hong, LIU Xin-zhi. Decentralized impulsive control for a class of uncertain interconnected systems[J]. Journal of Zhejiang University Science A, 2004, 5(3): 274~282.

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DOI - 10.1631/jzus.2004.0274


Abstract: 
A great deal of stabilization criteria has been obtained from study of stabilizing interconnected systems. The results obtained are usually based on continuous systems by state feedback. In this paper, decentralized impulsive control is presented to stabilize a class of uncertain interconnected systems based on Lyapunov theory. The system under consideration involves parameter uncertainties and unknown nonlinear interactions among subsystems. Some new criteria of stabilization under impulsive control are established. Two numerical examples are offered to prove the effectiveness and practicality of the proposed method.

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Reference

[1] Guan, Z.H., Liu, Y.Q., 1994. The stability properties of nonlinear measure large scale systems with impulse effect.Computers Mathematics Application, 28(9):89-99.

[2] Guan, Z.H., 1999. Decentralized stabilization for impulsivelarge-scale systems with delays.Dynamics of Continuous, Discrete and Impulsive Systems,6(3):367-379.

[3] Guan, Z.H., Liao, R.Q., Zhou, F., 2002. On impulsive controland chen's chaotic system.International Journal of Bifurcation and Chaos,12(5):1191-1197.

[4] Lakshmikantham, V., Bainov, D.D., Simeonov, P.S., 1989. Theory of Impulsive Differential Equations. World Scientific, Singapore.

[5] Lakshmikantham, V., Liu, X.Z., 1989. Stability AnalysisinTerms of Two Measures. World Scientific, Singapore.

[6] Liu, X.Z., Kok, L.T., 2002. Impulsive control of chaotic system.International Journal of Bifurcation and Chaos,12(5):1181-1190.

[7] Liu, Y.Q., Guan, Z.H., 1995. The Stabilization and Control on Measure Large-scale Systems with Impulsive Effect. South China University of Technology Press, Guangzhou, China (in Chinese).

[8] Wang, Y., Zhang, Z.C., 1993. The Control on Large-scale SystemsMethod and Technology. TianjingUniversity Press, Tianjing, China (in Chinese).

[9] Yan, X.G., Wang, J.J., Lu, X.Y., 1998. Decentralized output feedback robust stabilization for a class of nonlinear interconnected systems with similarity.IEEE Transactions Automatic Control,43(2):294-299.

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