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Frontiers of Electrical and Electronic Engineering

ISSN 2095-2732

ISSN 2095-2740(Online)

CN 10-1028/TM

Front. Electr. Electron. Eng.    2008, Vol. 3 Issue (4) : 465-469    https://doi.org/10.1007/s11460-008-0074-7
Design of controllers for a class of switched nonlinear systems based on backstepping method
XIANG Zhengrong, XIANG Weiming
School of Automation, Nanjing University of Science and Technology
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Abstract The backstepping method is applied to a certain class of switched nonlinear systems to design state feedback controllers and a switching law based on multi-Lyapunov functions. The state feedback controllers and the switching law that can stabilize the system are developed. The switched nonlinear systems with uncertainties can be stabilized robustly by using the proposed method. Finally, simulation results show the effectiveness of the method.
Issue Date: 05 December 2008
 Cite this article:   
XIANG Zhengrong,XIANG Weiming. Design of controllers for a class of switched nonlinear systems based on backstepping method[J]. Front. Electr. Electron. Eng., 2008, 3(4): 465-469.
 URL:  
https://academic.hep.com.cn/fee/EN/10.1007/s11460-008-0074-7
https://academic.hep.com.cn/fee/EN/Y2008/V3/I4/465
1 Decarlo R A, Branicky M S, Pettersson S, et al.. Perspective and results on the stability andstabilizability of hybrid system. In: Proceedingsof the IEEE. 2000, 88(7): 1069–1082.
doi:10.1109/5.871309
2 Cheng D Z, Guo Y Q . Advances on switched systems. Control Theory and Applications, 2005, 22(6): 954–960 (in Chinese)
3 Song Y, Xiang Z R, Chen Q W, et al.. Control of switched systems with actuator saturation. Journal of Control Theory and Applications, 2006, 4(1): 38–43.
doi:10.1007/s11768-006-5265-2
4 Song Y, Xiang Z R, Chen Q W, et al.. Analysis of sliding mode in planar switchedsystems. Acta Automatica Sinica, 2005, 31(5): 743–749
5 Malmborg J, Bernhardsson B, Astrom K J . A stabilizing switching scheme for multi controller systems. In: Proceedings of 13th IFAC. 1996, 229–234
6 Pettersson S . Analysisand design of hybrid systems. Dissertation for the Doctoral Degree. Sweden: ChalmersUniversity of Technology, 1999
7 Zhao S Z, Li J H, Zhao J . Uniform normal form and stabilizability of single-inputsingle-output switched systems. Controland Decision, 2005, 20(10): 1161–1164 (in Chinese)
8 Sun H F, Zhao J . Control Lyapunov functionsfor switched control systems. In: Proceedingsof the American Control Conference. 2001, 3: 1890–1891
9 Khalil H K . Nonlinear Systems. 2nd ed. Prentice-Hall, 1996
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