Indirect adaptive control for a class of unknown nonlinear systems based on LS-SVM

Author

Chunli Xie ; Cheng Shao ; Dandan Zhao ; Juan Wang

Author_Institution

Fac. of Electron. Inf. & Electr. Eng., Dalian Univ. of Technol., Dalian, China

fYear

2010

fDate

20-23 June 2010

Firstpage

319

Lastpage

322

Abstract

An indirect adaptive control approach based on LS-SVM is proposed for a class of nonlinear dynamic systems with unknown nonlinearities in this paper. The LS-SVM technique is employed to perform approximating unknown nonlinear functions. The updating rule of LS-SVM parameters is derived from Lyapunov stability theory. The proposed control law can guarantee that the output tracking error and the states of the obtained closed-loop systems are uniformly ultimately bounded. The effectiveness and robustness of the presented control scheme are demonstrated in the case of van der Pol system.

Keywords

Lyapunov methods; adaptive systems; closed loop systems; nonlinear systems; support vector machines; LS-SVM; Lyapunov stability theory; closed-loop systems; indirect adaptive control; nonlinear functions; nonlinear systems; van der Pol system; Adaptive control; Artificial neural networks; Computer errors; Control systems; Function approximation; Least squares approximation; Nonlinear control systems; Nonlinear systems; Support vector machines; Uncertainty; Adaptive control; LS-SVM; Unknown Nonlinear Systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Information and Automation (ICIA), 2010 IEEE International Conference on

Conference_Location

Harbin

Print_ISBN

978-1-4244-5701-4

Type

conf

DOI

10.1109/ICINFA.2010.5512367

Filename

5512367