Adaptive control of nonlinear systems with unknown parameters

Author

Qin, Bin ; Yang, Yanmei ; Han, Zhigang

Author_Institution

Inst. of Appl. Math., Heilongjiang Univ., China

Volume

2

fYear

1996

fDate

14-17 Oct 1996

Firstpage

809

Abstract

An approach to the solution of the adaptive control for nonlinear systems with unknown (certain or uncertain) parameters is presented by using the theory of nonlinear H_∞ disturbance attenuation control. It is shown that the adaptive control law is related to the existence of the solution of a new form of Hamilton-Jacobi-Isaacs inequality (or equality). The asymptotical stability of the closed loop system can be guaranteed when the estimators of the uncertain parameters converge to the true value

Keywords

H^∞ control; adaptive control; asymptotic stability; closed loop systems; convergence; nonlinear control systems; parameter estimation; uncertain systems; Hamilton-Jacobi-Isaacs equality; Hamilton-Jacobi-Isaacs inequality; adaptive control; asymptotical stability; closed loop system; nonlinear H_∞ disturbance attenuation control; nonlinear systems; uncertain parameters; Adaptive control; Asymptotic stability; Attenuation; Closed loop systems; Control systems; Erbium; Mathematics; Nonlinear control systems; Nonlinear systems; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man, and Cybernetics, 1996., IEEE International Conference on

Conference_Location

Beijing

ISSN

1062-922X

Print_ISBN

0-7803-3280-6

Type

conf

DOI

10.1109/ICSMC.1996.571127

Filename

571127