Adaptive control of nonlinear systems via disturbance attenuation

Author

Bin Qin ; Yang, Y.M.

Author_Institution

Dept. of Autom., Shanghai Jiaotong Univ., Shanghai, China

fYear

1997

fDate

1-7 July 1997

Firstpage

2540

Lastpage

2545

Abstract

An approach to the solution of the adaptive control for nonlinear systems with unknown parameters is presented by using the theory of nonlinear H_∞ disturbance attenuation control. The two-level control law is presented. It is shown that the adaptive control law is related to the existence of the solution of a new form of Hamilton-Jacobi-Isaacs inequlity. The stability of the closed loop system can be guranteed when the update rate of the unknown parameter is equal to the requested update law. The asymptotical stability of the closed loop system can be guranteed when the estimators of the uncertain parameters convergence to the true value.

Keywords

H^∞ control; adaptive control; asymptotic stability; attenuation; closed loop systems; nonlinear control systems; uncertain systems; Hamilton-Jacobi-Isaac inequality; adaptive control; asymptotic stability; closed loop system stability; nonlinear H_∞ disturbance attenuation control; two-level control law; uncertain parameter convergence; Adaptive control; Asymptotic stability; Attenuation; Closed loop systems; Games; Nonlinear systems; Stability analysis; Adaptive control; Nonlinear systems; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 1997 European

Conference_Location

Brussels

Print_ISBN

978-3-9524269-0-6

Type

conf

Filename

7082489