Title :
Adaptive control of nonlinear systems with unknown parameters
Author :
Qin, Bin ; Yang, Yanmei ; Han, Zhigang
Author_Institution :
Inst. of Appl. Math., Heilongjiang Univ., China
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;
Conference_Titel :
Systems, Man, and Cybernetics, 1996., IEEE International Conference on
Conference_Location :
Beijing
Print_ISBN :
0-7803-3280-6
DOI :
10.1109/ICSMC.1996.571127
