Title :
A Hamilton-Jacobi inequality approach to nonlinear strict H∞ control and characterization of some gain conditions
Author :
Imura, Jun-ichi ; Sugie, Toshiharu ; Yoshikawa, Tsuneo
Author_Institution :
Dept. of Mech. Eng., Kyoto Univ., Japan
Abstract :
In this paper, a Hamilton-Jacobi inequality approach is developed for the strict H∞ control problem of nonlinear systems and the characterization of some gain conditions. First, a characterization of the strict bounded real condition of nonlinear systems is given. Next, based on the above result, some necessary and/or sufficient conditions are given for the solvability of the strict H∞ control problem via state or output feedback in the case of asymptotic stability. Finally, we give a characterization of some gain conditions except for the L2 gain
Keywords :
H∞ control; Jacobian matrices; asymptotic stability; feedback; nonlinear control systems; state feedback; Hamilton-Jacobi inequality approach; L2 gain; asymptotic stability; necessary and sufficient conditions; nonlinear strict H∞ control; nonlinear systems; output feedback; state feedback; strict bounded real condition; Control systems; H infinity control; Nonlinear systems;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478904
