Title :
Adaptive solution of Hamilton-Jacobi-Isaac equation and practical H ∞ stabilization of nonlinear systems
Author_Institution :
Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA
Abstract :
We consider adaptive approaches to the solution of the Hamilton-Jacobi-Isaacs equation (HJIE) arising from the H∞ control problem for nonlinear systems. We propose three approaches to the practical stabilization of a class of nonlinear systems using exact or approximate solutions of the HJIE. Starting with the solution of the linearized HJIE, we derive adaptive rules that will guarantee global exponential stability of the closed-loop system
Keywords :
H∞ control; Riccati equations; asymptotic stability; closed loop systems; control system synthesis; matrix algebra; nonlinear control systems; state feedback; variable structure systems; H∞ stabilization; Hamilton-Jacobi-Isaac equation; adaptive rules; adaptive solution; global exponential stability; Adaptive control; Control system synthesis; Control systems; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Programmable control; Riccati equations; Sliding mode control; Stability;
Conference_Titel :
Control Applications, 2000. Proceedings of the 2000 IEEE International Conference on
Conference_Location :
Anchorage, AK
Print_ISBN :
0-7803-6562-3
DOI :
10.1109/CCA.2000.897448
