Adaptive solution of Hamilton-Jacobi-Isaac equation and practical H/sub /spl infin// stabilization of nonlinear systems

We consider adaptive approaches to the solution of the Hamilton-Jacobi-Isaacs equation (HJIE) arising from the H/sub /spl infin// 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.