Redesign of adaptive control systems based on the notion of optimality

Abstract

A class of adaptive control systems which are not only asymptotically stable but also optimal or sub-optimal to some meaningful cost functionals, are derived. By relating Lyapunov functions with solutions of Hamilton-Jacobi (-Isaacs) equations, three types of adaptive optimal control problems are solved (Type 1/spl sim/3), and the adaptive /spl Hscr//sup 2/ (Type 2) and /spl Hscr//sup /spl infin// (Type 1 and 3) optimal (sub-optimal) control systems are constructed for generalized adaptive control problems.