Title :
Redesign of adaptive control systems based on the notion of optimality
Author :
Miyasato, Yoshihiko
Author_Institution :
Inst. of Stat. Math., Tokyo, Japan
fDate :
6/21/1905 12:00:00 AM
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 1~3), and the adaptive ℋ2 (Type 2) and ℋ∞ (Type 1 and 3) optimal (sub-optimal) control systems are constructed for generalized adaptive control problems
Keywords :
H∞ control; Lyapunov methods; adaptive control; asymptotic stability; control system synthesis; functional equations; nonlinear control systems; optimal systems; suboptimal control; Hamilton-Jacobi equations; Hamilton-Jacobi-Isaacs equations; Lyapunov functions; adaptive control systems; generalized adaptive control problems; optimal systems; optimality; suboptimal systems; Adaptive control; Attenuation; Control systems; Cost function; Equations; Mathematics; Nonlinear control systems; Optimal control; Programmable control; Stability analysis;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.827783
