A nonlinear control system design based on HJB/HJI/FBI equations via differential genetic programming approach

Author

Imae, Joe ; Kikuchi, Yoshiteru ; Ohtsuki, Nobuyuki ; Kobayashi, Tomoaki

Author_Institution

Osaka Prefecture Univ., Sakai, Japan

Volume

2

fYear

2003

fDate

8-12 Dec. 2003

Firstpage

763

Abstract

Based on the differential genetic programming, a new design method is proposed for optimal and/or robust controllers of nonlinear systems. First we introduce a new type of the genetic programming (GP), so-called differential GP (DGP), combining GP with an automatic differentiation scheme, which could solve Hamilton-Jacobi-Bellman(HJB)/Hamilton-Jacobi-Isaacs(HJI)/Francis-Byrnes-Isidori (FBI) equations. Lastly, the effectiveness of a DGP based design method is demonstrated through some design examples of nonlinear systems.

Keywords

control system synthesis; differentiation; genetic algorithms; nonlinear control systems; optimal control; robust control; Francis-Byrnes-Isidori equations; Hamilton-Jacobi-Bellman equations; Hamilton-Jacobi-Isaacs equations; differential genetic programming; nonlinear control system design; optimal controllers; robust controllers; Automatic control; Control systems; Design methodology; Differential equations; Genetic programming; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Optimal control; Robust control;

fLanguage

English

Publisher

ieee

Conference_Titel

Evolutionary Computation, 2003. CEC '03. The 2003 Congress on

Print_ISBN

0-7803-7804-0

Type

conf

DOI

10.1109/CEC.2003.1299744

Filename

1299744