Design of nonlinear control systems by means of differential genetic programming

Author

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

Author_Institution

Osaka Prefectural Univ., Sakai, Japan

Volume

3

fYear

2004

fDate

14-17 Dec. 2004

Firstpage

2734

Abstract

Based on the genetic programming (GP), a new design method of optimal and/or robust controllers of nonlinear systems is proposed. First we introduce a new type of genetic programming, which is called "differential GP". The differential GP combines the conventional GP with an automatic differentiation scheme, so that it can solve Hamilton-Jacobi-Bellman (HJB)/Hamilton-Jacobi-Isaacs (HJI)/Francis - Byrnes - Isidori (FBI) equations. Our design method is mainly based on the differential GP technique, and so it gives us a new possibility of the HJB/HJI/FBI based design techniques. Lastly, the effectiveness of the differential GP based design method is demonstrated through some design examples of nonlinear systems.

Keywords

control system synthesis; differentiation; genetic algorithms; nonlinear control systems; optimal control; Francis-Byrnes Isidori equations; Hamilton-Jacobi-Bellman equations; Hamilton-Jacobi-Isaacs equations; automatic differentiation scheme; differential GP technique; differential genetic programming; nonlinear control systems 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

Decision and Control, 2004. CDC. 43rd IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-8682-5

Type

conf

DOI

10.1109/CDC.2004.1428875

Filename

1428875