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 Prefectural Univ., Sakai

fYear

2004

fDate

4-4 Sept. 2004

Firstpage

333

Lastpage

338

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

Jacobian matrices; control system synthesis; differential equations; differentiation; feedback; genetic algorithms; nonlinear control systems; optimal control; robust control; Francis-Byrnes-Isidori equations; Hamilton-Jacobi-Bellman equations; Hamilton-Jacobi-Isaacs equations; automatic differentiation scheme; differential genetic programming; feedback; nonlinear control system design; optimal controller design; robust controller design; 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

Computer Aided Control Systems Design, 2004 IEEE International Symposium on

Conference_Location

Taipei

Print_ISBN

0-7803-8636-1

Type

conf

DOI

10.1109/CACSD.2004.1393898

Filename

1393898