Title :
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
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;
Conference_Titel :
Evolutionary Computation, 2003. CEC '03. The 2003 Congress on
Print_ISBN :
0-7803-7804-0
DOI :
10.1109/CEC.2003.1299744
