Design of nonlinear control systems by means of differential genetic programming

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

Research output: Contribution to journalConference articlepeer-review

9 Citations (Scopus)


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 the genetic programming, which is so 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.

Original languageEnglish
Article numberWeC13.4
Pages (from-to)2734-2739
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Publication statusPublished - 2004
Externally publishedYes
Event2004 43rd IEEE Conference on Decision and Control (CDC) - Nassau, Bahamas
Duration: 2004 Dec 142004 Dec 17

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization


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