TY - JOUR
T1 - Design of nonlinear control systems by means of differential genetic programming
AU - Imae, Joe
AU - Kikuchi, Yoshiteru
AU - Ohtsuki, Nobuyuki
AU - Kobayashi, Tomoaki
AU - Zhai, Guisheng
PY - 2004
Y1 - 2004
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=14244264344&partnerID=8YFLogxK
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U2 - 10.1109/cdc.2004.1428875
DO - 10.1109/cdc.2004.1428875
M3 - Conference article
AN - SCOPUS:14244264344
SN - 0743-1546
VL - 3
SP - 2734
EP - 2739
JO - Proceedings of the IEEE Conference on Decision and Control
JF - Proceedings of the IEEE Conference on Decision and Control
M1 - WeC13.4
T2 - 2004 43rd IEEE Conference on Decision and Control (CDC)
Y2 - 14 December 2004 through 17 December 2004
ER -