Design of nonlinear control systems by means of differential genetic programming

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

doi:10.1109/cdc.2004.1428875

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 journal › Conference article › peer-review

9 Citations (Scopus)

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 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 language	English
Article number	WeC13.4
Pages (from-to)	2734-2739
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	3
DOIs	https://doi.org/10.1109/cdc.2004.1428875
Publication status	Published - 2004
Externally published	Yes
Event	2004 43rd IEEE Conference on Decision and Control (CDC) - Nassau, Bahamas Duration: 2004 Dec 14 → 2004 Dec 17

ASJC Scopus subject areas

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

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10.1109/cdc.2004.1428875

Cite this

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title = "Design of nonlinear control systems by means of differential genetic programming",

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 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.",

author = "Joe Imae and Yoshiteru Kikuchi and Nobuyuki Ohtsuki and Tomoaki Kobayashi and Guisheng Zhai",

year = "2004",

doi = "10.1109/cdc.2004.1428875",

language = "English",

volume = "3",

pages = "2734--2739",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0191-2216",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "2004 43rd IEEE Conference on Decision and Control (CDC) ; Conference date: 14-12-2004 Through 17-12-2004",

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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.

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M3 - Conference article

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JO - Proceedings of the IEEE Conference on Decision and Control

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ER -

Design of nonlinear control systems by means of differential genetic programming

Abstract

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