Contents Menu

Tanaka Shougo

Affiliate Master Yamaguchi University

Sub-optimal Control of Nonlinear Systems by Use of Functional Expansions

Memoirs of the Faculty of Engineering, Yamaguchi University Volume 32 Issue 1 Page 127-136
published_at 1981
KJ00000156395.pdf
[fulltext] 701 KB
Title
汎関数展開に基づく非線形系の準最適制御
Sub-optimal Control of Nonlinear Systems by Use of Functional Expansions
Creators Nomura Hiroshi
Creators Tanaka Syogo
Creators Okita Tsuyoshi
Source Identifiers
This paper is concerned with representing the response of non-linear differential systems by functional expansions, and we consider a suboptimal control problem by using this expansions. The use of functional expansions to represent the response of dynamic systems is a well-established concept. Since then functional expansions have played an important role in the modeling of nonlinear systems, both when the underlying system eqations are known and when the system is characterized only by the availability of input-output data. The dynamic system is described by a systems of nonlinear differential equations and the objective is to obtain a local approximation of the system output by a functional expansion operating on the input. Usually, although not always, the exparnsion is a trancated power series. A perturbation methord have been applied to optimal control problem in some class of nonlinear systems. We propose a new perturbation methord which use functional expansions, and apply this method to nonlinear systems which is described by the Kolmogorov-Gabor's nonlinear differential equation. This equation is very universal, and include Duffing's equation, Van der, Pol's Rayleigh's, etc. ... Examples are given to illustrate the method.
Subjects
電気電子工学 ( Other)
Languages jpn
Resource Type departmental bulletin paper
Publishers 山口大学工学部
Date Issued 1981
File Version Version of Record
Access Rights open access
Relations
[ISSN]0372-7661
[NCID]AN00244228
Schools 工学部