Approximate Solution Research of State Equation for Controlled Nonlinear Systems

Author

Shaozhong, Cao ; Guowei, Yang ; Xuyan, Tu

Author_Institution

Beijing Inst. of Graphic Commun., Beijing

fYear

2008

fDate

6-8 April 2008

Firstpage

1784

Lastpage

1787

Abstract

Based on the solution of the linear state equation, by making of the Taylor expansion, the nonlinear state equation of controlled systems under ideal state is transformed to a set of ordinary differential equations with infinite series expression. Based on the solution of this set of linear state equation, the integral equation of the nonlinear state equation is also obtained by utilizing constant variation method. Finally, any order approximate solution of the nonlinear state equation is given by utilizing successive approximation method.

Keywords

approximation theory; differential equations; integral equations; nonlinear control systems; nonlinear equations; series (mathematics); Taylor expansion; approximation method; controlled nonlinear systems; infinite series expression; integral equation; linear state equation; nonlinear state equation; ordinary differential equations; Approximation methods; Control systems; Control theory; Differential equations; Integral equations; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Taylor series; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Networking, Sensing and Control, 2008. ICNSC 2008. IEEE International Conference on

Conference_Location

Sanya

Print_ISBN

978-1-4244-1685-1

Electronic_ISBN

978-1-4244-1686-8

Type

conf

DOI

10.1109/ICNSC.2008.4525513

Filename

4525513