Title :
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
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;
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
DOI :
10.1109/ICNSC.2008.4525513
