Approximate Solution Research of State Equation for Controlled Nonlinear Systems

Approximate Solution Research of State Equation for Controlled Nonlinear Systems

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 eq...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Cao Shaozhong, Yang Guowei, Tu Xuyan
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Approximation methods
Control systems
Control theory
Differential equations
Integral equations
Nonlinear control systems
Nonlinear equations
Nonlinear systems
Taylor series
Vectors
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Beschreibung
Zusammenfassung: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.
DOI:10.1109/ICNSC.2008.4525513