Series solutions of state equation for nonlinear harmonic control system

Author

Cao, Shaozhong ; Li, Yang

Author_Institution

Sch. of Inf. & Mech. Eng., Beijing Inst. of Graphic Commun., Beijing, China

Volume

1

fYear

2009

fDate

5-6 Dec. 2009

Firstpage

366

Lastpage

370

Abstract

Among the variables of the nonlinear control system, the useful couplings are wanted to be utilized reasonable, and the harmful relations are needed to be avoided. For this reason, the nonlinear harmonic control principle might be used in this control system. In this paper, building the state equation of nonlinear harmonic control system, and deriving the complete compensation condition of this equation under the surrounding interference, furthermore, providing the nonlinear state equation of complete compensation harmonic control system according to the control methods. In following, the arbitrary-order series solutions are also calculated using the direct heuristic method, which is proven to be one efficient calculating method for approximate solution of the state equation of nonlinear system.

Keywords

nonlinear control systems; nonlinear equations; series (mathematics); arbitrary-order series solutions; compensation condition; couplings; heuristic method; nonlinear harmonic control principle; nonlinear harmonic control system; nonlinear state equation; Communication system control; Control systems; Control theory; Educational technology; Graphics; Interference; Mechanical variables control; Nonlinear control systems; Nonlinear equations; Open loop systems; Nonlinear harmonic control; Series solution; State equation;

fLanguage

English

Publisher

ieee

Conference_Titel

Test and Measurement, 2009. ICTM '09. International Conference on

Conference_Location

Hong Kong

Print_ISBN

978-1-4244-4699-5

Type

conf

DOI

10.1109/ICTM.2009.5412918

Filename

5412918