The study of dynamic characteristics in nonlinear systems

Author

Pu, Xiong-Zhu ; Zhu, Ming-Wu ; Fan, Mao-Jun

Author_Institution

Mech. Inst., Nanjing Univ. of Sci. & Technol., China

Volume

44

Issue

3

fYear

1995

fDate

6/1/1995 12:00:00 AM

Firstpage

652

Lastpage

656

Abstract

A new algorithm is proposed to calculate the Laplace transform of the product of functions, so that the transformation could be used to solve the problem of nonlinear systems. The nonlinear transfer functions and approximate solutions of pulse response in the first- and second-order systems, which are calculated by this method, are the same as those by the Volterra series method, but could be obtained more conveniently. The frequency responses of first- and second-order systems with cubic nonlinearities and their stability problems are studied. A judgement is proposed for second-order nonlinear systems to prevent some special phenomena of nonlinear systems, such as jump, superharmonic resonance, bifurcation, etc

Keywords

Laplace transforms; control system analysis; frequency response; nonlinear differential equations; nonlinear systems; stability; Laplace transform; Volterra series; bifurcation; cubic nonlinearities; dynamic characteristics; first-order systems; frequency responses; jump; nonlinear systems; nonlinear transfer functions; pulse response; second-order systems; shuffle product; stability; superharmonic resonance; Calculus; Differential equations; Frequency; Laplace equations; Linear systems; Nonlinear dynamical systems; Nonlinear equations; Nonlinear systems; Transfer functions; Transforms;

fLanguage

English

Journal_Title

Instrumentation and Measurement, IEEE Transactions on

Publisher

ieee

ISSN

0018-9456

Type

jour

DOI

10.1109/19.387301

Filename

387301