Detection of limit cycles in discrete systems with backlash and resolution

Author

De la Sen, Manuel ; Pena, A. ; Esnaola, J.

Author_Institution

Dept. of Electricity & Electron., Basque Country Univ., Leioa, Spain

fYear

1993

fDate

15-17 Dec 1993

Firstpage

2978

Abstract

In this paper, a discretization-oriented describing function is derived for nonlinear devices combining backlash and quantization (resolution) while being subject to discretization through a sampler and zero-order hold. Such a describing function is frequency-dependent so that the overall nonlinearity, which includes both resolution and backlash, is interpreted as one possessing nonlinear inertia. That inertia is generated by the sampling process since it does not appear if the system is continuous. The presence of limit cycles is investigated through simulated examples

Keywords

control system analysis; describing functions; discrete systems; limit cycles; nonlinear systems; backlash; discrete systems; discretization-oriented describing function; frequency-dependent describing function; limit cycle detection; nonlinear devices; overall nonlinearity; quantization; resolution; sampler; zero-order hold; Frequency domain analysis; Harmonic analysis; Hysteresis; Limit-cycles; Low pass filters; Power harmonic filters; Quantization; Relays; Sampling methods; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on

Conference_Location

San Antonio, TX

Print_ISBN

0-7803-1298-8

Type

conf

DOI

10.1109/CDC.1993.325746

Filename

325746