Amplitude dependent stability analysis for discretized nonlinear control systems

Author

Okuyama, Yoshifumi ; Takemori, Fumiaki

Author_Institution

Dept. of Life Inf. Technol., Tokushima Bunri Univ., Japan

Volume

4

fYear

2002

fDate

5-7 Aug. 2002

Firstpage

2612

Abstract

This paper analyzes the amplitude dependent behavior of discrete-time and discrete-value (discretized/quantized) nonlinear control systems in a frequency domain. First, the robust stability condition which was derived in our previous papers is applied to a discrete-time control system with a stepwise nonlinear element. Then, an instability condition for that type of nonlinear feedback system is given. By considering restricted areas (two sectors) in the stepwise nonlinear characteristic, the amplitude of sustained oscillations for the feedback system will be estimated.

Keywords

control system analysis; discrete time systems; feedback; frequency-domain analysis; nonlinear control systems; robust control; stability criteria; amplitude dependent stability analysis; discrete-time nonlinear control systems; discrete-value nonlinear control systems; discretized nonlinear control systems; discretized/quantized nonlinear control systems; feedback system; frequency-domain analysis; nonlinear feedback system; robust stability condition; stepwise nonlinear characteristic; stepwise nonlinear element; sustained oscillations; Amplitude estimation; Closed loop systems; Control systems; Cutoff frequency; Feedback; Frequency domain analysis; Nonlinear control systems; Nonlinear equations; Robust stability; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

SICE 2002. Proceedings of the 41st SICE Annual Conference

Print_ISBN

0-7803-7631-5

Type

conf

DOI

10.1109/SICE.2002.1195833

Filename

1195833