Nonlinear phenomena and robust stability for discrete control systems

Author

Okuyama, Yuichi

Author_Institution

Humanitech Lab. Co., Ltd., Tottori Univ., Tokushima, Japan

fYear

2012

fDate

20-23 Aug. 2012

Firstpage

1313

Lastpage

1318

Abstract

This paper analyzes the nonlinear phenomena and stability of discrete-time and discrete-value (discretized/quantized) control systems. In this study, it is assumed that the discretization is executed on the input and output sides of a continuous nonlinear element, and the sampling period is chosen such that the absolute value of the backward difference of control signal does not exceed the resolution value. Based on the premise, the robust stability for nonlinear discrete (point-to-point) control systems is examined in a frequency domain. The relationship beween the sizes of sampling-period and resolution-value is clarified in numerical examples.

Keywords

discrete systems; nonlinear control systems; robust control; sampling methods; discrete-time control system; discrete-value control system; discretized control system; frequency domain; nonlinear discrete control system; nonlinear phenomena; nonlinear point-to-point control system; quantized control system; resolution value; robust stability; sampling period; Gain; Nonlinear control systems; Numerical stability; Robust stability; Robustness; Signal resolution; Aizerman conjecture; Nonlinear control systems; discretization; quantization; robust stability;

fLanguage

English

Publisher

ieee

Conference_Titel

SICE Annual Conference (SICE), 2012 Proceedings of

Conference_Location

Akita

ISSN

pending

Print_ISBN

978-1-4673-2259-1

Type

conf

Filename

6318650