Title :
Nonlinear phenomena and robust stability for discrete control systems
Author_Institution :
Humanitech Lab. Co., Ltd., Tottori Univ., Tokushima, Japan
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;
Conference_Titel :
SICE Annual Conference (SICE), 2012 Proceedings of
Conference_Location :
Akita
Print_ISBN :
978-1-4673-2259-1
