Title :
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
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;
Conference_Titel :
SICE 2002. Proceedings of the 41st SICE Annual Conference
Print_ISBN :
0-7803-7631-5
DOI :
10.1109/SICE.2002.1195833
