Amplitude Dependent Stability Analysis for Discretized Nonlinear Control Systems

Yoshifumi Okuyama; Fumiaki Takemori

doi:10.11499/sicep.2002.0.575.0

SICE Annual Conference 2002

DOI https://doi.org/10.11499/sicep.2002.0.575.0

Conference information

Host: The Society of Instrument and Control Engineers

Co-host: IEEE/Industiral Electronic Society, IEEE/Robotics and Automation Society, IEEE/Control System Society

Amplitude Dependent Stability Analysis for Discretized Nonlinear Control Systems

Yoshifumi Okuyama, Fumiaki Takemori

Author information

Keywords: Nonlinear discrete-time systems, discretization/quantization, robust/absolute stability, sustained oscillations

CONFERENCE PROCEEDINGS FREE ACCESS

Pages 575

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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.

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