Amplitude dependent stability analysis for discretized nonlinear control systems

説明

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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