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Forced oscillations in reset control systems

Reset controllers are linear systems that reset some or all of their states to zero based on a given reset law. We (1999) previously established asymptotic stability results for reset control systems under constant inputs. The bounded-input bounded-output stability of reset systems was addressed by Chen et al. (2000). In this paper, we study their response to sinusoidal inputs and analyze oscillations forced by sinusoidal sensor noise. Our motivation is to establish reset control system response to (sinusoidal) sensor noise.