Abstract
This paper deals with stabilization of continuous-time systems whose control inputs take two distinct values. We consider to generate control inputs based on pulse-width-modulation (PWM) and derive a discrete-time system which governs the state transitions of the continuous-time system at sampling instants. Since PWM control inputs keep pulsating, stability of fixed points for the discrete-time system implies stability of limit cycles for the continuous-time system. Based on the discrete-time system, we show analysis results for the existence of the fixed point, local controllability and local stabilizability. Furthermore, we will propose methods to synthesize locally stabilizing state and output feedback controllers based on LMIs.
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