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PWM-type discrete VSS controller for on/off actuator systems

In this paper, a regulation problem for systems whose control input signal is restricted to on/off pulses with large sampling periods is considered. A control law is designed for a class of single input systems with full state information and does not require the system to be stable. First, a sliding sector for discrete-time system is defined based on a norm of the system state where the norm decreases inside the sliding sector. Then the PWM-type discrete-time VSS control law is designed to move the system state from the outside to the inside of the sliding sector. Simulation show the effectiveness of the proposed controller.