Self-triggered output feedback control of linear plants

This paper addresses the problem of self-triggered output feedback control of linear time-invariant plants. In a self-triggered state feedback scenario, the controller is allowed to choose when the next sampling time should occur and does so based on the current sampled state and on a priori knowledge about the plant. The proposed solution extends previous results on state feedback stabilization to the case of dynamic output feedback, and uses a triggering mechanism based on the decrease of a Lyapunov function between sampling times. Since only the sampled output of the plant is available, a discrete time state observer is required, the stability properties of which are analyzed by resorting to key concepts on the observability of discretized switched linear systems.