A Periodic Output Feedback Stabilization Scheme with Non-Simultaneous Sensing and Actuation
Résumé
In this work, an output feedback control scheme is proposed for the stabilization of a continuous-time LTI system characterized by non-simultaneous sensing and actuation. Using a Gramian-based framework, a periodically repeating time window is divided into a sensing phase, where the state is reconstructed by filtering the output, and an actuation phase, where the state is driven to a target point balancing the control effort and the stabilization goal. The overall control architecture is cast as a well-posed hybrid dynamical system, providing a convenient tool for proving robust global exponential stability.
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