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Explicit Reference Governor for the Constrained Control of Linear Time-Delay Systems

par Nicotra, Marco ;Nguyen, Tâm Willy ;Garone, Emanuele ;Kolmanovsky, Ilya I.V.
Référence IEEE transactions on automatic control, 64, 7, page (2883-2889), 8477057
Publication Publié, 2019-07-01

Article révisé par les pairs

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Résumé :

This paper introduces an explicit reference governor to supervise closed-loop linear time-delay systems. The proposed scheme enforces state and input constraints by modifying the reference of the supervised system so that the state vector always belongs to admissible sublevel sets of a suitably defined Lyapunov-Krasovskii functional. To accomplish this, this paper extends the existing definition of 'dynamic safety margin' to a time-delay setting and illustrates how to employ classic Lyapunov-Krasovskii functionals even though the reference is time varying. Constraint enforcement for arbitrary reference signals and asymptotic convergence to any strictly steady-state admissible set point is rigorously proven. Experimental results are reported to demonstrate the simplicity, practicality, and robustness of the proposed method.