Remote Stabilization Via Communication Networks With a Distributed Control Law

• Published in: IEEE transactions on automatic control Vol. 52; no. 8; pp. 1480 - 1485
• Main Authors: Witrant, E., Canudas-de-Wit, C., Georges, D., Alamir, M.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.08.2007; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Automatic; Automatic control; Closed loop systems; Communication networks; Communication system control; Computer science; control theory; systems; Control system synthesis; Control systems; Control theory. Systems; Delay; Delay estimation; Delay systems; Distributed control; Dynamic tests; Dynamical systems; Dynamics; Engineering Sciences; Exact sciences and technology; Information technology; Informationsteknik; Law; Networked control systems; Open loop systems; Process control. Computer integrated manufacturing; Reglerteknik; Robustness; Stabilization; stabilization with time-varying delays; state predictor; System theory; TECHNOLOGY; TEKNIKVETENSKAP; Time varying systems; stabilization with time- varying delays; Networked control systems; Stabilization; Control program; Control synthesis; state predictor; Delay system; Distributed system; Communication network; Closed feedback; Time varying system; Uncertain system; Open systems; Open loop; Distributed control; Robustness
• ISSN: 0018-9286; 1558-2523; 1558-2523
• DOI: 10.1109/TAC.2007.902757

In this note, we investigate the problem of remote stabilization via communication networks involving some time-varying delays of known average dynamics. This problem arises when the control law is remotely implemented and leads to the problem of stabilizing an open-loop unstable system with time-varying delay. We use a time-varying horizon predictor to design a stabilizing control law that sets the poles of the closed-loop system. The computation of the horizon of the predictor is investigated and the proposed control law explicitly takes into account an estimation of the average delay dynamics. The resulting closed loop system robustness with respect to some uncertainties on the delay estimation is also considered. Simulation results are finally presented.