Practitioners of feedback control design often must spend a great deal of time and effort dealing with the complexities of deterministic, or “real time” computing. In this paper, we argue that if certain conditions are met, stable feedback control is possible under non-deterministic conditions. In particular, certain classes of linear systems may be uniformly exponentially stabilized by placing the closed-loop poles within an “osculating circle” if the statistics of the controller’s sampling times are known.
- Dynamic Systems and Control Division
Is Deterministic Real Time Control Always Necessary? A Time Scales Perspective
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Poulsen, D, Gravagne, I, & Davis, JM. "Is Deterministic Real Time Control Always Necessary? A Time Scales Perspective." Proceedings of the ASME 2014 Dynamic Systems and Control Conference. Volume 3: Industrial Applications; Modeling for Oil and Gas, Control and Validation, Estimation, and Control of Automotive Systems; Multi-Agent and Networked Systems; Control System Design; Physical Human-Robot Interaction; Rehabilitation Robotics; Sensing and Actuation for Control; Biomedical Systems; Time Delay Systems and Stability; Unmanned Ground and Surface Robotics; Vehicle Motion Controls; Vibration Analysis and Isolation; Vibration and Control for Energy Harvesting; Wind Energy. San Antonio, Texas, USA. October 22–24, 2014. V003T41A002. ASME. https://doi.org/10.1115/DSCC2014-6093
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