A Convex Optimization Approach to Feedback Scheduling

Mohamed El Mongi Ben Gaïd 1, 2 Daniel Simon 1 Olivier Sename 3
1 NECS - Networked Controlled Systems
Inria Grenoble - Rhône-Alpes, GIPSA-DA - Département Automatique
3 GIPSA-SLR - SLR
GIPSA-DA - Département Automatique
Abstract : Adaptive tasks scheduling via feedback is an effective solution for the optimization of closed-loop control performance under computing power limitation, as in the computing nodes of embedded networked control systems. The problem of the feedback scheduling of a set of Linear-Quadratic controllers, based on both plant-state and resource utilization measurements is considered. The proposed feedback scheduler acts on tasks periods in order to minimize a quadratic cost functional over an infinite horizon, for the overall system, and to achieve a desired processor utilization. Based on Karush-Kuhn-Tucker conditions, it is shown that if Riccati matrix coefficients may be approximated using parabolic functions of the sampling frequency, the expressions of optimal sampling frequencies may be computed analytically. Examples where these approximations hold are presented and the approach is illustrated on a simulation example.
Type de document :
Communication dans un congrès
16th Mediterranean Conference on Control and Automation (MED'08), Jun 2008, Ajaccio, France. Proceedings, 2008
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https://hal.inria.fr/inria-00276005
Contributeur : Mohamed El Mongi Ben Gaid <>
Soumis le : dimanche 11 mai 2008 - 07:00:06
Dernière modification le : jeudi 11 octobre 2018 - 20:45:17
Document(s) archivé(s) le : vendredi 28 mai 2010 - 17:49:23

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  • HAL Id : inria-00276005, version 1

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Mohamed El Mongi Ben Gaïd, Daniel Simon, Olivier Sename. A Convex Optimization Approach to Feedback Scheduling. 16th Mediterranean Conference on Control and Automation (MED'08), Jun 2008, Ajaccio, France. Proceedings, 2008. 〈inria-00276005〉

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