inria-00335936, version 1
A Lie Algebraic Approach to Design of Stable Feedback Control Systems with Varying Sampling Rate
Flavia Felicioni 1, 2Sergio J. Junco 2
17th International Federation of Automatic Control - IFAC 2008 World Congress (2008)
Résumé : This paper addresses the design of a controller family that, given a continuous-time linear plant sampled at a varying rate, asymptotically stabilizes the closed loop. Under the assumption of having a finite and known set of allowable sampling intervals, the problem is formulated as that of stabilizing a discrete-time switched system (DTSS). The solution approach consists in choosing the controller parameters in order for the Lie algebra generated by the closed-loop DTSS-matrices to be solvable, as this property guarantees the existence of a common Lyapunov function for the control system. The results can be applied to design digital controllers sharing resources, as it is the case of networked control systems, where the need of adapting the rate of task scheduling may originate significant sampling time variations.
- 1 : TRIO (INRIA Lorraine - LORIA)
- INRIA – CNRS : UMR7503 – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)
- 2 : Departamento de Electrónica, Facultad de Ciencias Exactas, Ingeniería y Agrimensura
- Universidad Nacional de Rosario
- Domaine : Informatique/Automatique
- inria-00335936, version 1
- http://hal.inria.fr/inria-00335936
- oai:hal.inria.fr:inria-00335936
- Contributeur : Flavia Felicioni
- Soumis le : Vendredi 31 Octobre 2008, 11:26:44
- Dernière modification le : Mercredi 10 Décembre 2008, 19:24:13