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State dependent sampling: an LMI based mapping approach

Christophe Fiter 1, * Laurentiu Hetel 1 Wilfrid Perruquetti 1, 2, 3 Jean-Pierre Richard 1, 2, 3 
* Corresponding author
1 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
2 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : The uprising use of embedded systems and Networked Control Systems (NCS) requires reductions of the use of processor and network loads. In this work, we present a state dependent sampling control that maximizes the sampling intervals of state feedback control. We consider linear time invariant systems and guarantee the exponential stability of the system origin for a chosen decay rate alpha. The proof of the alpha-stability is based on a quadratic Lyapunov function which is computed, thanks to LMIs, so as to optimize some performance criterion on the sampling intervals. A mapping of the state space is then designed offline: it computes for each state of the state space the maximum allowable sampling interval, which makes it possible to reduce the number of actuations during the real-time control of the system.
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Submitted on : Wednesday, June 22, 2011 - 7:13:40 PM
Last modification on : Tuesday, November 22, 2022 - 2:26:15 PM
Long-term archiving on: : Friday, September 23, 2011 - 2:26:19 AM


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  • HAL Id : inria-00602567, version 1


Christophe Fiter, Laurentiu Hetel, Wilfrid Perruquetti, Jean-Pierre Richard. State dependent sampling: an LMI based mapping approach. 18th IFAC World Congress (IFAC '11), Aug 2011, Milan, Italy. ⟨inria-00602567⟩



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