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Optimal Control with Packet Drops in Networked Control Systems

Flavia Felicioni 1 François Simonot 2 Françoise Simonot-Lion 1 Ye-Qiong Song 1 
1 TRIO - Real time and interoperability
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : The stability and performance of a networked control system are strongly influenced by the network delay and packet drops. In this paper, we consider that late arrived sampling data are dropped, so that we only focus on the analysis of the impact of packet drop sequences on the control loop stability and performance. For any dropping sequence specified by (m,k)-firm model, and considering a simple mono-variable linear system with a proportional controller and zero control action in case of sampling data drop, we derived the stability conditions based on the upper bound of the plant state variance. It has been shown that the stability only depends on the values of m and k but not the pattern of the dropping sequence. In case of network overload, this gives much freedom to actively dropping some packets while still keeping the system stable. An analytic method to determine the optimal control gain for any given packet drop pattern is also derived, providing thus a guideline for optimal control and network resource scheduling co-design.
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Contributor : Françoise Simonot-Lion Connect in order to contact the contributor
Submitted on : Sunday, November 29, 2009 - 11:41:12 AM
Last modification on : Friday, February 4, 2022 - 3:34:51 AM
Long-term archiving on: : Thursday, June 17, 2010 - 8:08:27 PM


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  • HAL Id : inria-00431406, version 1



Flavia Felicioni, François Simonot, Françoise Simonot-Lion, Ye-Qiong Song. Optimal Control with Packet Drops in Networked Control Systems. 8th IFAC International Conference on Fieldbuses & Networks in Industrial & Embedded Systems (FET'2009), May 2009, Hanyang, South Korea. pp.64-71. ⟨inria-00431406⟩



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