Continuous time observers of nonlinear systems with data-rate constraints

Quentin Voortman (Corresponding author), Alexander Pogromsky, Alexey Matveev, Henk Nijmeijer

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Abstract

In this paper, we present the design of a non-classical observer that constructs estimates of the state of continuous nonlinear systems at remote locations. The system is connected to the remote location through a communication channel which can only transmit limited amounts of data per unit of time. The observer is designed with the objective that it is as data-efficient as possible whilst possessing a certain robustness towards communication losses without any feedback in the communication channel. We provide bounds for the sufficient data-rate to implement the observer. We apply the theory to the problem of observing the Lorenz system over a channel with minimal data-rates.

Original languageEnglish
Pages (from-to)192-197
Number of pages6
JournalIFAC-PapersOnLine
Volume51
Issue number33
DOIs
Publication statusPublished - 1 Jan 2018
Event5th IFAC Conference on Analysis and Control of Chaotic Systems (IFAC CHAOS 2018)
- Eindhoven, Netherlands
Duration: 30 Oct 20181 Nov 2018
https://chaos2018.dc.wtb.tue.nl/

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Keywords

  • Continuous systems
  • Limited data rate
  • Nonlinear systems
  • Observers
  • State estimation

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