Data-rate constrained observers of nonlinear systems

Quentin Voortman (Corresponding author), Sasha Pogromskiy, A. Matveev, Henk Nijmeijer

Research output: Contribution to journalArticleAcademicpeer-review

10 Citations (Scopus)
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In this paper, the design of a data-rate constrained observer for a dynamical system is presented.
This observer is designed to function both in discrete time and continuous time. The system is connected to a remote location via a communication channel which can transmit limited amounts of data per unit of time. The objective of the observer is to provide estimates of the state at the remote location through messages that are sent via the channel. The observer is designed such that it is robust toward losses in the communication channel. Upper bounds on the required communication rate to implement the
observer are provided in terms of the upper box dimension of the state space and an upper bound on the largest singular value of the system’s Jacobian. Results that provide an analytical bound on the required minimum communication rate are then presented. These bounds are obtained by using the Lyapunov dimension of the dynamical system rather than the upper box dimension in the rate. The observer is tested through simulations for the Lozi map and the Lorenz system. For the Lozi map, the Lyapunov dimension is computed. For both systems, the theoretical bounds on the communication rate are compared to the simulated rates.
Original languageEnglish
Article number282
Number of pages29
Issue number3
Publication statusPublished - 14 Mar 2019


  • Data-rate constraints
  • Nonlinear systems
  • Observers


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