Numerical approximation of the data-rate limit for state estimation under communication constraints

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:473

Article

Hafstein, Sigurdur¹  Kawan, Christoph² 

[1] Univ Iceland, Fac Phys Sci, Dunhagi 5, IS-107 Reykjavik, Iceland

[2] Univ Passau, Fak Informat & Math, Passau, Germany

关键词: State estimation;    Data-rate constraints;    Restoration entropy;    Lyapunov-type functions;    Numerical computation;    Lorenz system;   

DOI  :  10.1016/j.jmaa.2019.01.022

来源: Elsevier

【 摘 要 】

In networked control, a fundamental problem is to determine the smallest capacity of a communication channel between a dynamical system and a controller above which a prescribed control objective can be achieved. Often, a preliminary task of the controller, before selecting the control input, is to estimate the state with a sufficient accuracy. For time-invariant systems, it has been shown that the smallest channel capacity C-0 above which the state can be estimated with an arbitrarily small error, depending on the precise formulation of the estimation objective, is given by the topological entropy or a quantity named restoration entropy, respectively. In this paper, we propose an algorithm that computes rigorous upper bounds of C-0, based on previous analytical estimates. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free