Event-based state estimation of linear dynamic systems with unknown exogenous inputs

• Dawei Shi ^[1] ; Tongwen Chen ^[2] ; Mohamed Darouach ^[3]
  1. [1] Beijing Institute of Technology

     Beijing Institute of Technology

     China

     
  2. [2] University of Alberta

     University of Alberta

     Canadá

     
  3. [3] University of Lorraine

     University of Lorraine

     Arrondissement de Nancy, Francia

     

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• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 69, 2016, págs. 275-288
• Idioma: inglés
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• Resumen

  • In this work, an event-based optimal state estimation problem for linear-time varying systems with unknown inputs is investigated. By treating the unknown input as a process with a non-informative prior, the event-based minimum mean square error (MMSE) estimator is obtained in a recursive form. It is shown that for the general time-varying case, the closed-loop matrix of the optimal event-based estimator is exponentially stable and the estimation error covariance matrix is asymptotically bounded for each sample path of the event-triggering process. The results are also extended to the multiple sensor scenario, where each sensor is allowed to have its own event-triggering condition. The efficiency of the proposed results is illustrated by a numerical example and comparative simulation with the MMSE estimators obtained based on time-triggered measurements. The results are potentially applicable to event-based secure state estimation of cyber-physical systems.