Robust State Estimator Design for Systems with Unknown Exogenous Inputs: A Risk-Sensitive Approach

Jiarao Huang, Dawei Shi, Tongwen Chen

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)

Abstract

In this paper, a robust state estimation problem for discrete-time systems with unknown exogenous inputs is investigated utilizing a risk-sensitive filtering approach. By proposing a Radon-Nikodym derivative, we introduce a reference measure under which the measurement and system state become independent. Based on this independent property and by treating the unknown inputs as a process modeled by a non-informative prior, we derive the reformulated risk-sensitive cost criterion under the reference measure and further propose a recursive algorithm for the risk-sensitive state estimate. A simulation example is provided to validate the theoretical results, where the proposed estimator is shown to outperform the MMSE estimator for unknown input case under the scenario subject to system parameter uncertainties.

Original languageEnglish
Title of host publication2018 IEEE 14th International Conference on Control and Automation, ICCA 2018
PublisherIEEE Computer Society
Pages136-141
Number of pages6
ISBN (Print)9781538660898
DOIs
Publication statusPublished - 21 Aug 2018
Externally publishedYes
Event14th IEEE International Conference on Control and Automation, ICCA 2018 - Anchorage, United States
Duration: 12 Jun 201815 Jun 2018

Publication series

NameIEEE International Conference on Control and Automation, ICCA
Volume2018-June
ISSN (Print)1948-3449
ISSN (Electronic)1948-3457

Conference

Conference14th IEEE International Conference on Control and Automation, ICCA 2018
Country/TerritoryUnited States
CityAnchorage
Period12/06/1815/06/18

Keywords

  • Riccati equations
  • Unknown exogenous inputs
  • reference measure
  • risk-sensitive filtering
  • robust estimation

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