Detectability Conditions and State Estimation for Linear Time-Varying and Nonlinear Systems

Research output: Contribution to journalArticlepeer-review

Abstract

This work proposes a detectability condition for linear time-varying systems based on the exponential dichotomy spectrum. The condition guarantees the existence of an observer, whose gain is determined only by the unstable modes of the system. This allows for an observer design with low computational complexity compared to classical estimation approaches. An extension of this observer design to a class of nonlinear systems is proposed, and local convergence of the corresponding estimation error dynamics is proven. Numerical results show the efficacy of the proposed observer design technique.
Original languageEnglish
Pages (from-to)2514 - 2537
Number of pages23
JournalSIAM Journal on Control and Optimization
Volume60
Issue number4
DOIs
Publication statusPublished - 22 Aug 2022

Fields of Expertise

  • Information, Communication & Computing

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