Detectability Analysis and Observer Design for Linear Time Varying Systems

Research output: Contribution to journalArticleResearchpeer-review

Abstract

This letter presents a new detectability criterion and a new observer design method for a class of linear time varying systems. The concept is based on the stabilization of the system’s non-negative Lyapunov exponents. The proposed observer design guarantees exponential convergence of the estimation error. Compared to classical techniques, the computational complexity of the resulting observer is drastically reduced if the number of non-negative Lyapunov exponents is small compared to the system order. A numerical simulation example demonstrates the effectiveness of the proposed approach.
Original languageEnglish
Pages (from-to)331-336
JournalIEEE Control Systems Letters
Volume4
Issue number2
DOIs
Publication statusPublished - 2020
Event58th Conference on Decision and Control - Nice, France
Duration: 11 Dec 201913 Dec 2019

Fingerprint

Linear Time-varying Systems
Observer Design
Detectability
Time varying systems
Lyapunov Exponent
Non-negative
Exponential Convergence
Estimation Error
Error analysis
Design Method
Observer
Computational complexity
Computational Complexity
Stabilization
Numerical Simulation
Computer simulation
Demonstrate
Concepts
Class

Keywords

  • Time-varying systems
  • observers for linear systems
  • Lyapunov exponents

Cite this

Detectability Analysis and Observer Design for Linear Time Varying Systems. / Tranninger, Markus; Seeber, Richard; Zhuk, Sergiy; Steinberger, Martin; Horn, Martin.

In: IEEE Control Systems Letters, Vol. 4, No. 2, 2020, p. 331-336.

Research output: Contribution to journalArticleResearchpeer-review

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