Strong∗ detectability and observers for linear time-varying systems

Markus Tranninger*, Richard Seeber, Juan Gustavo Rueda-Escobedo, Martin Horn

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


This work presents a notion of strong detectability for linear time-varying systems affected by unknown inputs. It is shown that this notion is equivalent to detectability of an auxiliary system without unknown inputs. This allows a straightforward observer design for dependable state estimation in the presence of unknown inputs. The design reduces to a deterministic Kalman filter design problem, where the observer gains can be obtained from the solution of a differential Riccati equation. The efficacy of the proposed approach is demonstrated by means of two examples.
Original languageEnglish
Article number105398
Number of pages6
JournalSystems & Control Letters
Publication statusPublished - 9 Nov 2022

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  • Information, Communication & Computing


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