Skip to Main content Skip to Navigation
New interface
Journal articles

Asymptotic Unknown Input Decoupling Observer for Discrete-Time LTI Systems

Abstract : This letter addresses a new observer structure and its corresponding design for linear time invariant discrete-time systems affected by unknown inputs (UIs). We show that the performances of standard unknown input observer (UIO) can be enhanced, especially, in the presence of stable invariant zeros with slow dynamics (detectable systems). Under mild condition, the proposed UIO design avoids the drawback of the invariant zeros, at least in a time interval, and allows to arbitrary place the eigenvalues during that interval. The main idea is to relax the exact UI decoupling condition for an asymptotic decoupling condition. The convergence analysis is analyzed using the Lyapunov theory and the asymptotic convergence conditions of the state estimation error are expressed in linear matrix inequality formalism.
Document type :
Journal articles
Complete list of metadata
Contributor : Frédéric Davesne Connect in order to contact the contributor
Submitted on : Tuesday, August 27, 2019 - 2:32:18 PM
Last modification on : Monday, December 13, 2021 - 9:17:13 AM

Links full text



Dalil Ichalal, Saïd Mammar. Asymptotic Unknown Input Decoupling Observer for Discrete-Time LTI Systems. IEEE Control Systems Letters, 2020, 4 (2), pp.361--366. ⟨10.1109/LCSYS.2019.2929351⟩. ⟨hal-02272050⟩



Record views