Asymptotic Unknown Input Decoupling Observer for Discrete-Time LTI Systems

Abstract : This paper addresses a new observer structure and its corresponding design for LTI discrete-time systems affected by Unknown Inputs (UI). We show that the performances of standard 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 LMI formalism.
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Dalil Ichalal, Saïd Mammar. Asymptotic Unknown Input Decoupling Observer for Discrete-Time LTI Systems. 58th IEEE Conference on Decision and Control (CDC 2019), Dec 2019, Nice, France. ⟨hal-02444773⟩

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