Zonotopic Kalman Filter-based Interval Estimation for Discrete-Time Linear Systems with Unknown Inputs - Cnam - Conservatoire national des arts et métiers
Journal Articles IEEE Control Systems Letters Year : 2021

Zonotopic Kalman Filter-based Interval Estimation for Discrete-Time Linear Systems with Unknown Inputs

Abstract

This letter proposes an unknown input zonotopic Kalman filter-based interval observer for discrete-time linear time-invariant systems. In such contexts, a change of coordinates decoupling the state and the unknown inputs is often used. Here, the dynamics are rewritten into a discrete-time linear time-invariant descriptor system by augmenting the state vector with the unknown inputs. A zonotopic outer approximation of the feasible state set is then obtained with a prediction-correction strategy using the information from the system dynamics, known inputs and outputs. Bounds for both the state and unknown inputs are obtained from this zonotopic set. The efficiency of the proposed interval observer is assessed with numerical simulations.
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Dates and versions

hal-03239436 , version 1 (07-07-2021)

Identifiers

Cite

Thomas Chevet, Thach Ngoc Dinh, Julien Marzat, Zhenhua Wang, Tarek Raïssi. Zonotopic Kalman Filter-based Interval Estimation for Discrete-Time Linear Systems with Unknown Inputs. IEEE Control Systems Letters, 2021, 6, pp.806 - 811. ⟨10.1109/LCSYS.2021.3086562⟩. ⟨hal-03239436⟩
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