Publication | Peer Reviewed Scientific Journals | Potentiale, Bioenergiesysteme, Logistik

An unknown input observer for linear time-invariant multivariable systems based on a new observability canonical form

Published 6 April 2022

Citation: Niederwieser H, Seeber R, Reichhartinger M. An unknown input observer for linear time-invariant multivariable systems based on a new observability canonical form. 2022

Abstract

This paper presents a new observer design approach for linear time invariant multivariable systems subject to unknown inputs. The design is based on a transformation to the so-called special coordinate basis. This form reveals important system properties like invertability or the finite and infinite zero structure. Depending on the system's strong observability properties, the special coordinate basis allows for a straightforward unknown input observer design utilizing linear or nonlinear observers design techniques. The chosen observer design technique does not only depend on the system properties, but also on the desired convergence behavior of the observer. Hence, the proposed design procedure can be seen as a unifying framework for unknown input observer design.

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