Computational Observer Design Techniques in Linear Systems with Unknown Inputs using the Concept of Transmission Zeros

In this paper we present computational observer design techniques for linear systems subject to unknown inputs. Complete and intuitive geometric conditions for the solution of the problem are provided, which result in design matrix equations. These design equations are solved computationally efficient. The synthesis of the reduced-order observer takes full advantage of the concept of transmission zeros. In particular, the presented necessary and sufficient conditions are provided in terms of the transmission zeros of the triple (A,D,C).