Design of Full‐Order Observers for Systems with Unknown Inputs by Using the Eigenstructure Assignment

In this paper a full‐order observer is suggested in order to achieve finite‐time reconstruction of the state vector for a class of linear systems with unknown inputs. The proposed design procedure is a combination of the approaches proposed by Lin & Wang [1] and Trinh & Ha [2]. The resulted observer has been improved, from the robustness point of view, by this paper's authors by using a novel and efficient method; it consists of adding three robustness terms which cancel the negative effect of the uncertainties which can appear in the system. The effectiveness of the suggested design algorithm is illustrated by a numerical example (aircraft lateral motion).