Unknown input reduced order observer for singular bilinear systems with bilinear measurements
Résumé
In this paper, a method to design a reduced-order unknown input observer (UIO) for bounded control input singular bilinear systems (SBS) with bilinear measurements and subjected unknown disturbances is investigated. The design of this UIO is divided into two parts. The first one consists in solving some algebraic constraints to obtain an observation error which is decoupled from the unknown disturbances. In the second part, an LMI is solved to ensure the exponential stability of the reconstruction error for all admissible control inputs and unmeasurable disturbances.