Luenberger-type interval observer for continuous-time perturbed singular systems

In this paper, a Luenberger-type interval observer (IO) based parametric design method is proposed for singular systems with bounded uncertainties. First, the existence condition of such an IO is formulated as the matrix equations (MEs) with a constraint coefficient, and it demands no additional limitation on the measurement noise except for its boundary values. By introducing the transformation of coordinates, we further relax the above coefficient constraint, thus guaranteeing the existence of solutions to the IOs under the common observable condition. By solving the MEs, a parametric rank condition is derived as the IO design criterion, which clearly shows the available design parameters, and a more convenient construction solution is further obtained by applying the matrix block decomposition. Finally, the comparison simulations emphasize the advantages of the obtained results over existing ones.