The Design of Reduced Order Luenberger Observers with Precise LTR

This work concerns the design of reduced-order observers for controllable, observable, and regular systems in which the number of measurements is more than the number of controls. It uses eigenstructure assignment whereas other approaches use Kalman filter (LQG/LTR) methods. The advantages of this approach are: (1) precise LTR rather than approximate LTR, (2) no restriction to minimum phase systems, (3) finite observer gain rather than asymptotic observer gain, and (4) simpler and more efficient numerical calculation. Case studies are presented illustrating these features in aircraft control applications.