Combined controller-observer design for uncertain time delay systems with application to engine idle speed control

This paper sets forth two approaches for a combined controller-observer design procedure for a class of uncertain time delay systems. The first procedure uses a delay-independent LMI (linear matrix inequality) formulation that sets forth sufficient conditions for the existence of appropriate feedback and observer matrices that guarantee asymptotic stability of the system-error dynamic combination. The second procedure generates a similar delay-dependent LMI. Standard toolboxes can be used to generate solutions to the LMIs when solutions exist. The observer-control design techniques are applied to an internal combustion (IC) engine idle speed control problem; simulation results demonstrate the effectiveness of the proposed techniques.