On the Morgan's problem for neutral time delay systems via dynamic controllers with application to a test case central heating system

The Morgan's problem is investigated, using a realizable controller with dynamic measurement output feedback and dynamic precompensator for the general class of linear neutral multi delay systems. It is proven that the necessary and sufficient condition for the solvability of the problem via a realizable controller is independent of the realizability requirement and it is the right invertibillity of the open loop transfer matrix. A class of controllers solving the problem is explicitly determined. The proposed technique is applied to a test case central heating system to achieve thermal autonomy. Based on the dynamic model of the heating system the performance of the proposed control scheme is successfully illustrated through computational experiments.