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In the present paper the problem of disturbance rejection of single input-single output neutral time delay systems with multiple measurable disturbances is solved via dynamic controllers. In particular, the general form of the controller matrices is presented, while the necessary and sufficient conditions for the controller to be realizable are offered. The proposed technique is applied to a test case neutral time delay central heating system. In particular, the nonlinear model of the plant and its linearized approximation are presented. Based on the linearized model, a two-stage controller is designed in order to regulate the room temperature and the boiler effluent temperature. The performance of the closed loop system is investigated through computational experiments.

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For a test-case central heating plant, modelled as a non-linear neutral time delay system, a metaheuristic proportional-integral-derivative (PID) control scheme is proposed to control the temperature of the room using as a sole actuatable input the energy supplied to the boiler. The control scheme is based on a neutral time delay description of the linearized approximation of the process. The linearization is tested using a Euclidian norm type of error, with emphasis on the performance variable of the system, to show that it is an accurate approximation of the original process for a wide range of variables of the plant. The performance of the closed-loop system is examined via simulation experiments.