Robust tracking system for a standard signal of linear dynamic object with the distributed lag

The robust control system of the object, the dynamic processes of which are described by a linear equation with distributed delay, is proposed. The control algorithm, proposed earlier by the author, for the objects with state lag in order to use it in the development of the robust control systems with distributed lag is considered. To solve the problem of tracking the reference signal, a specially selected auxiliary circuit and monitors of the variables are used; it helps actualize the control purpose with a given dynamic accuracy. A numerical example of the system for tracking the reference signal of the linear object with distributed lag in conditions of disturbances is given, simulation in Simulink Matlab is made. The simulation results confirmed the theoretical conclusions and showed the efficiency of the proposed control system in permanent external and parametric disturbances. The mathematical models, including the distributed lag, are used in such fields as biology, neuroscience, physics and economics. Accounting for a distributed lag model allows us to make these systems corresponding to reality, which causes the relevance of the result.