SPECTRAL METHOD OF ANALYSIS AND SYNTHESIS FOR SPATIALLY TWO-DIMENSIONAL DISTRIBUTED CONTROL SYSTEMS
The main theoretical positions of the spectral method for spatially two-dimensional distributed plant defined in a cylindrical coordinate system are presented. A transition from the mathematical model of a distributed system in the form of a partial differential equation to a mathematical model in the Cauchy form is made on the basis of the spectral method. The infinite state vector of this new representation is the spectral characteristic vector. A regulator for the spatially two-dimensional distributed system of regulation of the temperature field of a heating oil flow unit prior its transportation is synthesized.