Synthesis of Control System of Heat and Power Object with Distributed Parameters on the Basis of Matrix Polynomial Models

The article presents a method of integrating control systems in heat and power applications with distributed parameters using matrix polynomial models. They speak about the consideration of complex phenomena such as heat exchange and conduction for introducing the improvement in control. It also allows achieving better modeling of the system's behavior while maintaining stability and minimizing transients. The work also builds the approach converting systems of equations into matrix polynomial ones that helps perform computational analysis and synthesis of controllers. By simulation modeling, the efficiency of this method is proved, showing that it is equally suitable to cope with external interferences as well as increase the degree of control precision. The consequences of the study suggest that matrix polynomial models will enhance the effective control of thermal power facilities as it minimizes energy losses.