Simulation of robust algebraic control of a delayed heat exchanger with controller rationalization

Abstract

Concise complete controller design with simulations for a laboratory circuit heating plant with feedback delays is the aim of this contribution. The particular steps of the design include a mathematical modelling summary of then plant, introduction of relevant algebraic tools, robust controller design and tuning, its discretization and rational simplification. The plant model contains internal delays, thus, it is infinite-dimensional. A special ring of stable and proper quasipolynomial functions represent the main algebraic mean for controller structure design. A possible range of adjustable controller parameters is then limited by using the robust stability and performance analysis. Their eventual values are consequently obtained by simulations of control responses. A discretization of the resulting controller is suggested and a method for its rational simplification is verified by simulations in MATLAB® and Simulink®. All the obtained results are promising for a practical implementation of the presented approach. © ECMS Valeri M. Mladenov, Petia Georgieva, Grisha Spasov, Galidiya Petrova (Editors).