Autors: Rakov, B. Y., Ruzhekov, G. T. Title: H∞ Multivariable PID Control of a Thermal Plant Keywords: H∞, fixed structure, multivariable, PID, PLC Abstract: The current paper investigates the possibility to design a discrete multivariable H∞ PID controller using the MATLAB hinfstruct() function. Two PIDs are designed. They are compared against a full order H∞ controller and a decentralized PID with a static decoupling matrix. Frequency response of the singular values of the closed loop sensitivity functions are calculated and compared. All controllers are tested on a laboratory model, representing a thermal plant. The control algorithms are implemented on a Programmable Logic Controller. The elements of the multivariable PIDs are implemented using velocity form for simpler anti wind-up mechanism realization. The parameters are calculated by MATLAB and then transferred using OPC connection to a SCADA system. Two sets of experiments are conducted with the real system, testing two different sets of reference signal changes. Based on known performance criteria, a comparison is made. References Issue
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