Abstract—In this paper, the application of Dominant Gain Concept for controlling time delay processes is considered from a new viewpoint. In this viewpoint, time delay is considered as function with infinite Right Half Plane (RHP) zeros which are transferred to the Left Half Plane by adding a proper transfer function to the open loop function. Furthermore, by defining a new concept, called minimum-gain frequency, the propositions for control system stability and the manner of choosing order and gain of the added transfer function are proved. Also, the application of this method is studied in order to simultaneously compensate for the Right Half Plane zeros and time-delay. Finally, easy application of this method is shown in an ordinary feedback loop as a PID controller.
Index Terms—Dominant gain, PID controller, Right half plane zeros, Time delay compensator.
M. Esmaeli is with the National Petrochemical Company (corresponding author to provide phone: 0982184994273; fax: 09821880601290; e-mail: m.esmaeli@ nipc.net).
M. shirvani, is with the the Dept. of Chem. Eng., Iran University of Science & Technology (e-mail: shirvani.m@iust.ac.ir).
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Cite: M. Esmaeli and M. Shirvani, "Application of a dead time compensator as a PID controller," International Journal of Chemical Engineering and Applications vol. 2, no. 3, pp. 157-163, 2011.
