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Coefficient Diagram Method Based Decentralized Controller for Fractional Order TITO Systems
(2022) Bulut, Miray Günay; Deniz, Furkan Nur
Fractional calculus has gained increasing attention from researchers because of providing accurate modelling and flexible controller design in control applications. More research to design controllers for Fractional Order Two-Input Two-Output (FOTITO) systems, which inherently have certain difficulties, is needed when the studies on such control applications are reviewed. In this study, Coefficient Diagram Method (CDM) based decentralized controllers are designed for FOTITO systems. To this end, integer order approximate models of FOTITO systems are obtained and decoupled into two subsystems by using simplified and inverted decoupling configurations. The resulting higher-order approximate subsystem transfer functions are reduced by a model reduction method to facilitate CDM-based decentralized controllers design. Then, CDM-based decentralized controllers are designed by using each subsystem, which enable to control the FOTITO system. Simulation results for two different FOTITO systems, one of which is time delayed, show that the proposed approach exhibits successful performance.