On the mathematical properties of generalized fractional-order two-port networks using hybrid parameters

Linear passive and active electric circuits can be viewed as two-port networks -having two readily-accessible electrical terminals usually denoted as input and output ports. Two-port networks, also known as four-terminal networks, are usually represented using matrices which allow the network to be analyzed easily without getting through internal current and voltages. In this paper we present the mathematical properties of a generalized fractional-order two-port network represented as a symmetrical T-section through its hybrid parameters. © 2013 IEEE

Application of PID retuning method for laboratory feedback control system incorporating FO dynamics

Real objects in general are fractional-order (FO) systems, although in some types of systems the order is very close to integer order (IO). Since major advances have been made in the theory and practice of the identification of FO controlled objects and in the design of FO controllers, it is possible to consider also the real order of the dynamical systems and consider more quality criterion while designing the FO controllers with more degrees of freedom compared to their IO counterparts. In this paper, we present an application of the retuning method to design and apply new FO controller for the existing laboratory feedback control system with no modifications in the internal architecture of the original feedback control system. Along with the mathematical description, presented are also simulation results. © 2013 IEEE