
Fig. 3.1.
General structure of FOPID Controller

Fig. 3.2.
The FOPID controller plane

Fig. 3.3.
Stability region of fractional order system

Fig. 4.1.
Example of universal blocks from FOMCON toolbox

Fig. 4.2.
Example of universal blocks from FOTF toolbox

Fig. 4.3.
Example of universal blocks from Ninteger toolbox

Fig. 5.1.
Distribution of potentials and currents in the ladder system [34]

Fig. 6.1.
Domino ladder system created in Simulink for α= 0.60

Fig. 6.2.
Comparison of the responses of the considered fractional-order models

Fig. 6.3.
Relative error of the considered fractional-order models

Fig. 6.4.
Comparison of the response of the system with a FOPID controller tuned by considering different integral indices

Fig. 7.1.
Example of QUARC blocks for real-time implementation

Fig. 7.2.
A flow chart of the procedure for implementing the control algorithm

Fig. 7.3.
Comparison of the simulation and real control plant responses for PID and FOPID controller

Fig. 7.4.
Comparison of control signals from PID and FOPID controller from the experiment