Stabilization of Fractional Order PID Controllers for Time-Delay Fractional Order Plants by Using Genetic Algorithm

This study presents a fractional order control system stabilization method for fractional order PID (FOPID) control systems with time-delay. This stabilization method implements pole placement strategy within the stability region of the first Riemann sheet to meet a predefined minimum angle characteristic root requirement. This strategy performs search to find out stabilizing FOPID controller coefficients by means of computational intelligence methods in order to achieve a target minimum root angle specification. For this purpose, genetic algorithm is employed to find controller coefficients that stabilize FOPID control system according to a minimum characteristic root target angle within the stability region. To demonstrate application of the proposed stabilization method, illustrative numerical examples were presented for stabilization problem of FOPID control systems for time-delay first order fractional order plant models.