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Öğe Genetik algoritma ile düşük duyarlili?a sahip optimal fopid denetleyici tasarimi(Institute of Electrical and Electronics Engineers Inc., 2019) Tufenkci S.; Senol B.; Alagoz B.B.Researchers have demonstrated that Fractionalorder Proportional Integral Derivative (FOPID) controllers can provide superior control performance compared to classical PID controllers. This study presents an optimal FOPID controller design method in v-domain to achieve lower sensitivity to disturbance. For this purpose, an optimal FOPID controller design method is proposed, where a multi-objective optimization problem, which reduces sensitivity of system to external disturbances and stabilizes the system, is defined and solved by Genetic Algorithm (GA). This design is performed in the stability region of the first Riemann Sheet in v-plane. To increase system robustness against disturbances, sensitivity function of the system is minimized. Hence, a multi-objective optimization problem, which is solved by GA algorithm, is stated for placement of minimum angle system pole to a target angle within the stability region and minimization of system sensitivity function. Thus, for fractional order systems, FOPID controller design can be performed in v-domain. An illustrative design example and comparison of the resulting design with other design methods are presented. © 2019 IEEE.Öğe Value Set-Based Numerical Analysis of Robust Stability for Fractional-Order Retarded Quasi-Polynomials with Uncertain Parameters and Uncertain Fractional Orders(Springer Science and Business Media Deutschland GmbH, 2021) Matuš? R.; Senol B.; Alagoz B.B.; Ates A.This example-oriented contribution deals with the value set-based numerical analysis of robust stability for the family of fractional-order retarded quasi-polynomials with both uncertain parameters and uncertain fractional orders. The specific investigated feedback control system consists of the fractional-order PID controller and the controlled plant, represented by a heat transfer process described by the linear time-invariant fractional-order time-delay model with parametric uncertainty (with three uncertain parameters, namely, gain, fractional time constant, and fractional time-delay term, and furthermore two fractional orders). The graphical robust stability analysis is based on the numerical calculation of the value sets and the application of the zero exclusion principle. © 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.