Publication

Abstract : Fractional-order systems are receiving much attention because they can accurately model complex physical phenomena. These systems are more versatile than their real-order counterparts, making them ideal for system modelling. However, designing and implementing fractional-order dynamical systems with complex orders can take time due to the need for commercially available complex-order fractance elements. This shows an opportunity to propose an approximation technique for complex-order dynamical systems. Nevertheless, it is essential to note that existing literature on approximation techniques may generate unstable and non-minimum phase systems. This paper proposes a novel approach to estimating fractional-order dynamical systems that have complex orders. The method uses frequency response data and is practical and efficient, making it helpful in analyzing and designing systems. With this technique, it’s possible to create stable and minimum-phase approximations for complex-order systems of any order. The comparison of our proposed approach with various techniques found in the literature shows that the presented method performs the best. The accuracy and reliability of the proposed approach have been demonstrated through simulation results on different types of dynamical systems, suggesting its potential for various applications concerning fractional-order dynamical systems with complex orders.