Design of novel optimal complex-order controllers for systems with fractional-order dynamics

Use of fractional-order controllers for fractional-order systems is now a well established field. Recently, there have been attempts to extend the concept of fractional-order control to complex-order control involving derivative and integral operators with complex-order ( q = u + i v ). The paper pr...

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Bibliographic Details
Published inInternational journal of dynamics and control Vol. 7; no. 1; pp. 355 - 367
Main Authors Tare, Arti V., Jacob, Joel A., Vyawahare, Vishwesh A., Pande, Vijay N.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 13.03.2019
Springer Nature B.V
Subjects
Caustic soda
Comparative studies
Complexity
Computer simulation
Control
Control and Systems Theory
Controllers
Derivatives
Dynamical Systems
Engineering
Genetic algorithms
Integrals
Operators (mathematics)
Vibration
Complex-order PID controller
Fractional-order system
Complex-order derivative
Genetic algorithms
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Summary:Use of fractional-order controllers for fractional-order systems is now a well established field. Recently, there have been attempts to extend the concept of fractional-order control to complex-order control involving derivative and integral operators with complex-order ( q = u + i v ). The paper presents the design of two new complex-order controllers using genetic algorithms. The performance of these two complex-order controllers is tested for various types of fractional-order plants. A comparative study between integer-order, fractional-order and the two new complex-order controllers is also presented. It is shown with simulations that complex-order controllers, owing to their increased flexibility, give superior closed-loop time-domain performances for these systems.
ISSN:2195-268X
2195-2698
DOI:10.1007/s40435-018-0448-5