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Fractional-Order Chaotic/Hyper-chaotic Oscillators
Published in Esteban Tlelo-Cuautle, Luis Gerardo De La Fraga, Omar Guillén-Fernández, Alejandro Silva-Juárez, Optimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and their Electronic Realization, 2021
Esteban Tlelo-Cuautle, Luis Gerardo De La Fraga, Omar Guillén-Fernández, Alejandro Silva-Juárez
The fractional-order integrator can be approached by different methods in the frequency domain and the resulting transfer function can be synthesized by integer-order blocks that can be implemented by commercially available amplifiers or into an FPAA. For instance, Charef approximated the derivatives and integrators grators of fractional-orders from 0.1 to 0.9 in steps of 0.1, as detailed in [76]. By applying Charef’s approximations, several implementations of fractional-order chaotic oscillators have been introduced, for example: the authors in [77, 78] performed implementations of incommensurate fractional-order systems, and also fractional-order hyper-chaotic oscillators have been implemented in [79, 80].
OTA-C Realization of An Optimized FOPID Controller for BLDC Motor Speed Control
Published in IETE Journal of Research, 2023
Mary Ann George, Dattaguru V. Kamat, Thirunavukkarasu Indiran
The fractional-order elements such as fractional-order integrator and the derivative operators are numerically dependent on the fractionally derived function’s past values. Hence, implementing the ideal/ near-ideal fractional-order elements in digital form requires high computational resources and high memory capacity to store past value. This can lead to an effect known as the long-memory effect and increases the realization cost in digital controllers. Hence, analog integrated circuit realization can give a practical and effective solution in realizing low-cost near-ideal fractional-order elements [11]. Many active blocks like op-amps, second-generation current conveyors (CCIIs), OTAs, and current feedback operational amplifiers (CFOAs) have been used to realize FOI and FOD, which are the basic building blocks of a FOPID controller [12].
Assessment of Amelioration in Frequency Regulation by deploying Novel Intelligent based Controller with Modified HVDC Tie-Line in Deregulated Environment
Published in Smart Science, 2023
PID controller is a traditional and popular controller which is a great solution for complex engineering problems. But it suffers from noise due to the presence of a derivative controller. This is mitigated by adding a noise filter along with a derivative controller. It is further improved by replacing the simple integral controller with the fractional-order integrator, which enhances the transient response by providing freedom in selecting the order integrator. The expression for PIλDN is given as;
Advanced STATCOM Control with the Optimized FOPTID-MPC Controller
Published in IETE Journal of Research, 2023
Kenan Yanmaz, Onur Ozdal Mengi, Erdinc Sahin
The fractional-order operator means a fractional-order integrator or differentiator action. The dynamic systems or controllers can consist of fractional-order operators. With the help of two extra degrees of freedom from the fractional orders of the operators, an improvement in system modeling and controller design can be achieved [35].