Implementation of fractional order systems based on FPGA

Nowadays, as the advantages of using chaotic systems in many scientific projects have been experienced, studies have increased to develop chaotic systems and make them more chaotic. In this study, firstly, the definition of fractional computation is made and then the fractional computation method made in the Matlab program to make chaotic systems fractional order has been mentioned. To develop chaotic systems, the block diagram of the mathematical model of the fractional chaotic system was created using the LabVIEW platform with a visual programming method. Real-time simulations were obtained on the LabVIEW platform by running the applications of the fractional order systems created on the LabVIEW platform by using the mathematical models of the fractional order systems. An image encryption application was made with this system, which was created in fractional order, and successful results were obtained. The main purpose of this study is the application of fractional order systems to the FPGA device. An FPGA device compatible with the LabVIEW platform is required to complete this application because fractional order systems are created with the LabVIEW program. In this study, myRIO 1900 FPGA device compatible with the LabVIEW program was used. To realize the FPGA application, first of all, on a separate platform required for the operation of the myRIO 1900 device within the LabVIEW environment, the previously created fractional order systems were rearranged and the results were obtained on the oscilloscope device by applying the fractional order systems to the FPGA device. The main purpose of applying these fractional order systems to the FPGA device and obtaining results on the oscilloscope is to show that the FPGA device is ready for use in applications to be made with fractional order systems.