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This study aims to compare the performance of the conventional and fractional order proportional-integral-derivative (PID and FOPID) controllers tuned with a particle swarm optimization (PSO) and genetic algorithm (GA) for quadrotor control.

In this study, the gains of the controllers were tuned using PSO and GA, which are included in the heuristic optimization methods. The tuning processes of the controller’s gains were formulated as optimization problems. While generating the objective functions (cost functions), four different decision criteria were considered separately: integrated summation error (ISE), integrated absolute error, integrated time absolute error and integrated time summation error (ITSE).

According to the simulation results and comparison tables that were created, FOPID controllers tuned with PSO performed better performances than PID controllers. In addition, the ITSE criterion returned better results in control of all axes except for altitude control when compared to the other cost functions. In the control of altitude with the PID controller, the ISE criterion showed better performance.

While a conventional PID controller has three parameters (Kp, Ki, Kd) that need to be tuned, FOPID controllers have two additional parameters (µ). The inclusion of these two extra parameters means more flexibility in the controller design but much more complexity for parameter tuning. This study reveals the potential and effectiveness of PSO and GA in tuning the controller despite the increased number of parameters and complexity.

The purpose of this paper is to monitor the backup indicators in case of indicator failure and to minimize the situations when the pilot may be unable to monitor the indicator effectively in emergency situations.

In this study, the pointer positions of different indicators were determined with a deep learning-based algorithm. Within the scope of the study, the pointer on the analog indicators obtained from aircraft cockpits was detected with the YOLOv4 object detector. Then, segmentation was made with the GrabCut algorithm to detect the pointer in the detected region more precisely. Finally, a line including the segmented pointer was found using the least-squares method, and the exact direction of the pointer was determined and the angle value of the pointer was obtained by using the inverse tangent function. In addition, to detect the pointer of the YOLOv4 object detection method and to test the designed method, a data set consisting of videos taken from aircraft cockpits was created and labeled.

The analog indicator pointers were detected with great accuracy by the YOLOv4 and YOLOv4-Tiny detectors. The experimental results show that the proposed method estimated the angle of the pointer with a high degree of accuracy. The developed method can reduce the workloads of both pilots and flight engineers. Similarly, the performance of pilots can be evaluated with this method.

The authors propose a novel real-time method which consists of detection, segmentation and line regression modules for mapping the angle of the pointers on analog indicators. A data set that includes analog indicators taken from aircraft cockpits was collected and labeled to train and test the proposed method.

Macro models are being developed in Islamic economics literature. These models, in general, follow the program of Islamization of knowledge and combine the genuine characteristics of Islamic economics with the tools of mainstream economics. The founding leader of Millî Görüs movement in Turkey, Necmettin Erbakan, and a group of Islamic intellectuals, had developed an economic program known as the just system. This paper aims to attempt to model the just economic system (the JES) with appropriate econometric techniques.

This paper models the macroeconomics of the JES with linear equations and conducts a series of simulations to identify its outputs. Based on the closed economy assumption, this paper describes the production function with a government share, defines a charitable foundation sector, exclude the speculation motive in money demand. Savings are transferred into investments without interest. This paper also develops an econometric simultaneous-equation model of the JES.

According to the results obtained from the selected simulation scenarios, this paper concludes that the macroeconomic JES works well and produces desirable outputs as it was stated in the original program.

In future studies, the econometric estimations of the JES can be made. By adding more equations to the simple model, a medium or large scale JES macroeconomic model can be developed.

The JES can now be a source of economic policy designs.

The model can be used to address socioeconomic objectives.

It is the only Islamic economic model that has been ever developed in Turkey. The notion of the JES has not been subjected to enough economic analysis and as far as it is known, it has not yet been modeled and simulated.