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Proportional Integral (PI) controllers are a fundamental component in modern control systems, widely used to enhance performance and mitigate steady-state errors. They are particularly effective in applications such as automatic brightness adjustment on smartphones, where they excel at mitigating steady-state errors for step-function inputs. Unlike PD controllers, which require time-varying errors to function optimally, PI controllers leverage their integral component to address residual...
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In automotive engineering, car suspension systems often employ Proportional Derivative (PD) controllers to enhance performance. PD controllers are utilized to adjust the damping force in response to road conditions. A controller, acting as an amplifier with a constant gain, demonstrates proportional control, with output directly mirroring input.
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Controller configurations are crucial in a car's cruise control system because they manage speed over time to maintain a consistent pace regardless of road conditions, thereby meeting design goals. In traditional control systems, fixed-configuration design involves predetermined controller placement. System performance modifications are known as compensation.
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Usage of fractional order [Formula: see text] controller as AQM algorithm.

Karol Marszałek1, Adam Domański1, Adam Milik2

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Summary

This study introduces an integer-based calculation for fractional order controllers, demonstrating its effectiveness as an active queue management algorithm. The proposed method was validated through simulations and real-world network tests.

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Area of Science:

  • Computer Science
  • Control Engineering
  • Network Engineering

Background:

  • Active Queue Management (AQM) algorithms are crucial for maintaining network performance by mitigating congestion.
  • Fractional order controllers offer potential advantages in system control but can be computationally intensive.
  • Efficient implementation of advanced control algorithms is necessary for real-time network applications.

Purpose of the Study:

  • To propose and evaluate an integer-based calculation method for fractional order controllers.
  • To implement and test this method as an Active Queue Management (AQM) algorithm.
  • To present a Field-Programmable Gate Array (FPGA) design and experimental validation for the proposed AQM.

Main Methods:

  • Development of an integer-based calculation process for fractional order controllers.
  • Numerical analysis and simulation studies to assess controller performance.
  • Implementation on a Linux-based testbed with real-world network devices.
  • FPGA design and hardware implementation of the calculation process.
  • Experimental setup and evaluation of the AQM in a network environment.

Main Results:

  • The integer-based fractional order controller was successfully implemented as an AQM algorithm.
  • Validation was confirmed across numerical, simulation, and hardware testbed environments.
  • The FPGA design provided an efficient hardware implementation for the controller's calculation process.
  • Experimental results demonstrated the practical applicability and effectiveness of the proposed AQM.

Conclusions:

  • The proposed integer-based calculation method offers a viable and efficient alternative for implementing fractional order controllers in AQM.
  • The study successfully bridges theoretical control concepts with practical network engineering solutions.
  • The findings support the use of optimized fractional order controllers for enhanced network performance and congestion control.