EXPLORING THE RESPONSE MECHANISMS OF EXPONENTIAL LAG ELEMENTS

Authors

  • 081 دقيقة واحدة Osama Mohammed Elmardi Suleiman Khayal1 Author
  • Sideig Abdelrhman Dowi2 Author
  • Bashir Osman3 Author
  • Ahmed Ali Mustafa Mohammed4 Author

DOI:

https://doi.org/10.58971/grrj5k30

Abstract

Abstract

The study of exponential lag elements focuses on understanding the behavior of systems with time delays, particularly in control systems and signal processing. It examines the transient and steady-state responses of these elements to different input types (e.g., step functions, ramp inputs sinusoidal waves, impulses) to assess their effect on system stability and performance, while exploring design implications for achieving optimal response times and minimizing errors. Many practical systems, such as mass-damper and mass heating systems, are classified as first-order, with higher-order systems often approximated as first-order due to a dominant mode. First-order differential equations are widely applicable across fields like electrical engineering, growth and decay phenomena, and temperature control. Additionally, first-order logic enhances representational expressiveness compared to propositional logic, offering more efficient modeling through the use of variables and quantifiers.

Author Biographies

  • 081 دقيقة واحدة Osama Mohammed Elmardi Suleiman Khayal1

    1,3,4Department of Mechanical Engineering, College of Engineering and Technology, Nile Valley University, Atbara – Sudan and Elsheikh Abdallah Elbadri University, Berber – Sudan

  • Sideig Abdelrhman Dowi2

    2Department of Electrical and Electronic Engineering, College of Engineering and Technology, Nile Valley University, Atbara – Sudan and Elsheikh Abdallah Elbadri University, Berber – Sudan

  • Bashir Osman3

    1,3,4Department of Mechanical Engineering, College of Engineering and Technology, Nile Valley University, Atbara – Sudan and Elsheikh Abdallah Elbadri University, Berber – Sudan

  • Ahmed Ali Mustafa Mohammed4

    1,3,4Department of Mechanical Engineering, College of Engineering and Technology, Nile Valley University, Atbara – Sudan and Elsheikh Abdallah Elbadri University, Berber – Sudan

Published

2025-04-06

Issue

Vol. 1 No. 3 (2024): Engineering Sciences issue 3

Section

المقالات