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Novel Nonlinear Control Method for First-Order Systems and Its Implementation in a Temperature System

Author

Listed:
  • Ricardo Chapa
  • Efrain Ibarra
  • Valentin Guzman
  • Jose Vicente Salcedo
Abstract
In this work, a novel nonlinear control theory design for first-order systems is developed, contributing to the improvement of the existing theory. The theory will allow a design of the open loop and closed-loop controllers that ensure the tracking of any reference, constant, or variant in time with a free initial condition where the Laplace transform was used to find all the analytical solutions, avoiding the transfer function theory. Moreover, the closed-loop control will be the best option to speed up or slow down the reference convergence rate in the desired finite time. Then, an algorithm indicating the steps for designing a closed-loop controller and achieving proper tuning for a real-time application is shown. Finally, this manuscript presents the results and discussions of the theory implemented in a prototype tank of a liquid temperature control system, where the effectiveness of the applied temperature control can be seen.

Suggested Citation

  • Ricardo Chapa & Efrain Ibarra & Valentin Guzman & Jose Vicente Salcedo, 2023. "Novel Nonlinear Control Method for First-Order Systems and Its Implementation in a Temperature System," Mathematical Problems in Engineering, Hindawi, vol. 2023, pages 1-15, April.
    • Handle: RePEc:hin:jnlmpe:1029575
    DOI: 10.1155/2023/1029575
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