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- Title
Novel Nonlinear Control Method for First-Order Systems and Its Implementation in a Temperature System.
- Authors
Chapa, Ricardo; Ibarra, Efrain; Guzman, Valentin
- 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.
- Subjects
NONLINEAR control theory; TEMPERATURE control; TRANSFER functions; ANALYTICAL solutions; TEMPERATURE; ADAPTIVE control systems
- Publication
Mathematical Problems in Engineering, 2023, p1
- ISSN
1024-123X
- Publication type
Article
- DOI
10.1155/2023/1029575