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

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.