Abstract
This manuscript addresses the feasibility and significance of using a sine function to modify the system error of a normal linear feedback control to achieve more efficient capabilities in terms of energy-saving. The associated mathematic modeling and assessment were demonstrated by presenting a case analysis on the capabilities of controlling water level for a single tank. The principle of robust control and the theories and detailed algorithm of Lyapunov stability were applied to assess the result derived by novel nonlinear feedback in the form of sine function for optimizing the robustness of the PID (Proportional–Integral–Derivative) controller and economizing energy. Two control simulations are compared: nonlinear feedback control using a sine function and conventional fuzzy control. The results reveal that using the nonlinear feedback controller, a reduction of up to 32.9% of the average controlled quantity is achieved, and the performance index is improved by 24.0% with satisfactory robustness. The proposed nonlinear feedback control using a sine function provides simplicity, convenient implementation, and energy efficiency.
Highlights
The three major objectives in the automatic control field have been pursuing sound performance on stability, precision, and speed for years
Having reviewed the existing study, the prominent contributions of this work are: (i) a novel control algorithm and models decorated by sine function-based nonlinear are mathematically proved, and associated nonlinear feedback controller is formulated for controlling the water level; (ii) the energy-saving capability is further enhanced by lessening the amplitude of control input
Energies 2021, 14, x FOR PEER REVIETWhe enhanced PID controller proposed in this study is a sine function-based nonl8inoef a1r2 feedback controller that aims to achieve energy-saving performance
Summary
The three major objectives in the automatic control field have been pursuing sound performance on stability, precision, and speed for years. As nonlinear control emerged in the control field over the past two decades, the focus of controlling a water tank level shifted from a linear to nonlinear perspective, and various algorithms and models have been proposed. In [15], the authors studied the problem for controlling water level in a tank and examined controllers in terms of both fractional-order proportional integral and fractional-order proportional–derivative with respect to outer and inner loops to check performance, as far as energy efficiency is concerned. Having reviewed the existing study, the prominent contributions of this work are: (i) a novel control algorithm and models decorated by sine function-based nonlinear are mathematically proved, and associated nonlinear feedback controller is formulated for controlling the water level; (ii) the energy-saving capability is further enhanced by lessening the amplitude of control input. The simulation results were concluded, and future work were anticipated in the last section
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