Journal: Scientific Reports

Article Title: An emotional discrete controller PSO tuned and designed for a real industrial pumping system

doi: 10.1038/s41598-022-08192-2

Figure Lengend Snippet: Relation between frequency and flow values used for estimation of the transfer functions.

Article Snippet: In order to find the digital model for the linear part of the system transfer functions described in Table we used the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$c2d$$\end{document} c 2 d (continuous to discrete) command in the MATLAB environment to apply the Zero-Order-Hold method to these equations.

Techniques:

Journal: Scientific Reports

Article Title: An emotional discrete controller PSO tuned and designed for a real industrial pumping system

doi: 10.1038/s41598-022-08192-2

Figure Lengend Snippet: Transfer functions estimated.

Article Snippet: In order to find the digital model for the linear part of the system transfer functions described in Table we used the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$c2d$$\end{document} c 2 d (continuous to discrete) command in the MATLAB environment to apply the Zero-Order-Hold method to these equations.

Techniques:

Journal: Scientific Reports

Article Title: An emotional discrete controller PSO tuned and designed for a real industrial pumping system

doi: 10.1038/s41598-022-08192-2

Figure Lengend Snippet: Flow rate scenarios.

Article Snippet: In order to find the digital model for the linear part of the system transfer functions described in Table we used the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$c2d$$\end{document} c 2 d (continuous to discrete) command in the MATLAB environment to apply the Zero-Order-Hold method to these equations.

Techniques:

Journal: Scientific Reports

Article Title: An emotional discrete controller PSO tuned and designed for a real industrial pumping system

doi: 10.1038/s41598-022-08192-2

Figure Lengend Snippet: Upper and lower limits of the parameters of the initial particle function.

Article Snippet: In order to find the digital model for the linear part of the system transfer functions described in Table we used the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$c2d$$\end{document} c 2 d (continuous to discrete) command in the MATLAB environment to apply the Zero-Order-Hold method to these equations.

Techniques:

Journal: Scientific Reports

Article Title: An emotional discrete controller PSO tuned and designed for a real industrial pumping system

doi: 10.1038/s41598-022-08192-2

Figure Lengend Snippet: Parameters of Eqs. ( 19 ) and ( 20 ).

Article Snippet: In order to find the digital model for the linear part of the system transfer functions described in Table we used the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$c2d$$\end{document} c 2 d (continuous to discrete) command in the MATLAB environment to apply the Zero-Order-Hold method to these equations.

Techniques: Generated

Journal: Scientific Reports

Article Title: An emotional discrete controller PSO tuned and designed for a real industrial pumping system

doi: 10.1038/s41598-022-08192-2

Figure Lengend Snippet: PSO Optimization Result.

Article Snippet: In order to find the digital model for the linear part of the system transfer functions described in Table we used the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$c2d$$\end{document} c 2 d (continuous to discrete) command in the MATLAB environment to apply the Zero-Order-Hold method to these equations.

Techniques:

Journal: Scientific Reports

Article Title: An emotional discrete controller PSO tuned and designed for a real industrial pumping system

doi: 10.1038/s41598-022-08192-2

Figure Lengend Snippet: BELBIC Controller Parameters.

Article Snippet: In order to find the digital model for the linear part of the system transfer functions described in Table we used the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$c2d$$\end{document} c 2 d (continuous to discrete) command in the MATLAB environment to apply the Zero-Order-Hold method to these equations.

Techniques:

Journal: Scientific Reports

Article Title: An emotional discrete controller PSO tuned and designed for a real industrial pumping system

doi: 10.1038/s41598-022-08192-2

Figure Lengend Snippet: BELBIC controller parameters for each operating range.

Article Snippet: In order to find the digital model for the linear part of the system transfer functions described in Table we used the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$c2d$$\end{document} c 2 d (continuous to discrete) command in the MATLAB environment to apply the Zero-Order-Hold method to these equations.

Techniques:

Journal: Scientific Reports

Article Title: An emotional discrete controller PSO tuned and designed for a real industrial pumping system

doi: 10.1038/s41598-022-08192-2

Figure Lengend Snippet: ( a ) Controller robustness assessment (desired flow rate in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$1100 m^3/h$$\end{document} 1100 m 3 / h ); ( b ) Controller robustness assessment (desired flow rate in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$1800 m^3/h$$\end{document} 1800 m 3 / h ).

Article Snippet: In order to find the digital model for the linear part of the system transfer functions described in Table we used the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$c2d$$\end{document} c 2 d (continuous to discrete) command in the MATLAB environment to apply the Zero-Order-Hold method to these equations.

Techniques: