\[G_{Rowen}(s)=\frac{1}{bs+1}\label{eq:4} \]
Based on Tavakoli in \citep{tavakoli2009educational}, the operating time of a valve to reach steady-state from manufacturer is assumed at ~200 ms and b is expressed as 0.05. However, in this study, b for pilot and main gas fuel valves are estimated using system identification in MATLAB.
The actual setup of the valves in the DLE gas turbine package was examined as shown in Fig. \ref{530751}.