## 4 Numerical Study: A 10-Story Shear Building
### Comparison of Seismic Control Performance
\begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Earthquakes** & \(\mathbf{J_{1}}\) & \(\mathbf{J_{2}}\) & \(\mathbf{J_{3}}\) & \(\mathbf{J_{4}}\) \\ \hline El Centro & 0.434 & 0.523 & 0.801 & 0.020 & 0.018 \\ Chichi & 0.471 & 0.813 & 0.690 & 0.016 & 0.019 \\ Kobe & 0.531 & 0.582 & 0.643 & 0.030 & 0.017 \\ Meinong & 0.686 & 0.747 & 0.656 & 0.049 & 0.011 \\ Northridge & 0.553 & 0.655 & 0.890 & 0.025 & 0.009 \\ Kumamoto & 0.543 & 0.720 & 0.645 & 0.020 & 0.016 \\ Capemendocino & 0.558 & 0.677 & 0.686 & 0.028 & 0.016 \\ Parkfield & 0.702 & 0.791 & 0.731 & 0.022 & 0.015 \\ Chueetsu Oki & 0.604 & 0.549 & 0.670 & 0.030 & 0.015 \\ Montenegro & 0.779 & 0.812 & 0.699 & 0.030 & 0.012 \\ Imperial Valley & 0.552 & 0.531 & 0.597 & 0.040 & 0.010 \\ Taipei & 0.501 & 0.485 & 0.450 & 0.047 & 0.008 \\ El Mayor & 0.583 & 0.615 & 0.572 & 0.030 & 0.013 \\ Darfield & 0.847 & 0.897 & 0.739 & 0.033 & 0.011 \\
**Average** & **0.596** & **0.671** & **0.676** & **0.030** & **0.014** \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Seismic control performance of the MLP-120. \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Earthquakes** & \(\mathbf{J_{1}}\) & \(\mathbf{J_{2}}\) & \(\mathbf{J_{3}}\) & \(\mathbf{J_{4}}\) \\ \hline El Centro & 0.434 & 0.523 & 0.803 & 0.020 \\ Chichi & 0.472 & 0.814 & 0.690 & 0.016 \\ Kobe & 0.531 & 0.584 & 0.645 & 0.029 \\ Meinong & 0.686 & 0.747 & 0.655 & 0.049 \\ Northridge & 0.553 & 0.655 & 0.895 & 0.025 \\ Kumamoto & 0.543 & 0.718 & 0.648 & 0.020 \\ Capemendocino & 0.557 & 0.677 & 0.684 & 0.028 \\ Parkfield & 0.702 & 0.797 & 0.732 & 0.022 \\ Chuetsu Oki & 0.605 & 0.549 & 0.674 & 0.030 \\ Montenegro & 0.778 & 0.812 & 0.701 & 0.030 \\ Imperial Valley & 0.553 & 0.531 & 0.606 & 0.040 \\ Taipei & 0.501 & 0.487 & 0.462 & 0.047 \\ El Mayor & 0.584 & 0.618 & 0.569 & 0.030 \\ Darfield & 0.846 & 0.896 & 0.744 & 0.033 \\
**Average** & **0.596** & **0.672** & **0.679** & **0.030** \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Seismic control performance of the LQR (linear-quadratic regulator)-SOS(symbiotic organisms search). \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Earthquakes** & \(\mathbf{J_{1}}\) & \(\mathbf{J_{2}}\) & \(\mathbf{J_{3}}\) & \(\mathbf{J_{4}}\) & RMSE \\ \hline El Centro & 0.434 & 0.524 & 0.803 & 0.020 & 0.013 \\ Chichi & 0.471 & 0.813 & 0.690 & 0.016 & 0.015 \\ Kobe & 0.532 & 0.583 & 0.644 & 0.029 & 0.014 \\ Meinong & 0.687 & 0.747 & 0.655 & 0.049 & 0.010 \\ Northridge & 0.553 & 0.655 & 0.891 & 0.025 & 0.008 \\ Kumamoto & 0.543 & 0.720 & 0.646 & 0.020 & 0.011 \\ Capemendocino & 0.559 & 0.677 & 0.687 & 0.028 & 0.013 \\ Parkfield & 0.532 & 0.583 & 0.645 & 0.029 & 0.016 \\ Meinong & 0.687 & 0.747 & 0.656 & 0.049 & 0.011 \\ Northridge & 0.554 & 0.655 & 0.893 & 0.025 & 0.010 \\ Kumamoto & 0.543 & 0.720 & 0.645 & 0.020 & 0.011 \\ Capemendocino & 0.559 & 0.677 & 0.688 & 0.028 & 0.013 \\ Parkfield & 0.703 & 0.791 & 0.731 & 0.022 & 0.016 \\ Chuetsu Oki & 0.605 & 0.550 & 0.671 & 0.030 & 0.011 \\ Marikield & 0.502 & 0.488 & 0.455 & 0.047 & 0.008 \\ El Mayor & 0.583 & 0.617 & 0.573 & 0.030 & 0.012 \\ Darfield & 0.847 & 0.897 & 0.738 & 0.033 & 0.010 \\
**Average** & **0.596** & **0.672** & **0.678** & **0.030** & **0.012** \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Seismic control performance of the MLP-200.