Table 7 Optimized IWOA-ROMs in state space representation
From: An improved whale optimization algorithm for the model order reduction of large-scale systems
Loading condition | \(A_{r}\) | \(B_{r}\) | \(C_{r}\) | \(D_{r}\) |
|---|---|---|---|---|
1 | \(\left[ {\begin{array}{*{20}c} 0 & 0 & 0 & 0 \\ { - 681} & 0 & 0 & 0 \\ {1967} & {877} & { - 20} & { - 31217} \\ 0 & 1 & 0 & { - 46} \\ \end{array} } \right]\) | \(\left[ {\begin{array}{*{20}c} 0 \\ {2.1697} \\ { - 6.2653} \\ 0 \\ \end{array} } \right]\) | \(\left[ {\begin{array}{*{20}c} {314} & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ {2412} & {877} & { - 19} & { - 31217} \\ \end{array} } \right]\) | \(\left[ {\begin{array}{*{20}c} { - 1.000} \\ 0 \\ 0 \\ { - 7.6800} \\ \end{array} } \right]\) |
2 | \(\left[ {\begin{array}{*{20}c} 0 & 0 & 0 & 0 \\ { - 621} & 0 & 0 & 0 \\ { - 977} & {1256} & { - 19} & { - 26970} \\ 0 & 2 & 0 & {46} \\ \end{array} } \right]\) | \(\left[ {\begin{array}{*{20}c} 0 \\ {1.9788} \\ {3.114} \\ 0 \\ \end{array} } \right]\) | \(\left[ {\begin{array}{*{20}c} {314} & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ { - 578} & {1256} & {19} & { - 6970} \\ \end{array} } \right]\) | \(\left[ {\begin{array}{*{20}c} { - 1.000} \\ 0 \\ 0 \\ {1.8400} \\ \end{array} } \right]\) |
3 | \(\left[ {\begin{array}{*{20}c} 0 & 0 & 0 & 0 \\ { - 681} & 0 & 0 & 0 \\ {1967} & {1200} & { - 20} & { - 36000} \\ 0 & 1 & 0 & { - 20} \\ \end{array} } \right]\) | \(\left[ {\begin{array}{*{20}c} 0 \\ {2.1697} \\ { - 6.2653} \\ 0 \\ \end{array} } \right]\) | \(\left[ {\begin{array}{*{20}c} {314} & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ {2412} & {1200} & { - 19} & { - 36000} \\ \end{array} } \right]\) | \(\left[ {\begin{array}{*{20}c} { - 1.000} \\ 0 \\ 0 \\ { - 7.6800} \\ \end{array} } \right]\) |