Theory and Modern Applications
Set | Non-optimal control | Optimal control |
---|---|---|
1 | \(T_{0}=1.5\), \(e_{10}=0.7\) | \(T^{*}=1.6789\), \(e_{1}^{*}=0.6823\) |
\(e_{20}=0.9\), \(\varepsilon_{0}=0.1\) | \(e_{2}^{*}=0.9075\), \(\varepsilon ^{*}=0.1\) | |
\(J_{3}=7931.6\), \(H_{0}=11.23 \) | \(J_{3}^{*}=8140.94\), \(H^{*}=14.49 \) | |
2 | \(T_{0}=1.5\), \(e_{10}=0.4\) | \(T^{*}=1.8038\), \(e_{1}^{*}=0.4285\) |
\(e_{20}=0.8\), \(\varepsilon_{0}=0.1\) | \(e_{2}^{*}=0.8429\), \(\varepsilon ^{*}=0.1\) | |
\(J_{3}=6291.7\), \(H_{0}=11 \) | \(J_{3}^{*}=7592.98\), \(H^{*}=16.44 \) | |
3 | \(T_{0}=1\), \(e_{10}=0.7\) | \(T^{*}=1.8364\), \(e_{1}^{*}=0.7127\) |
\(e_{20}=0.9\), \(\varepsilon_{0}=0.1\) | \(e_{2}^{*}=0.9665\), \(\varepsilon ^{*}=0.1\) | |
\(J_{3}=5333.51\), \(H_{0}=13.64 \) | \(J_{3}^{*}=8041.65\), \(H^{*}=16.84 \) |