Author Affiliations
1College of Missile Engineering, Rocket Force University of Engineering, Xi'an 710025, China2School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, China3Beijing Haidian Qinghe Building Ding 7, Beijing 100085, Chinashow less
Fig. 1. IWOA flow chart
Fig. 2. Time history of the height
Fig. 3. Histories of the longitude and latitude
Fig. 4. Time history of the velocity
Fig. 5. Resistance acceleration reentry corridor
Fig. 6. Time histories of the AOA
Fig. 7. Time histories of the bank angle
Fig. 8. Time histories of temperature on stagnation point
Fig. 9. Time histories of the infrared radiation
Fig. 10. Time histories of the altitude
Fig. 11. Histories of the longitude and latitude
Fig. 12. Time histories of the velocity
Fig. 13. Resistance acceleration reentry corridor
Fig. 14. Velocity histories of the AOA
Fig. 15. Velocity histories of the bank angle
Fig. 16. Time histories of temperature on stagnation point
Fig. 17. Time histories of the infrared radiation intensity
Fig. 18. Time histories of the velocity
Fig. 19. Time histories of the altitude
Fig. 20. Terminal errors of longitude and latitude
Fig. 21. Velocity histories of the bank angle
Fig. 22. Time histories of temperature on stagnation point
Fig. 23. Time histories of the infrared radiation intensity
State | Initial condition | Terminal constraint | Other parameters | Value | $ r $/km
| 60 | 25 | $ {\dot{Q}}_{\text{max}} $/
$ {\text{kW/}}{{\text{m}}^{-{\text{2}}}} $ | 1200 | $ \theta $/(°)
| 120 | 160 | $ {q}_{\text{max}} $/
${\text{kPa} }$ | 400 | $ \varphi $/(°)
| 40 | 65 | $ {n}_{\text{max}} $ | 6 | $ V $/m·s−1 | 5000 | 1200 | $ {V}_{1} $/m·s−1 | $ [4\;000,4\;800] $ | $ \gamma $/(°)
| −1 | - | $ {V}_{2} $/m·s−1 | $ [1\;800,4\;000] $ | $ \psi $/(°)
| 40 | - | $ |{\sigma _0}| $/(°)
| $ [0,80] $ |
|
Table 1. Simulation scene parameters
Variable | $ {V_1}$![]() /m·s−1 | $ {V}_{2} $![]() /m·s−1 | $|{\sigma _0}|$![]() /(°)
| $ J(u)$![]() /kW·sr−1 | Value | 4000.01 | 1800.21 | 41.48 | 29560.64 |
|
Table 2. Optimization results of four algorithms
Algorithms | $ {V_1} $![]() /m·s−1 | $ {V_2} $![]() /m·s−1 | $|{\sigma _0}|$![]() /(°)
| $J(u)$![]() /kW·sr−1 | IWOA | 4000.01 | 1800.21 | 41.48 | 29560.64 | WOA | 4063.99 | 1951.63 | 45.47 | 34563.88 | SSA | 4000.52 | 1800.89 | 43.54 | 31268.92 | PSO | 4135.48 | 1895.52 | 47.94 | 38287.97 |
|
Table 3. Simulation results of four algorithms
Terminal errors | IWOA | WOA | SSA | PSO | Altitude/km | 0.077 | 0.84 | 1.12 | 0.74 | Velocity/m·s−1 | 0.0086 | 0.24 | 97.56 | 10.50 | Longitude/(°) | 0.30 | 0.72 | 0.86 | 1.70 | Latitude/(°) | 0.07 | 0.19 | 0.21 | 0.42 | Peak temperature/K | 1921.37 | 2061.98 | 1977.75 | 2173.41 | Peak radiation/
${\text{kW} } \cdot {\text{s} }{ {\text{r} }^{ - 1} }$ | 283.32 | 368.04 | 316.12 | 442.79 |
|
Table 4. Comparison of optimization results
Disturbance | $ 3\sigma $![]() values
| Altitude/m | 200 | Longitude/(°) | 1 | latitude/(°) | 1 | Velocity/m·s−1 | 100 | Flight path angle/(°) | 0.2 | Head angle/(°) | 0.2 |
|
Table 5. Disturbances in the Monte Carlo
Terminal error | Maximum value | Average value | Standard deviation | Altitude/km | 0.99 | 0.71 | 0.21 | Velocity/m·s−1 | 99.99 | 94.88 | 9.68 | Longitude/(°) | 3.71 | 1.12 | 0.42 | Latitude/(°) | 1.00 | 0.23 | 0.20 | Peak temerature/K | 2213.60 | 1962.54 | 178.02 | Peak radiation/
${\text{kW} } \cdot {\text{s} }{ {\text{r} }^{ - 1} }$ | 471.73 | 314.34 | 52.20 | Total radiation/
${\text{kW} } \cdot {\text{s} }{ {\text{r} }^{ - 1} }$ | 40278.91 | 31592.07 | 3516.83 |
|
Table 6. Simulation results of the Monte Carlo