2005
DOI: 10.2514/1.8544
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Multistage Trajectory Optimization with Radar Range Constraints

Abstract: The problem of finding an optimal aircraft trajectory for long-distance flights in three dimensions subject to radar detection constraints is considered. A general point-mass model previously developed is not suitable because the time discretization needs to be very fine to resolve the rigid-body dynamics resulting in very large optimization problems. Different reduced mathematical models are derived and compared to the more general performance model. Finally, a long-range mission involving two subsonic jet tr… Show more

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Cited by 15 publications
(22 citation statements)
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References 18 publications
(39 reference statements)
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“…In the following subsections, the constraints for each flight mode in the descent and approach phase are specified, and the corresponding continuous dynamics of the aircraft with wind disturbance are derived from the general equations of motion [Eqs. (4)(5)(6)(7)(8)] [17,18]. …”
Section: Continuous State Dynamics Of Aircraftmentioning
confidence: 99%
“…In the following subsections, the constraints for each flight mode in the descent and approach phase are specified, and the corresponding continuous dynamics of the aircraft with wind disturbance are derived from the general equations of motion [Eqs. (4)(5)(6)(7)(8)] [17,18]. …”
Section: Continuous State Dynamics Of Aircraftmentioning
confidence: 99%
“…To this date, the analysis of the trajectory in MDO has been used in only a few case studies in order to either identify the mission performance (Yan et al, 2012) or the radar constraints (Norsell, 2005), but the main limitation is that it has been restricted to two-dimensions and low fidelity mathematical models. The common approach that is also followed in this work is to discretize the trajectory into several segments, and then perform an evaluation of the design at each one of them.…”
Section: Advanced Analysis Functionsmentioning
confidence: 99%
“…With the advancement of computing power, the use of direct collocation with nonlinear programming (DCNLP) to convert TPBVPs into nonlinear programming problems (NLPPs), a so-called direct optimal control method is feasible and has been applied widely [6][7][8][9][10][11]. By discretizing the trajectory into multiple segments, characterized by state and control variables as parameters, a TPBVP is transformed into a problem of determining the parameters that satisfy the constraints.…”
Section: Introductionmentioning
confidence: 99%