Singular trajectories in airplane cruise-dash optimizaiton
| dc.contributor.author | Bilimoria, Karl D. | en |
| dc.contributor.committeechair | Cliff, Eugene M. | en |
| dc.contributor.committeemember | Kelley, Henry J. | en |
| dc.contributor.committeemember | Lutze, Frederick H. | en |
| dc.contributor.committeemember | Stalford, Harold L. | en |
| dc.contributor.committeemember | Marchman, James F. | en |
| dc.contributor.department | Aerospace Engineering | en |
| dc.date.accessioned | 2017-03-10T21:54:48Z | en |
| dc.date.available | 2017-03-10T21:54:48Z | en |
| dc.date.issued | 1987 | en |
| dc.description.abstract | The problem of determining cruise-dash trajectories is examined for the case of time-fuel optimization using a linear combination of time and fuel as the performance index. These trajectories consist of a transient arc followed by a steady-state arc. For cases where the steady-state arc is flown with full throttle the associated skeletal transient trajectories are also flown with full throttle, and approach the cruise-dash points monotonically in an asymptotic fashion. When the steady-state arc is flown at an intermediate throttle setting, the transient trajectories follow a singular control law and exhibit a complex structure that is different from the full-throttle transients. Singular transients in the vicinity of singular cruise-dash points are confined to a bounded singular surface. In state-space these trajectories trace out asymptotic spirals on the singular surface as they approach the steady-state arc. If the initial operating point lies outside the singular surface, then the transient trajectories are composites consisting of a full-throttle or zero-throttle segment flown until the singular surface is met, followed by a singular segment that fairs into the cruise-dash point. Addressing the question of optimality of the steady-state arc, it was found that although steady-state cruise fails a Jacobi-type condition, steady-state cruise-dash can satisfy this condition if the emphasis on time is sufficiently large. The outcome of the Jacobi-type test appears to be connected with the eigenstructure of the linearized state-adjoint system. | en |
| dc.description.degree | PH. D. | en |
| dc.format.extent | xiii, 104 leaves | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.uri | http://hdl.handle.net/10919/76506 | en |
| dc.language.iso | en_US | en |
| dc.publisher | Virginia Polytechnic Institute and State University | en |
| dc.relation.isformatof | OCLC# 15788142 | en |
| dc.rights | In Copyright | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject.lcc | LD5655.V856 1987.B565 | en |
| dc.subject.lcsh | Flight control | en |
| dc.subject.lcsh | Airplanes -- Control systems -- Research | en |
| dc.title | Singular trajectories in airplane cruise-dash optimizaiton | en |
| dc.type | Dissertation | en |
| dc.type.dcmitype | Text | en |
| thesis.degree.discipline | Aerospace Engineering | en |
| thesis.degree.grantor | Virginia Polytechnic Institute and State University | en |
| thesis.degree.level | doctoral | en |
| thesis.degree.name | PH. D. | en |
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