Estimating projected controllable sets for dynamical control systems.

Persistent Link:
http://hdl.handle.net/10150/184443
Title:
Estimating projected controllable sets for dynamical control systems.
Author:
Wu, Zong Yeng.
Issue Date:
1988
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
A method is developed to estimate the projection of a higher dimensional (three or more) controllable set onto a lower dimensional (usually one or two) space. This method requires that an n-dimensional dynamical system subject to a scalar control be transformed into two lower dimensional subsystems by choosing a proper transformation matrix. It is shown that such a transformation can always be determined for an n-dimensional linear I/O system. For some nonlinear dynamical system problems such as an aircraft missile avoidance problem, a proper transformation matrix still can be determined. From the transformed system, both an overestimate and an underestimate for an actual projected controllable set in the state space of interest can be provided by using the method presented in this dissertation. With these information, the actual projected controllable set can be estimated. Two linear I/O systems subject to a scalar control and an aircraft missile avoidance problem are used to illustrate the method.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Flight control.; System analysis.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Aerospace and Mechanical Engineering; Graduate College
Degree Grantor:
University of Arizona
Advisor:
Vincent, Thomas L.

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleEstimating projected controllable sets for dynamical control systems.en_US
dc.creatorWu, Zong Yeng.en_US
dc.contributor.authorWu, Zong Yeng.en_US
dc.date.issued1988en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractA method is developed to estimate the projection of a higher dimensional (three or more) controllable set onto a lower dimensional (usually one or two) space. This method requires that an n-dimensional dynamical system subject to a scalar control be transformed into two lower dimensional subsystems by choosing a proper transformation matrix. It is shown that such a transformation can always be determined for an n-dimensional linear I/O system. For some nonlinear dynamical system problems such as an aircraft missile avoidance problem, a proper transformation matrix still can be determined. From the transformed system, both an overestimate and an underestimate for an actual projected controllable set in the state space of interest can be provided by using the method presented in this dissertation. With these information, the actual projected controllable set can be estimated. Two linear I/O systems subject to a scalar control and an aircraft missile avoidance problem are used to illustrate the method.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectFlight control.en_US
dc.subjectSystem analysis.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineAerospace and Mechanical Engineeringen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorVincent, Thomas L.en_US
dc.contributor.committeememberSchultz, Donald G.en_US
dc.contributor.committeememberJoshi, Shiv P.en_US
dc.contributor.committeememberCellier, Francois E.en_US
dc.identifier.proquest8820134en_US
dc.identifier.oclc701250851en_US
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