Study of direct optimization using radial basis functions /
Radial basis function approximations of the control variables are used to convert a general nonlinear dynamical optimization into a nonlinear programming problem. Two novel implementations are presented, both of which utilize a nonlinear programming algorithm based upon a minimum correction strategy...
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| Format: | Thesis Book |
| Language: | English |
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[Place of publication not identified] :
[publisher not identified] ;
1995.
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| Online Access: | Link to OAKTrust copy http://proxy.library.tamu.edu/login?url=http://proquest.umi.com/pqdweb?did=742831421&sid=1&Fmt=2&clientId=2945&RQT=309&VName=PQD |
| Summary: | Radial basis function approximations of the control variables are used to convert a general nonlinear dynamical optimization into a nonlinear programming problem. Two novel implementations are presented, both of which utilize a nonlinear programming algorithm based upon a minimum correction strategy, to tune the coefficients of the basis functions. Heuristic rules are studied for adoptively locating centers and the sharpness of the radial basis functions. In addition to the two new spaced radial basis function direct optimization algorithms, a Chebychev orthogonal polynomial direct optimization algorithm is considered to validate the results obtained from radial basis function direct optimization algorithms. These issues are addressed using numerical studies for two single control variable optimal control problems and one multi-control variables optimal control problem. |
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| Item Description: | Vita. "Major Subject: Aerospace Engineering". |
| Physical Description: | xii, 78 leaves : illustrations ; 28 cm. Issued also on microfiche from University Microfilms Inc. |
| Bibliography: | Includes bibliographical references. |