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UBC Theses and Dissertations
Application of geometric programming to PID controller tuning with state constraints Carver, Leonard James
Abstract
In the thesis, geometric programming is considered as a numerical optimization technique. The problem of minimizing the integral square error of a system characterized by a second order plant with proportional- integral-derivative (PID) controller is investigated. Constraints are imposed upon the state of the system In order to obtain feasible solutions and conditions that are amenable to the geometric programming technique. The application of geometric programming requires the use of approximation procedures to eliminate untenable conditions in the objective and constraint functions. The techniques utilized render solutions that are easily obtainable, usually amounting to solving a set of linear equations and requiring no differentiation of terms. In addition, there is rapid convergence to an optimum. The accuracy of the results is dependent upon the validity of the approximations.
Item Metadata
Title |
Application of geometric programming to PID controller tuning with state constraints
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
1976
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Description |
In the thesis, geometric programming is considered as a numerical
optimization technique. The problem of minimizing the integral square error of a system characterized by a second order plant with proportional-
integral-derivative (PID) controller is investigated. Constraints
are imposed upon the state of the system In order to obtain feasible solutions and conditions that are amenable to the geometric programming technique.
The application of geometric programming requires the use of approximation procedures to eliminate untenable conditions in the objective
and constraint functions. The techniques utilized render solutions that are easily obtainable, usually amounting to solving a set of linear equations and requiring no differentiation of terms. In addition, there is rapid convergence to an optimum. The accuracy of the results is dependent upon the validity of the approximations.
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Genre | |
Type | |
Language |
eng
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Date Available |
2010-02-09
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Provider |
Vancouver : University of British Columbia Library
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Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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DOI |
10.14288/1.0065570
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Campus | |
Scholarly Level |
Graduate
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Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.