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# The D'P + Pd = -Q Matrix Equation In Control System Optimization

 dc.contributor.author Al-Bedah, Bedah M. dc.date.accessioned 2017-02-11T21:21:24Z dc.date.available 2017-02-11T21:21:24Z dc.date.issued 1978-08 dc.identifier.citation B.M. Al-Bedah, "The D'P + Pd = -Q Matrix Equation In Control System Optimization", M.S. dissertation, Dept. of Engineering, Univ. of Bridgeport, Bridgeport, CT, 1978. en_US dc.identifier.uri https://scholarworks.bridgeport.edu/xmlui/handle/123456789/1756 dc.description This thesis is being archived as a Digitized Shelf Copy for campus access to current students and staff only. We currently cannot provide this open access without the author's permission. If you are the author of this work and desire to provide it open access or wish access removed, please contact the Wahlstrom Library to discuss permission. en_US dc.description.abstract In control system design, different kinds of equations arise and need to be solved for the purpose of designing the system, prior to optimizing it. To optimize a system, a cost functional should be formulated in terms of the system parameters and then should be minimized or maximized. In this present work, a control system is expressed in state-variable form and a performance index is formulated. The Integral-Squared Error, ISE, is chosen to be the cost functional which need to be minimized. This formulation gave one of the Liapunov matrix equations. D'P + PD = -Q, which is required to be solved in terms of the unknown system parameters. Some methods as the Direct Method, the Companion Matrix Method, and the Skew-Symmetric Matrix Method were proposed to solve the above equation and were applied to the given examples. en_US dc.language.iso en_US en_US dc.subject Control system en_US dc.subject Optimization en_US dc.title The D'P + Pd = -Q Matrix Equation In Control System Optimization en_US dc.type Thesis en_US dc.institute.department School of Engineering en_US dc.institute.name University of Bridgeport en_US
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