The D'P + Pd = -Q Matrix Equation In Control System Optimization
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Authors
Al-Bedah, Bedah M.
Issue Date
1978-08
Type
Thesis
Language
en_US
Keywords
Control system , Optimization
Alternative Title
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.
Description
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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.