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AN APPROXIMATE DESIGN OF OPTIMAL REGULATORS FOR HIGH-ORDER LINEAR PLANTS,
ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB
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It is show that the state feedback matrix of a linear system optimal with respect to a quadratic performance index can be expanded in a MacLaurin series in parameters which change the order of the system. The first two terms of this series are employed in an optimally sensitive design for a high-order plant. The result of the optimally sensitive design is superior to that achieved by a conventional low-order design, while the amount of computation is considerably lower than it is required for a high-order design. An example of a second order design for a fifth order plant is given. Author
APPROVED FOR PUBLIC RELEASE