NEAR-OPTIMUM DESIGN OF LINEAR SYSTEMS BY A SINGULAR PERTURBATION METHOD

被引:66
作者
SANNUTI, P
KOKOTOVI.PV
机构
[1] Department of Electrica1 Engineering, Rutgers University, Kea Brunswick, N. J.
[2] Department of Electrica1 Engineering, Coordinated Science Laboratory, University of Illinois, ITrbana, Ill.
关键词
D O I
10.1109/TAC.1969.1099113
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
It is shown 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 a near-optimum design for a high-order plant. The result of the near-optimum design is superior to that achieved by a conventional low-order design, while the amount of computation is considerably less than that required for a high-order design. An example of a second-order design for a fifth-order plant is given. © 1969 IEEE. All rights reserved.
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页码:15 / &
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