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In this technical note, the problem of designing fixed-order robust H∞ controllers is considered for linear systems affected by polytopic uncertainty. A polynomial method is employed to design a fixed-order controller that guarantees that all the closed-loop poles reside within a given region of the complex plane. In order to utilize the freedom of the controller design, an H∞ performance specification is also enforced by using the equivalence between robust stability and H∞ norm constraint. The design problem is formulated as a linear matrix inequality (LMI) constraint whose decision variables are controller parameters. An illustrative example demonstrates the feasibility of the proposed design methods. © 2007 IEEE.
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IEEE Transactions on Automatic Control
ISSN： 0018-9286
Year： 2007
Issue： 10
Volume： 52
Page： 1959-1963
2 . 8 2 4
JCR@2007
6 . 2 0 0
JCR@2023
JCR Journal Grade：1
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