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Almost invariant subspaces: An approach to high gain feedback design--Part I: Almost controlled invariant subspaces

Willems, J. C., 1981, In : IEEE Transactions on Automatic Control. 26, 1, p. 235-252 18 p.

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  • Almost invariant subspaces: An approach to high gain feedback design--Part I: Almost controlled invariant subspaces

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DOI

  • J. C. Willems
In a previous paper we have introduced the notion of "almost controlled invariant subspaces" which are subspaces to which one can steer the state of a linear system arbitrarily close. In the present paper we will show how these subspaces my be viewed as ordinary controlled invariant subspaces when one allows distributional inputs, or as those subspaces which can be approximated by controlled invariant subspaces. The results are applied to a number of control synthesis problems, i.e., disturbance decoupling, robustness, noisy gain stabilization, and cheap control. Part II of the paper will treat the dual theory of almost conditionally invariant subspaces.
Original languageEnglish
Pages (from-to)235-252
Number of pages18
JournalIEEE Transactions on Automatic Control
Volume26
Issue number1
Publication statusPublished - 1981

ID: 6089303