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Analytic feedback control and the algebraic Riccati equation

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1 Author(s)
Delchamps, David F. ; Cornell University, Ithaca, NY, USA

The central result of this correspondence is Lemma 1.1, which states that the stabilizing solution P*to the algebraic Riccati equation in (A, B, C) depends analytically on (A, B, C). In the remainder of the correspondence, various control- and system-theoretic ramifications of the analyticity lemma are considered. An important consequence of Lemma 1.1 is that any smooth-state feedback control law for a finite-dimensional plant may be implemented using dynamic input-output compensators whose transfer functions depend smoothly on the plant transfer function.

Published in:

Automatic Control, IEEE Transactions on  (Volume:29 ,  Issue: 11 )

Date of Publication:

Nov 1984

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