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H∞-output feedback of infinite-dimensional systems via approximation

✍ Scribed by K.A. Morris

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
111 KB
Volume
44
Category
Article
ISSN
0167-6911

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✦ Synopsis

As in the ÿnite-dimensional case, a state-space based controller for the inÿnite-dimensional H ∞ disturbance-attenuation problem may be calculated by solving two Riccati equations. These operator Riccati equations can rarely be solved exactly. We approximate the original inÿnite-dimensional system by a sequence of ÿnite-dimensional systems. The solutions to the corresponding ÿnite-dimensional Riccati equations are shown to converge to the solution of the inÿnite-dimensional Riccati equations. Furthermore, the corresponding ÿnite-dimensional controllers yield performance arbitrarily close to that obtained with the inÿnite-dimensional controller.

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