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IMA Journal of Mathematical Control and Information 1987 4(3):195-220; doi:10.1093/imamci/4.3.195
© 1987 by Institute of Mathematics and its Applications
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Robust High-gain Feedback Control of Infinite-Dimensional Minimum-Phase Systems

HARTMUT LOGEMANN and DAVID H. OWENS

Department of Mathematics, University of Strathclyde Livingstone Tower, 26 Richmond Street, Glasgow G1 1XH

This paper deals with a certain class of infinite-dimensional minimum-phase systems. We show that these systems can be stabilized by multivariable PT-controllers with sufficiently high gains; it turns out that the P1-controllers under consideration achieve almost decoupling and almost perfect tracking at high gain. Further, we prove several sufficient conditions for robust stability. Two results on pole-zero cancellations and closed-loop stability, which are used throughout the paper, may be of independent interest.


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