Feedback Controller Design for Simultaneous Stabilization: Methods to Construct Simultaneously Stabilizing Controllers and Rational Polynomials with Interpolation Constraints

Bredemann, Michael

ISBN 10: 3659301787 / ISBN 13: 9783659301780

Published by LAP LAMBERT Academic Publishing, 2013

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Bibliographic Details

• Title: Feedback Controller Design for Simultaneous Stabilization: Methods to Construct Simultaneously Stabilizing Controllers and Rational Polynomials with Interpolation Constraints
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2013
• Language: English
• ISBN 10: 3659301787
• ISBN 13: 9783659301780
• Binding: Paperback
• Condition: Like New
• Book Type: book

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Synopsis

This book enlarges the class of systems, for which a simultaneously stabilizing controller can be designed, and restricts the class of controllers, from which a solution must exist. The new results here apply to the output feedback stabilization of linear, time invariant, continuous time, single-input, single-output plants. New necessary and sufficient conditions require the existence of an exactly proper controller. For the two plant case, necessary and sufficient conditions are derived only in terms of the plant parameters eliminating the use of the Bezout Identity in determining the existence and the construction of the controller. New sufficient conditions stabilize non-minimum phase plants and relax the high frequency sign condition for minimum phase plants. A new interpolation algorithm is used to create bounded real minimum phase rational polynomials of finite order in constructing simultaneously stabilizing controllers. Generalized sufficient conditions reduce in special cases to results published by several authors. Proofs are constructive so the controllers can be designed, when these new sufficient conditions are satisfied. Examples illustrate the new results.

About the Author

Michael Bredemann received B.S. degrees in Electrical Engineering and Applied Math in 1980 and 1981 respectively from the University of Missouri-Rolla, and the M.S. degree in Electrical Engineering Systems and the Ph.D. in Electrical Engineering Control Systems in 1986 and 1995 respectively from the University of New Mexico-Albuquerque.