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

Bredemann, Michael

 
9783659301780: Feedback Controller Design for Simultaneous Stabilization: Methods to Construct Simultaneously Stabilizing Controllers and Rational Polynomials with Interpolation Constraints
Couverture souple
ISBN 10 : 3659301787 ISBN 13 : 9783659301780
Editeur : LAP LAMBERT Academic Publishing, 2013

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Biographie de l'auteur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2013
Langue
anglais
ISBN 10 
3659301787
ISBN 13 
9783659301780
Reliure
Broché
Nombre de pages
208
Coordonnées du fabricant
non disponible
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