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Title: On Stable H8 controller design for plants with infinitely many unstable zeros and poles
Authors: Ünal, H.U.
Keywords: Infinite-dimensional systems
Mixed sensitivity minimization
Stable controllers
Linear control systems
H ?
H? controller design
Infinite-dimensional system
Interpolation condition
Mixed sensitivity
Mixed sensitivity minimization
Right half plane zero
Right half planes
Sensitivity minimization
Stable controllers
Issue Date: 2021
Publisher: Elsevier Ltd
Abstract: In this work, stable H? controller design problem for linear time-invariant single-input single-output plants, which have infinitely many open-right-half-plane zeros and possibly infinitely many right-half-plane poles, is considered. Interpolation-based approach is developed to solve the problem. The approach requires to construct a unit in H? satisfying certain interpolation conditions at the open-right-half-plane zeros of the plant and H? norm constraint. In order to construct such a unit function, first, construction of an H? function satisfying interpolation conditions at given countably many distinct points in the open-right-half plane is presented. Then, by using the upper bound on the H? norm of the constructed function and the small-gain theorem, first, sufficient condition is presented for the solution of the sensitivity minimization problem by a stable controller and design methodology for such a controller is presented. Then, stable H? controller design approach for the considered class of plants is presented under certain assumptions. A numerical example is given to verify the presented results. © 2021 Elsevier Ltd
ISSN: 0005-1098
Appears in Collections:Elektrik-Elektronik Mühendisliği Bölümü Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu

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