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- Title
Full-block multipliers for repeated, slope-restricted scalar nonlinearities.
- Authors
Fetzer, Matthias; Scherer, Carsten W.
- Abstract
This paper provides a comprehensive treatment of full-block multipliers within the integral quadratic constraints framework for stability analysis of feedback systems containing repeated, slope-restricted scalar nonlinearities. We develop a novel stability result that offers more flexibility in its application because it allows for the inclusion of general Popov and Yakubovich criteria in combination with the well-established Circle and Zames-Falb stability tests within integral quadratic constraint theory. A particular focus lies on the formulation of stability criteria in terms of full-block multipliers, some of which are new, and thus typically involve less conservatism than current methods. Furthermore, a new asymptotically exact parametrization of full-block Zames-Falb multipliers is given that allows to exploit the complete potential of this stability test. Copyright © 2017 John Wiley & Sons, Ltd.
- Subjects
MULTIPLIERS (Mathematical analysis); NONLINEAR theories; QUADRATIC assignment problem; FEEDBACK control systems; STABILITY theory
- Publication
International Journal of Robust & Nonlinear Control, 2017, Vol 27, Issue 17, p3376
- ISSN
1049-8923
- Publication type
Article
- DOI
10.1002/rnc.3751