Bode Analysis of Uncertain Multivariable Systems

Conference paper (2022)

Authors

Tom Oomen Team Jan-Willem van Wingerden - Mechanical, Maritime and Materials Engineering , Eindhoven University of Technology
Paul Tacx Eindhoven University of Technology
Research Group
Team Jan-Willem van Wingerden (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2022 T.A.E. Oomen, Paul Tacx
DOI: https://doi.org/10.23919/ACC53348.2022.9867220
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Published Date

2022

Language

English

Reuse Rights

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Jan-Willem van Wingerden

Abstract

Bode plots are crucial for frequency domain analysis of SISO systems. The aim of this paper is to develop a complete approach for Bode plots of multivariable uncertain systems for both the magnitude and phase. The magnitude is based on the singular values. The phase is based on the phase spread of the numerical range. An IQC-based approach is pursued to provide both the magnitude and phase. A simulation example shows that the presented approach allows the generation of multivariable Bode plots of multivariable uncertain systems.

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