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Robustness analysis of uncertain time‐varying systems using integral quadratic constraints with time‐varying multipliers
Author(s) -
Fry J. Micah,
Abou Jaoude Dany,
Farhood Mazen
Publication year - 2021
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.5299
Subject(s) - robustness (evolution) , control theory (sociology) , quadratic equation , computer science , mathematical optimization , mathematics , control (management) , biochemistry , chemistry , geometry , artificial intelligence , gene
Summary This article presents a dissipativity approach for robustness analysis using the framework of integral quadratic constraints (IQCs). The derived results apply for linear time‐varying nominal systems with uncertain initial conditions. IQC multipliers are used to describe the sets of allowable uncertainty operators, and signal IQC multipliers are used to describe the sets of allowable disturbance signals. The novel concepts of dichotomic nodes and their corresponding factorizations are introduced, which allow for the aforementioned multipliers to be general time‐varying operators. The results are illustrated via the robustness analysis of a flight controller for an unmanned aircraft system tasked to perform a Split‐S maneuver.