Robustness analysis of uncertain time‐varying systems using integral quadratic constraints with time‐varying multipliers

Abstract

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.

Document Details

Document Type
Pub Defense Publication
Publication Date
Dec 01, 2020
Source ID
10.1002/rnc.5299

Entities

People

  • Dany Abou Jaoude
  • J. Micah Fry
  • Mazen Farhood

Organizations

  • Air Force Materiel Command
  • American University of Beirut
  • Division of Civil, Mechanical & Manufacturing Innovation
  • Massachusetts Institute of Technology
  • National Science Foundation
  • Office of Naval Research
  • Virginia Tech

Tags

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design

Technology Areas

  • Autonomy