A Merged IQC/SOS Theory for Analysis and Synthesis of Nonlinear Control Systems

Abstract

The connections between dissipation inequalities and integral quadratic constraints (IQCs) was the major thrust explored during the program. In particular, it was shown that existing frequency domain IQC analysis conditions are equivalent (under mild technical assumptions) to a related time-domain dissipation inequality condition. This time-domain approach enables applications of IQCs to analyze the robustness of uncertain time-varying and nonlinear systems. These theoretical techniques can be used to improve the design and robustness of advanced flight control algorithms.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 23, 2015
Accession Number
AD1001405

Entities

People

  • Andrew Packard
  • Gary Balas
  • Pete Seiler

Organizations

  • University of Minnesota

Tags

Communities of Interest

  • Autonomy
  • C4I
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Algorithms
  • Closed Loop Systems
  • Control Systems
  • Differential Equations
  • Dissipation
  • Electronic Mail
  • Equations
  • Frequency
  • Frequency Domain
  • Human-Machine Interaction
  • Inequalities
  • Integrals
  • Nonlinear Systems
  • Stability Conditions
  • Time Domain

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)