IQC-based robustness analysis of discrete-time linear time-varying systems

J. Micah Fry, Mazen Farhood, Peter J Seiler Jr

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The paper investigates the robust stability and performance of uncertain linear time-varying (LTV) systems using an integral quadratic constraint (IQC) based analysis approach. Specifically, previous theoretical work on IQC-based robustness analysis of linear time-invariant (LTI) systems is extended to discrete-time LTV systems. In the case of a general LTV nominal system, the analysis solution is provided in terms of an infinite-dimensional convex optimization problem. This optimization problem reduces into a finite-dimensional semidefinite program when the nominal system in question is finite horizon, periodic, or, more generally, eventually periodic. Finally, the results are applied to an unmanned aircraft control system executing an aggressive maneuver, where the developed techniques are used to find the region in which the aircraft is guaranteed to reside at the end of its planned trajectory.

Original languageEnglish (US)
Pages (from-to)3135-3157
Number of pages23
JournalInternational Journal of Robust and Nonlinear Control
Volume27
Issue number16
DOIs
StatePublished - Nov 10 2017

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Time varying systems
Aircraft control
Convex optimization
Trajectories
Aircraft
Control systems

Keywords

  • control
  • discrete-time systems
  • integral quadratic constraints
  • linear fractional transformation
  • robustness analysis
  • time-varying systems

Cite this

IQC-based robustness analysis of discrete-time linear time-varying systems. / Fry, J. Micah; Farhood, Mazen; Seiler Jr, Peter J.

In: International Journal of Robust and Nonlinear Control, Vol. 27, No. 16, 10.11.2017, p. 3135-3157.

Research output: Contribution to journalArticle

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