Robust region-of-attraction estimation

Ufuk Topcu, Andrew K. Packard, Peter J Seiler Jr, Gary Balas

Research output: Contribution to journalArticle

63 Citations (Scopus)

Abstract

We propose a method to compute invariant subsets of the region-of-attraction for asymptotically stable equilibrium points of polynomial dynamical systems with bounded parametric uncertainty. Parameter-independent Lyapunov functions are used to characterize invariant subsets of the robust region-of-attraction. A branch-and-bound type refinement procedure reduces the conservatism. We demonstrate the method on an example from the literature and uncertain controlled short-period aircraft dynamics.

Original languageEnglish (US)
Article number5337881
Pages (from-to)137-142
Number of pages6
JournalIEEE Transactions on Automatic Control
Volume55
Issue number1
DOIs
StatePublished - Jan 1 2010

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Set theory
Lyapunov functions
Dynamical systems
Aircraft
Polynomials
Uncertainty

Keywords

  • Branch-and-bound
  • Parameter uncertainty
  • Region-of-attraction (ROA)

Cite this

Robust region-of-attraction estimation. / Topcu, Ufuk; Packard, Andrew K.; Seiler Jr, Peter J; Balas, Gary.

In: IEEE Transactions on Automatic Control, Vol. 55, No. 1, 5337881, 01.01.2010, p. 137-142.

Research output: Contribution to journalArticle

Topcu, Ufuk ; Packard, Andrew K. ; Seiler Jr, Peter J ; Balas, Gary. / Robust region-of-attraction estimation. In: IEEE Transactions on Automatic Control. 2010 ; Vol. 55, No. 1. pp. 137-142.
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