Robust region-of-attraction estimation

Ufuk Topcu; Andrew K. Packard; Peter Seiler; Gary J. Balas

doi:10.1109/TAC.2009.2033751

Robust region-of-attraction estimation

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

Aerospace Engineering and Mechanics

Research output: Contribution to journal › Article › peer-review

107 Scopus citations

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 language	English (US)
Article number	5337881
Pages (from-to)	137-142
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	55
Issue number	1
DOIs	https://doi.org/10.1109/TAC.2009.2033751
State	Published - Jan 2010

Bibliographical note

Funding Information:
Manuscript received July 14, 2008; revised February 01, 2009 and July 22, 2009. First published November 17, 2009; current version published January 13, 2010. This work was supported by the Air Force Office of Scientific Research, USAF, under Grant FA9550-05-1-0266. Recommended by Associate Editors S. Selikovsky and G. Chesi.

Keywords

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

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10.1109/TAC.2009.2033751

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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.",

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note = "Funding Information: Manuscript received July 14, 2008; revised February 01, 2009 and July 22, 2009. First published November 17, 2009; current version published January 13, 2010. This work was supported by the Air Force Office of Scientific Research, USAF, under Grant FA9550-05-1-0266. Recommended by Associate Editors S. Selikovsky and G. Chesi.",

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AU - Packard, Andrew K.

AU - Seiler, Peter

AU - Balas, Gary J.

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N2 - 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.

AB - 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.

KW - Branch-and-bound

KW - Parameter uncertainty

KW - Region-of-attraction (ROA)

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JO - IEEE Transactions on Automatic Control

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ER -

Robust region-of-attraction estimation

Abstract

Bibliographical note

Keywords

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