Local stability analysis for uncertain nonlinear systems using a branch-and-bound algorithm

Ufuk Topcu; Andrew Packard; Peter Seiler; Gary Balas

doi:10.1109/ACC.2008.4587023

Local stability analysis for uncertain nonlinear systems using a branch-and-bound algorithm

Ufuk Topcu, Andrew Packard, Peter Seiler, Gary Balas

Aerospace Engineering and Mechanics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

Abstract

We propose a method to compute invariant subsets of the region-of-attraction for the 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 is implemented to reduce the conservatism. We demonstrate the method on a two-state example from the literature and five-state controlled short period aircraft dynamics with and without time delay in the input to the plant.

Original language	English (US)
Title of host publication	2008 American Control Conference, ACC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1211-1216
Number of pages	6
ISBN (Print)	9781424420797
DOIs	https://doi.org/10.1109/ACC.2008.4587023
State	Published - 2008
Event	2008 American Control Conference, ACC - Seattle, WA, United States Duration: Jun 11 2008 → Jun 13 2008

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Other

Other	2008 American Control Conference, ACC
Country/Territory	United States
City	Seattle, WA
Period	6/11/08 → 6/13/08

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10.1109/ACC.2008.4587023

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Local stability analysis for uncertain nonlinear systems using a branch-and-bound algorithm. / Topcu, Ufuk; Packard, Andrew; Seiler, Peter et al.
2008 American Control Conference, ACC. Institute of Electrical and Electronics Engineers Inc., 2008. p. 1211-1216 4587023 (Proceedings of the American Control Conference).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Topcu, U, Packard, A, Seiler, P & Balas, G 2008, Local stability analysis for uncertain nonlinear systems using a branch-and-bound algorithm. in 2008 American Control Conference, ACC., 4587023, Proceedings of the American Control Conference, Institute of Electrical and Electronics Engineers Inc., pp. 1211-1216, 2008 American Control Conference, ACC, Seattle, WA, United States, 6/11/08. https://doi.org/10.1109/ACC.2008.4587023

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Local stability analysis for uncertain nonlinear systems using a branch-and-bound algorithm

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