Topcu, Ufuk and Packard, Andrew K. and Seiler, Peter and Balas, Gary J. (2010) Robust Region-of-Attraction Estimation. IEEE Transactions on Automatic Control, 55 (1). pp. 137-142. ISSN 0018-9286 http://resolver.caltech.edu/CaltechAUTHORS:20100208-095827914
- Published Version
See Usage Policy.
Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:20100208-095827914
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.
|Additional Information:||© 2009 IEEE. 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.|
|Subject Keywords:||Branch-and-bound; parameter uncertainty; region-of-attraction (ROA)|
|Official Citation:||Robust Region-of-Attraction Estimation Topcu, U.; Packard, A.K.; Seiler, P.; Balas, G.J.; Automatic Control, IEEE Transactions on Volume 55, Issue 1, Jan. 2010 Page(s):137 - 142|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||11 Feb 2010 19:08|
|Last Modified:||26 Dec 2012 11:45|
Repository Staff Only: item control page