Title
Optimization of Stable Periodic Attractors for Nonlinear Dynamic Systems.
Abstract
In this paper we discuss numerical strategies to find periodic orbits of nonlinear dynamic system. These orbits shall be open-loop stable and robust with respect to bounded disturbances. For this aim, we review and extend existing techniques from the field of reachability analysis and ellipsoidal calculus to compute robust positive invariant tubes for nonlinear dynamic systems. We suggest a conservative approximation strategy for robust stability optimization providing guarantees on the region of attraction. The technique is tested by applying it to an inverted spring pendulum for which robust and open-loop stable orbits exist.
Year
DOI
Venue
2012
10.3182/20120620-3-DK-2025.00131
IFAC Proceedings Volumes
DocType
Volume
Issue
Conference
45
13
ISSN
Citations 
PageRank 
1474-6670
0
0.34
References 
Authors
8
2
Name
Order
Citations
PageRank
Boris Houska121426.14
Moritz Diehl21343134.37