Title
Computing Robust Controlled Invariant Sets of Linear Systems
Abstract
We consider controllable linear discrete-time systems with bounded perturbations and present two methods to compute robust controlled invariant sets. The first method tolerates an arbitrarily small constraint violation to compute an arbitrarily precise outer approximation of the maximal robust controlled invariant set, while the second method provides an inner approximation. The outer approximation scheme is -complete, given that the constraint sets are formulated as finite unions of polytopes.
Year
DOI
Venue
2016
10.1109/TAC.2017.2672859
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Robustness,Trajectory,Approximation algorithms,Convergence,Linear systems,Force,Heuristic algorithms
Convergence (routing),Approximation algorithm,Mathematical optimization,Linear system,Robustness (computer science),Polytope,Invariant (mathematics),Mathematics,Trajectory,Bounded function
Journal
Volume
Issue
ISSN
abs/1601.00416
7
0018-9286
Citations 
PageRank 
References 
11
0.74
5
Authors
2
Name
Order
Citations
PageRank
Matthias Rungger110513.44
Paulo Tabuada24281264.80