DocumentCode
3530289
Title
Explicit invariant approximation of the mRPI set for LTI dynamics with zonotopic disturbances
Author
Stoican, Florin ; Hovd, Morten ; Olaru, Sorin
Author_Institution
Dept. of Eng. Cybern., Norwegian Univ. of Sci. & Technol. (NTNU), Trondheim, Norway
fYear
2013
fDate
10-13 Dec. 2013
Firstpage
3237
Lastpage
3242
Abstract
In this paper we provide a robust positive invariance (RPI) over-approximation of the minimal RPI (mRPI) set associated for linear dynamics with zonotopic disturbances. We prove that the RPI construction converges toward the mRPI set and its conservatism diminishes monotonically with respect to the complexity of the representation (a “tightness” coefficient is calculated a priori). The results are tested in illustrative examples.
Keywords
approximation theory; convergence of numerical methods; invariance; linear systems; set theory; LTI dynamics; RPI construction; conservatism; explicit invariant approximation; linear dynamics; mRPI set; minimal RPI set; representation complexity; robust positive invariance; robust positive invariance over-approximation; tightness coefficient; zonotopic disturbances; Approximation methods; Complexity theory; Economic indicators; Eigenvalues and eigenfunctions; Generators; Robustness; Trajectory;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location
Firenze
ISSN
0743-1546
Print_ISBN
978-1-4673-5714-2
Type
conf
DOI
10.1109/CDC.2013.6760377
Filename
6760377
Link To Document