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A sum-of-squares-based procedure to approximate the Pontryagin difference of basic semi-algebraic sets.
- Source :
-
Automatica . Jan2022, Vol. 135, pN.PAG-N.PAG. 1p. - Publication Year :
- 2022
-
Abstract
- The P-difference between two sets A and B is the set of all points, C , such that the sum of B to any of the points in C is contained in A. Such a set difference plays an important role in robust model predictive control and set-theoretic control. In this paper, we show that an inner approximation of the P-difference between two sets described by collections of polynomial inequalities can be computed using Sums of Squares Programming. The effectiveness of the procedure is shown with some computational examples. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00051098
- Volume :
- 135
- Database :
- Academic Search Index
- Journal :
- Automatica
- Publication Type :
- Academic Journal
- Accession number :
- 153826900
- Full Text :
- https://doi.org/10.1016/j.automatica.2021.109783