Observability and controllability of piecewise affine and hybrid systems

Citation
A. Bemporad et al., Observability and controllability of piecewise affine and hybrid systems, IEEE AUTO C, 45(10), 2000, pp. 1864-1876
Citations number
39
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN journal
00189286 → ACNP
Volume
45
Issue
10
Year of publication
2000
Pages
1864 - 1876
Database
ISI
SICI code
0018-9286(200010)45:10<1864:OACOPA>2.0.ZU;2-S
Abstract
In this paper, me prove, in a constructive way, the equivalence between pie cewise affine systems and a broad class of hybrid systems described by inte racting linear dynamics, automata, and propositional logic. By focusing our investigation on the former class, we show through counterexamples that ob servability and controllability properties cannot be easily deduced from th ose of the component linear subsystems. Instead, rye propose practical nume rical tests based on mixed-integer linear programming.