Abstract
In this paper we synthesize controllers for interconnected systems to enforce parametric assume-guarantee contracts (AGC), which encode behaviors of the systems in some parameter domains. In our approach to solve the design problem, we synthesize a controller for each component of the system so that it satisfies its own parametric AGC separately, and then define a mapping that generates the sequence of parameters for which the corresponding contracts are satisfied after interconnecting the components. Then if a small-gain like condition on the sequence of parameters hold, a parametric AGC is declared for the interconnected system. The classical small-gain theorem on bounded input bounded output (BIBO) stability is recovered by the obtained results showing the relation between the assume-guarantee reasoning and the small-gain approach. We also provide an example of a large-scale transportation system to illustrate our results.
Dokumententyp: | Konferenzbeitrag (Paper) |
---|---|
Fakultät: | Mathematik, Informatik und Statistik > Informatik |
Themengebiete: | 000 Informatik, Informationswissenschaft, allgemeine Werke > 004 Informatik |
ISSN: | 0743-1619 |
Sprache: | Englisch |
Dokumenten ID: | 89027 |
Datum der Veröffentlichung auf Open Access LMU: | 25. Jan. 2022, 09:28 |
Letzte Änderungen: | 26. Jan. 2022, 06:59 |