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Compositional Set Invariance in Network Systems with Assume-Guarantee Contracts

Chen, Yuxiao and Anderson, James and Kalsi, Karan and Low, Steven H. and Ames, Aaron D. (2018) Compositional Set Invariance in Network Systems with Assume-Guarantee Contracts. . (Unpublished) http://resolver.caltech.edu/CaltechAUTHORS:20190201-135605069

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Abstract

This paper presents an assume-guarantee reasoning approach to the computation of robust invariant sets for network systems. Parameterized signal temporal logic (pSTL) is used to formally describe the behaviors of the subsystems, which we use as the template for the contract. We show that set invariance can be proved with a valid assume-guarantee contract by reasoning about individual subsystems. If a valid assume-guarantee contract with monotonic pSTL template is known, it can be further refined by value iteration. When such a contract is not known, an epigraph method is proposed to solve for a contract that is valid, ---an approach that has linear complexity for a sparse network. A microgrid example is used to demonstrate the proposed method. The simulation result shows that together with control barrier functions, the states of all the subsystems can be bounded inside the individual robust invariant sets.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1810.10636arXivDiscussion Paper
ORCID:
AuthorORCID
Low, Steven H.0000-0001-6476-3048
Ames, Aaron D.0000-0003-0848-3177
Additional Information:This work is supported by the Battelle Memorial Institute, Pacific Northwest Division, Grant #424858.
Funders:
Funding AgencyGrant Number
Battelle Memorial Institute424858
Record Number:CaltechAUTHORS:20190201-135605069
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20190201-135605069
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:92573
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:01 Feb 2019 22:53
Last Modified:01 Feb 2019 22:53

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