Compositional bounded reachability using time partitioning and abstraction

Automatic verification of cyber-physical systems (CPS) typically involves computing the reachable set of states of such systems. This computation is known to be exponential in the number of continuous variables. For systems that can be decomposed into separate components with lower dimensionality, we present an algorithm that verifies global safety properties of the complete system using the reach sets of the components. Here, the components are only coupled through a shared time variable. Using a satellite system case study, we are able to show significant savings in memory and runtime computation costs for this approach. For systems whose components are coupled through additional continuous variables, we present an abstraction to overapproximate the interaction between the components such that the aforementioned algorithm can be used. The feasibility of this abstraction is demonstrated experimentally, which also shows additional work is necessary to develop a more efficient abstraction.

Name thesis:degree_name

M.S.

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Electrical & Computer Engr

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2012

Author dc:creator

• Green, Jeremy

Contributors dc:contributor

• Mitra, Sayan

• bounded reachability
• decomposition
• composition
• hybrid system
• abstraction
• safety verification

Statement dc:rights

• Copyright 2012 Jeremy Green

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/34351

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/34351