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Published 2005 | public
Book Section - Chapter

Safety Verification of Controlled Advanced Life Support System Using Barrier Certificates

Abstract

In this paper we demonstrate how to construct barrier certificates for safety verification of nonlinear hybrid systems using sum of squares methodologies, with particular emphasis on the computational challenges of the technique when applied to an Advanced Life Support System. The controlled system aims to ensure that the carbon dioxide and oxygen concentrations in a Variable Configuration CO₂ Removal (VCCR) subsystem never reach unacceptable values. The model we use is in the form of a hybrid automaton consisting of six modes each with nonlinear continuous dynamics of state dimension 10. The sheer size of the system makes the task of safety verification difficult to tackle with any other methodology. This is the first application of the sum of squares techniques to the safety verification of an intrinsically hybrid system with such high dimensional continuous dynamics.

Additional Information

© 2005 Springer-Verlag Berlin Heidelberg. This material is based on work supported by NASA Ames Research Center under Contract No. NAS2-01067. We wish to acknowledge our program monitor, Dr. Robert Morris at the NASA Ames Research Center, for his support, suggestions and encouragement throughout the course of this project. We also acknowledge the rest of our team, Ranjana Deshpande, Nitin Lamba, and Shankar Subramanian for their contribution to overall project on designing verifiable hybrid controllers.

Additional details

Created:
August 22, 2023
Modified:
January 14, 2024