Title
A new simulation metric to determine safe environments and controllers for systems with unknown dynamics.
Abstract
We consider the problem of extracting safe environments and controllers for reach-avoid objectives for systems with known state and control spaces, but unknown dynamics. In a given environment, a common approach is to synthesize a controller from an abstraction or a model of the system (potentially learned from data). However, in many situations, the relationship between the dynamics of the model and the actual system is not known; and hence it is difficult to provide safety guarantees for the system. In such cases, the Standard Simulation Metric (SSM), defined as the worst-case norm distance between the model and the system output trajectories, can be used to modify a reach-avoid specification for the system into a more stringent specification for the abstraction. Nevertheless, the obtained distance, and hence the modified specification, can be quite conservative. This limits the set of environments for which a safe controller can be obtained. We propose SPEC, a specification-centric simulation metric, which overcomes these limitations by computing the distance using only the trajectories that violate the specification for the system. We show that modifying a reach-avoid specification with SPEC allows us to synthesize a safe controller for a larger set of environments compared to SSM. We also propose a probabilistic method to compute SPEC for a general class of systems. Case studies using simulators for quadrotors and autonomous cars illustrate the advantages of the proposed metric for determining safe environment sets and controllers.
Year
DOI
Venue
2019
10.1145/3302504.3311795
HSCC
Keywords
DocType
Volume
Simulation metric, Safe environment assumptions, Safe controller synthesis, Model-mismatch, Reach-avoid objectives, Scenario optimization
Journal
abs/1902.10320
ISBN
Citations 
PageRank 
978-1-4503-6282-5
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Shromona Ghosh1769.47
Somil Bansal2559.65
Alberto L. Sangiovanni-Vincentelli3113851881.40
Sanjit A. Seshia42226168.09
claire j tomlin51174141.27