Title
From Uncertainty Data to Robust Policies for Temporal Logic Planning.
Abstract
We consider the problem of synthesizing robust disturbance feedback policies for systems performing complex tasks. We formulate the tasks as linear temporal logic specifications and encode them into an optimization framework via mixed-integer constraints. Both the system dynamics and the specifications are known but affected by uncertainty. The distribution of the uncertainty is unknown, however realizations can be obtained. We introduce a data-driven approach where the constraints are fulfilled for a set of realizations and provide probabilistic generalization guarantees as a function of the number of considered realizations. We use separate chance constraints for the satisfaction of the specification and operational constraints. This allows us to quantify their violation probabilities independently. We compute disturbance feedback policies as solutions of mixed-integer linear or quadratic optimization problems. By using feedback we can exploit information of past realizations and provide feasibility for a wider range of situations compared to static input sequences. We demonstrate the proposed method on two robust motion-planning case studies for autonomous driving.
Year
DOI
Venue
2018
10.1145/3178126.3178136
HSCC
Keywords
Field
DocType
Temporal logic, Data-driven, Robust mixed-integer optimization, Disturbance feedback
ENCODE,Mathematical optimization,Exploit,Linear temporal logic,System dynamics,Quadratic programming,Temporal logic,Probabilistic logic,Mathematics
Conference
ISSN
ISBN
Citations 
Proceedings of the 21st International Conference on Hybrid Systems: Computation and Control (part of CPS Week) (HSCC '18). 2018, 157-166
978-1-4503-5642-8
1
PageRank 
References 
Authors
0.35
27
4
Name
Order
Citations
PageRank
Pier Giuseppe Sessa133.55
Damian Frick272.84
Tony A. Wood3133.34
Maryam Kamgarpour418027.26