Title
Variable elimination for scalable receding horizon temporal logic planning
Abstract
Correct-by-construction synthesis of high-level reactive control relies on the use of formal methods to generate controllers with provable guarantees on their behavior. While this approach has been successfully applied to a wide range of systems and environments, it scales poorly. A receding horizon framework mitigates this computational blowup, by decomposing the global control problem into several tractable subproblems. The existence of a global controller is ensured through symbolic checks of the specification, and local controllers are synthesized when needed. This reduces the size of the synthesized strategy, but still scales poorly for problems with dynamic environments because of the large number of environment strategies in each subproblem. Ad-hoc methods to locally restrict the environment come with the risk of losing correctness. We present a method for reducing the size of these subproblems by eliminating locally redundant variables, while maintaining correctness of the local (and thus global) controllers. We demonstrate the method using an autonomous car example, on problem sizes that were previously unsolvable due to the number of variables in the environment. We also demonstrate how the reduced specifications can be used to identify opportunities for reusing the synthesized local controllers.
Year
DOI
Venue
2015
10.1109/ACC.2015.7171013
ACC
Field
DocType
ISSN
Data structure,Variable elimination,Control theory,Control theory,Computer science,Correctness,Control engineering,Autonomous system (Internet),Temporal logic,Formal methods,Scalability
Conference
0743-1619
ISBN
Citations 
PageRank 
978-1-4799-8685-9
0
0.34
References 
Authors
12
3
Name
Order
Citations
PageRank
Mattias Falt152.21
Vasumathi Raman215014.07
Richard M. Murray3123221223.70