Title
Adaptive strategies for rLTL games
Abstract
ABSTRACTWe consider the problem of synthesizing the most robust controllers using the Abstraction-Based Controller Design (ABCD). First, we perform a finite-state abstraction of the continuous dynamic system. We then synthesize a most robust control strategy in the finite space by formulating it as a two-player game. Finally, we refine the strategy to a controller for the original problem. To preserve robustness, we consider the specifications for the controllers to be expressed in Robust Linear Temporal Logic (rLTL), which allows the reasoning about how robust the specification is. However, the current algorithms for rLTL synthesis do not compute optimally robust controllers. It only considers the worst-case analysis for reactive synthesis. Hence, we develop two new notions of adaptive strategies. One is Weakly Adaptive strategy, which, in response to the opponent's bad choices, adaptively changes the degree of satisfaction we want to achieve to ensure the optimality w.r.t. the current stage. The second one is Strongly adaptive strategy, which is weakly adaptive that also maximizes the chances of the opponent making a bad choice. We show that the computability problem for both the strategies is not harder than the classical one and can be solved in doubly-exponential time.
Year
DOI
Venue
2021
10.1145/3447928.3457210
Cyber-physical Systems
DocType
Citations 
PageRank 
Conference
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Satya Prakash Nayak100.34
Daniel Neider215321.97
Martin Zimmermann 000233510.88