2014/12/14 by Shoukry, Yasser, Nuzzo, Pierluigi, Puggelli, Alberto +3 · 1 citation
#Cryptography and Security (cs.CR) #FOS: Computer and information sciences #FOS: Electrical engineering #FOS: Mathematics #Information Theory (cs.IT) #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · doi:10.48550/arxiv.1412.4324
We address the problem of detecting and mitigating the effect of malicious attacks to the sensors of a linear dynamical system. We develop a novel, efficient algorithm that uses a Satisfiability-Modulo-Theory approach to isolate the compromised sensors and estimate the system state despite the presence of the attack, thus harnessing the intrinsic combinatorial complexity of the problem. By leveraging results from formal methods over real numbers, we provide guarantees on the soundness and completeness of our algorithm. We then report simulation results to compare its runtime performance with alternative techniques. Finally, we demonstrate its application to the problem of controlling an unmanned ground vehicle.