]> 2026-07-02T11:04:00+00:00 Multi-dimensional state estimation in adversarial environment 0 en We consider the estimation of a vector state based on m measurements that can be potentially manipulated by an adversary. The attacker is assumed to have limited resources and can only manipulate up to l of the m measurements. However, it can the compromise measurements arbitrarily. The problem is formulated as a minimax optimization, where one seeks to construct an optimal estimator that minimizes the âworst-caseâ error against all possible manipulations by the attacker and all possible sensor noises. We show that if the system is not observable after removing 2l sensors, then the worst-case error is infinite, regardless of the estimation strategy. If the system remains observable after removing arbitrary set of 2l sensor, we prove that the optimal state estimation can be computed by solving a semidefinite programming problem. A numerical example is provided to illustrate the effectiveness of the proposed state estimator. Yilin Mo and Richard M. Murray 2015a Submitted, 2015 Chinese Control Conference (CCC) mm15-ccc Conference Paper 2016-05-15T05:39:27Z 2457523.7357292 Multi-dimensional state estimation in adversarial environment Title 102 en Title