TY - JOUR
T1 - Remote state estimation problem:Towards the data-rate limit along the avenue of the second Lyapunov method
AU - Kawan, Christoph
AU - Matveev, A.
AU - Pogromskiy, A.Y. (Sasha)
PY - 2021/3
Y1 - 2021/3
N2 - In the context of control and estimation under information constraints, restoration entropy measures the minimal required data rate above which the state of a system can be estimated so that the estimation quality does not degrade over time and, conversely, can be improved. The remote observer here is assumed to receive its data through a communication channel of finite bit-rate capacity. In this paper, we provide a new characterization of the restoration entropy which does not require to compute any temporal limit, i.e., an asymptotic quantity. Our new formula is based on the idea of finding a specific Riemannian metric on the state space which makes the metric-dependent upper estimate of the restoration entropy as tight as one wishes.
AB - In the context of control and estimation under information constraints, restoration entropy measures the minimal required data rate above which the state of a system can be estimated so that the estimation quality does not degrade over time and, conversely, can be improved. The remote observer here is assumed to receive its data through a communication channel of finite bit-rate capacity. In this paper, we provide a new characterization of the restoration entropy which does not require to compute any temporal limit, i.e., an asymptotic quantity. Our new formula is based on the idea of finding a specific Riemannian metric on the state space which makes the metric-dependent upper estimate of the restoration entropy as tight as one wishes.
U2 - 10.1016/j.automatica.2020.109467
DO - 10.1016/j.automatica.2020.109467
M3 - Article
SN - 0005-1098
VL - 125
JO - Automatica
JF - Automatica
IS - March
M1 - 109467
ER -