학술논문

Kullback-Leibler Divergence based Sensor Placement Design for Kalman Filtering of Linear Dynamical Systems
Document Type
Conference
Source
2023 Ninth Indian Control Conference (ICC) Indian Control Conference (ICC), 2023 Ninth. :57-62 Dec, 2023
Subject
Aerospace
Robotics and Control Systems
Sensor placement
Estimation error
Density functional theory
Minimization
Kalman filters
Dynamical systems
State estimation
Sensor placement design
Kullback-Leibler divergence
Kalman filter
Gaussian noise
CSTR
Language
Abstract
In this work, we consider Kullback-Leibler divergence (KLD) based sensor placement design problem where Kalman filter is used to estimate the states of linear dynamical systems. Use of KLD enables sensor placement design while directly incorporating the end-user specified estimation accuracy, and is applicable to both Gaussian and non-Gaussian estimates case. These features are absent in the currently used design approaches. In particular, in the current work, we propose the optimal sensor placement to be the one that minimizes the KLD based distance of the estimation error density function (at large time instant) from the user specified reference density function. Application on case studies and comparison with existing design approaches demonstrates the utility of the proposed approach.