BIMSA > Seminar on Control Theory and Nonlinear Filtering Chandrasekhar-based Maximum Correntropy Kalman Filtering with the Adaptive Kernel Size Selection
Chandrasekhar-based Maximum Correntropy Kalman Filtering with the Adaptive Kernel Size Selection
Organizer
Shing Toung Yau
Speaker
Yangtianze Tao
Time
Friday, November 10, 2023 9:30 PM - 10:00 PM
Venue
Online
Abstract
In this presentation, we shall introduce the Chandrasekhar-type recursion for the maximum correntropy criterion (MCC) Kalman filtering (KF). For the classical KF, the first Chandrasekhar difference equation was proposed at the beginning of 1970s. This is the alternative to the traditionally used Riccati recursion and it yields the so-called fast implementations known as the Morf-Sidhu-Kailath-Sayed KF algorithms. They are proved to be computationally cheap because of propagating the matrices of a smaller size than n × n error covariance matrix in the Riccati recursion. The problem of deriving the Chandrasekhar-type recursion within the MCC estimation methodology has never been raised yet in engineering literature. In this technical note, we do the first step and derive the Chandrasekhar MCC-KF estimators for the case of adaptive kernel size selection strategy, which implies a constant scalar adjusting weight. Numerical examples substantiate a practical feasibility of the newly suggested MCC-KF implementations and correctness of the presented theoretical derivations.