Kalman filtering for multiple time-delay systems

Authors:
Xiao Lu;Huanshui Zhang;Wei Wang;Kok-Lay Teo
Affiliations:
Shenzhen Graduate School, Harbin Institute of Technology, HIT Campus, Shenzhen University Town, Xili, Shenzhen, 518055, PR China and Research Center of Information and Control, Dalian University o ...;Shenzhen Graduate School, Harbin Institute of Technology, HIT Campus, Shenzhen University Town, Xili, Shenzhen, 518055, PR China;Research Center of Information and Control, Dalian University of Technology, Dalian, 116023, PR China;The Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong
Venue:
Automatica (Journal of IFAC)
Year:
2005

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Abstract

This paper is to study the linear minimum variance estimation for discrete-time systems with instantaneous and l-time delayed measurements by using re-organized innovation analysis. A simple approach to the problem is presented in this paper. It is shown that the derived estimator involves solving l+1 different standard Kalman filtering with the same dimension as the original system.