Closed-Loop Estimation for Randomly Sampled Measurements in Target Tracking System
Author(s) -
Xuebo Jin,
Xiaofeng Lian,
Tingli Su,
Yan Shi,
Miao Bei-bei
Publication year - 2014
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2014/315908
Subject(s) - tracking (education) , control theory (sociology) , trajectory , sampling (signal processing) , convergence (economics) , tracking system , computer science , loop (graph theory) , interval (graph theory) , sampling interval , estimation theory , closed loop , exponential function , matrix (chemical analysis) , mathematics , rate of convergence , mathematical optimization , algorithm , statistics , artificial intelligence , kalman filter , control engineering , engineering , control (management) , computer vision , pedagogy , channel (broadcasting) , materials science , filter (signal processing) , economic growth , mathematical analysis , computer network , composite material , psychology , physics , combinatorics , astronomy , economics
Many tracking applications need to deal with the randomly sampled measurements, for which the traditional recursive estimation method may fail. Moreover, getting the accurate dynamic model of the target becomes more difficult. Therefore, it is necessary to update the dynamic model with the real-time information of the tracking system. This paper provides a solution for the target tracking system with randomly sampling measurement. Here, the irregular sampling interval is transformed to a time-varying parameter by calculating the matrix exponential, and the dynamic parameter is estimated by the online estimated state with Yule-Walker method, which is called the closed-loop estimation. The convergence condition of the closed-loop estimation is proved. Simulations and experiments show that the closed-loop estimation method can obtain good estimation performance, even with very high irregular rate of sampling interval, and the developed model has a strong advantage for the long trajectory tracking comparing the other models
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