Abstract

There are some problems in traditional interacting multiple model algorithms (IMM) when used in target tracking systems. For instance, the mode transition matrix is inaccurate and cannot be determined when the sojourn times are not known. To solve these problems, an optimal mode transition matrix IMM (OMTM-IMM) algorithm is proposed in this paper. The linear minimum variance theory is used to calculate the mode transition matrix which depends on the continuous system state rather than the sojourn times in this algorithm. Moreover, the correlation of the subfilter is considered; hence the covariance matrices are utilized to compute mode transition matrix. In this algorithm, the model probability is defined as a diagonal matrix which is combined with the filters outputs; thus the effects produced by each state can be distinguished. Finally, to verify the superiority of the new algorithm, the theoretical proof and simulation results are given. They show that the OMTM-IMM algorithm can improve the tracking accuracy and can be utilized in the complex environment.

Highlights

  • For an aircraft target tracking system, related technologies include target tracking, control algorithms, and fault detection

  • We propose an OMTM-Interacting multiple model algorithm (IMM) algorithm with the optimal mode transition probabilities

  • To solve the problem that the mode transition matrix is inaccurate and cannot be determined when the sojourn times are not known, the OMTM-IMM algorithm is proposed based on the linear minimum variance theory

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Summary

Introduction

For an aircraft target tracking system, related technologies include target tracking, control algorithms, and fault detection. To further enhance the capability of maneuvering target tracking, many improved IMM algorithms are generated, such as interacting multiple bias model (IMBM) algorithm and variable structure interacting multiple model (VSIMM) algorithm [9,10,11,12,13,14] In these papers, the mode transition matrix only depends on the sojourn times, rather than continuous state. To achieve better real-time performance, in [18], the authors proposed a hybrid estimation algorithm based on the IMM approach with continuous-state-dependent transitions. They derived two models to express the guard conditions.

The Jump Linear Target Tracking Problem
OMTM-IMM Algorithm
The OMTM-IMM Algorithm
Accuracy Analyses
The Known Sojourn Time
The Unknown Sojourn Time
Conclusions
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