Abstract：There are two shortcomings in the standard interacting multiple model (IMM) algorithm:one is that designing models is difficult,the other is that the application of constant transition probability matrices makes the model switching speed slow and tracking accuracy decreased.To overcome these shortcomings,an IMM algorithm with adaptive transition probability is proposed.Firstly,a new model-set design method is proposed,and the strong tracking modified input estimation (STMIE) model and constant velocity (CV) model are adopted as the model sets of the IMM algorithm.By using the capability of STMIE model to track high maneuvering targets and the precision of CV model to track non-maneuvering targets,this algorithm can be comprehensively adaptive in target tracking.Secondly,a new method is proposed to modify the Markov transition probability in real time based on the likelihood values of the models,which enhances the effect of the matching model,and weakens the influence of the mismatched model.Simulation results show that the new method improves model switching speed and tracking precision of IMM algorithm,and the tracking precision of IMM-STMIECV algorithm is higher than that of IMM-CVCA,IMM-CVCACT and IMM-CVCS algorithms.
[1] Xu L,Li X R,Duan Z.Hybrid grid multiple-model estimation with application to maneuvering target tracking[J].IEEE Transactions on Aerospace and Electronic Systems,2016,52(1):122-136.
[2] Sithiravel R,Mcdonald M,Balaji B,et al.Multiple model spline probability hypothesis density filter[J].IEEE Transactions on Aerospace and Electronic Systems,2016,52(3):1210-1226.
[3] Nemeth C,Fearnhead P,Mihaylova L.Sequential monte carlo methods for state and parameter estimation in abruptly changing environments[J].IEEE Transactions on Signal Processing,2014,62(5):1245-1255.
[4] Khaloozadeh H,Karsaz A.Modified input estimation technique for tracking maneuvering targets[J].IET Radar Sonar Navigation,2009,3(1):30-41.
[5] 杨金龙,姬红兵,樊振华.强跟踪输入估计概率假设密度多机动目标跟踪算法[J].控制理论与应用,2011,28(8):1164-1170. Yang Jin-long,Ji Hong-bing,Fan Zhen-hua.Strong tracking modified input estimation probability hypothesis density for multiple maneuvering targets tracking[J].Journal of Control Theory and Applications,2011,28(8):1164-1170.(in Chinese)
[6] Lan J,Li X R,Mu C.Best model augmentation for variable-structure multiple-model estimation[J].Aerospace and Electronic Systems,IEEE Transactions on,2011,47(3):2008-2025.
[7] Li W,Jia Y.An information theoretic approach to interacting multiple model estimation[J].IEEE Transactions on Aerospace and Electronic Systems,2015,51(3):1811-1825.
[8] 刘先省,胡振涛,金勇,等.基于粒子优化的多模型粒子滤波算法[J].电子学报,2010,38(2):301-306. Liu Xian-xing,Hu Zhen-tao,Jin Yong,et al.A novel multiple model particle filter algorithm based on particle optimization[J].Acta Electronica Sinica,2010,38(2):301-306.(in Chinese)
[9] 万九卿,梁旭,马志峰.基于自适应观测模型交互多模型粒子滤波的红外机动目标跟踪[J].电子学报,2011,39(3):602-608. Wan Jiu-qing,Liang Xu,Ma Zhi-feng.Infrared maneuvering target tracking based on IMM-PF with adaptive observation model[J].Acta Electronica Sinica,2011,39(3):602-608.(in Chinese)
[10] 郭志,董春云,蔡远利,等.时变转移概率IMM-SRCKF机动目标跟踪算法[J].系统工程与电子技术,2015(1):24-30. Guo Zhi,Dong Chun-yun,Cai Yuan-li,et al.Time-varying transition probability based IMM-SRCKF algorithm for maneuvering target tracking[J].Journal of Systems Engineering and Electronics,2015(1):24-30.(in Chinese)
[11] Wang G.ML Estimation of transition probabilities in jump markov systems via convex optimization[J].IEEE Transactions on Aerospace and Electronic Systems,2010,46(3):1492-1502.
[12] Guo R,Shen M,Huang D,et al.Recursive estimation of transition probabilities for jump Markov linear systems under minimum Kullback-Leibler divergence criterion[J].Iet Control Theory & Applications,2015,9(17):2491-2499.
[13] 臧荣春,崔平远.马尔可夫参数自适应IFIMM算法研究[J].电子学报,2006,34(3):521-524. Zang Rong-chun,Cui Ping-yuan.Research on adaptive markov parameter IFIMM algorithm[J].Acta Electronica Sinica,2006,34(3):521-524.(in Chinese)
[14] Yuan T,Bar-Shalom Y,Willett P,et al.A multiple IMM estimation approach with unbiased mixing for thrusting projectiles[J].IEEE Transactions on Aerospace Electronic Systems,2012,48(4):3250-3267.
[15] Zhu L,Cheng X.High manoeuvre target tracking in coordinated turns[J].IET Radar Sonar Navigation,2015,9(8):1078-1087.
[16] Blackman S S,Popoli R.Design and Analysis of Modern Tracking Systems[M].Boston:Artech House,1999.224-240.
[17] Farrell W.Interacting multiple model filter for tactical ballistic missile tracking[J].IEEE Transactions on Aerospace and Electronic Systems,2008,44(2):418-426.
[18] 何友,修建娟,关欣,等.雷达数据处理及应用(第三版)[M].北京:电子工业出版社,2013.44-47.
2017, Vol. 45 
