This paper propees the consistent extended Kalman flter(CEKF)for the maneuvering target tracking(MTT)with nonlinear uncertain dynamics,and applies it on hand poition tracking.The general modlel of the MTT system i pre...This paper propees the consistent extended Kalman flter(CEKF)for the maneuvering target tracking(MTT)with nonlinear uncertain dynamics,and applies it on hand poition tracking.The general modlel of the MTT system i presented with unmodleled dynamics in terms of nonlinear unknown function of states.The CEKF is propoeed to ensure that the bounds of the estimation error's covariance matrix are av ailable through the flter algorithm.As a result,the creponding accuracy of the flter approach can be achieved online.Furthermore,a CEKF-baaed MTT algorithm is constructed via the tumning aw of the critical parameter matrix QE Finally,the efectiveness of CEKF i verified by MTT numerical simulations and hand tacking expeiments under dilferent maneuvens.Specifcally,two indices are employed to compare the CEKF with extended Kalman filter(EKF):the mean square errors(MSEa)and the bounded percentage,ie the percentage of the rang w bere the estimation error is encboed by the bound calculated by algorithms.All MSEs of CEKF are smaller than thoee of EKF,where the worst MSEa of CEKF and EKF are0.14 and 418 in the simulation,a8 well 80.11 and 059 in the expeiments,respectively;all bounded percentages of CEKF are larger than thoee of EKF,where the wonst average bounded percentages of CEKF and EKF ame 87.86%and 14.58%,8 well as 97.41%and 41.79%in the experiments,reapectively.展开更多
基金supported in part by the National Natural Science Foundation of China(Grant Nos.62025307,U1913209,61973299,61873013)the Beijing Natural Science Foundation(Grant No.JQ19020)supported in part by the Key Laboratory of Systems and Control,Chinese Academy of Sciences.
文摘This paper propees the consistent extended Kalman flter(CEKF)for the maneuvering target tracking(MTT)with nonlinear uncertain dynamics,and applies it on hand poition tracking.The general modlel of the MTT system i presented with unmodleled dynamics in terms of nonlinear unknown function of states.The CEKF is propoeed to ensure that the bounds of the estimation error's covariance matrix are av ailable through the flter algorithm.As a result,the creponding accuracy of the flter approach can be achieved online.Furthermore,a CEKF-baaed MTT algorithm is constructed via the tumning aw of the critical parameter matrix QE Finally,the efectiveness of CEKF i verified by MTT numerical simulations and hand tacking expeiments under dilferent maneuvens.Specifcally,two indices are employed to compare the CEKF with extended Kalman filter(EKF):the mean square errors(MSEa)and the bounded percentage,ie the percentage of the rang w bere the estimation error is encboed by the bound calculated by algorithms.All MSEs of CEKF are smaller than thoee of EKF,where the worst MSEa of CEKF and EKF are0.14 and 418 in the simulation,a8 well 80.11 and 059 in the expeiments,respectively;all bounded percentages of CEKF are larger than thoee of EKF,where the wonst average bounded percentages of CEKF and EKF ame 87.86%and 14.58%,8 well as 97.41%and 41.79%in the experiments,reapectively.
