In order to study on tracking problem of multiple model target affected by multiplicative noises and obtain better performance

by combining the Kalman filter with multiplicative noises and the interacting multiple model（ IMM） algorithm

an IMM algorithm is obtained under the multiplicative noises environment. According to actual motion law of the target

the uniform motion model and the constant acceleration motion model are constructed. Observation position information detected by sensor is calculated using IMM algorithm under the multiplicative noises interference. According to the minimum mean square error（ MSE） criterion

the estimation value is got. Simulation results show that

compared with the classic IMM algorithm

the proposed IMM algorithm with multiplicative noises interferences has better performance in target tracking application.