For multi-sensor systems with uncertainties of noise variances, a local robust steady-state Kalman filter with conservative upper bounds of unknown noise variances is presented. Based on the Lyapunov equation, its robustness is proved. Further, the covariance intersection (CI) fusion robust steady-state Kalman filter is presented. It is proved that its robust accuracy is higher than that of each local robust Kalman filter. A Monte-Carlo simulation example shows its correctness and effectiveness.Keywords Multi-sensor data fusion Á Covariance intersection fusion Á Robust Kalman filter Á Uncertain noise variances
IntroductionThe multi-sensor information fusion has received great attentions and has been widely applied in many high-technology fields, such as tracking, signal proceeding, GPS position, robotics and so on. There are three optimal distributed weighted state fusers [1] which have the limitation to compute the optimal weights, the computation of the variances and cross-covariances of the local estimators are required. However, in many application problems, the systems have the uncertainty of model parameters or noise variances, so that the local filtering error variances and cross-covariances are unknown. To solve the filtering problems for