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Kalman filtering with partial observation losses (2004)
| Content Provider | CiteSeerX |
|---|---|
| Author | Liu, Xiangheng Goldsmith, Andrea |
| Abstract | Abstract — We study the Kalman filtering problem when part or all of the observation measurements are lost in a random fashion. We formulate the Kalman filtering problem with partial observation losses and derive the Kalman filter updates with partial observation measurements. We show that with these partial measurements the Kalman filter and its error covariance matrix iteration become stochastic, since they now depend on the random packet arrivals of the sensor measurements, which can be lost or delayed when transmitted over a communication network. The communication network needs to provide a sufficient throughput for each of the sensor measurements in order to guarantee the stability of the Kalman filter, where the throughput captures the rate of the sensor measurements correctly received. We investigate the statistical convergence properties of the error covariance matrix iteration as a function of the throughput of the sensor measurements. A throughput region that guarantees the convergence of the error covariance matrix is found by solving a feasibility problem of a linear matrix inequality. We also find an unstable throughput region such that the state estimation error of the Kalman filter is unbounded. The expected error covariance matrix is bounded both from above and from below. The results are illustrated with some simple numerical examples. I. |
| File Format | |
| Journal | European Journal of Personality |
| Publisher Date | 2004-01-01 |
| Access Restriction | Open |
| Subject Keyword | Random Fashion Partial Observation Loss Communication Network Need Observation Measurement Partial Observation Measurement Kalman Filter Communication Network Sufficient Throughput Error Covariance Matrix State Estimation Error Unstable Throughput Region Throughput Region Kalman Filtering Problem Error Covariance Matrix Iteration Linear Matrix Inequality Simple Numerical Example Statistical Convergence Property Sensor Measurement Feasibility Problem Kalman Filter Update Random Packet Arrival Expected Error Covariance Matrix Partial Measurement |
| Content Type | Text |
