H∞ Filtering Approach for GSM Navigation Systems
Institute of Automatic Control Engineering, Feng Chia University
The GSM navigation system designs using H∞ filtering approach is conducted and the resulting performance is assessed. The H∞ filtering problem is shown to have many solutions for each proper value of the prescribed design parameter γ, which is different from the Kalman filter with only one solution. The Kalman filter, which employed in the GSM receiver as the navigational state estimator, provides optimal solution if the noise statistics for both the measurement and the system process are completely known. Practically, the noises are varying with time, which results in filtering performance degradation. In design, H∞ filter can be employed to ensure that the energy gain from the disturbances to the estimation error will not exceed an upper bound.
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