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A New TLS-Based Sequential Algorithm to Identify Two Failed Satellites

Chang-Wan Jeon and Gérard Lachapelle
International Journal of Control, Automation, and Systems, vol. 3, no. 2, pp.166-172, 2005

Abstract : With the development of RAIM techniques for single failure, increasing interest has been shown in the multiple failure problem. As a result, numerous approaches have been used in attempts to tackle this problem. This paper considers the two failure problem with total least squares (TLS) technique, a solution that has rarely been addressed because TLS requires an immense number of computations. In this paper, the special form of the observation matrix , (that is, one column is exactly known) is exploited so as to develop an algorithm in a sequential form, thereby reducing computational load. The algorithm permits the advantages of TLS without the excessive computational burden. The proposed algorithm is verified through a numerical simulation.

Keyword : GPS, RAIM, sequential algorithm, total least squares.

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