Abstract The Multi-FOG inertial navigation system (INS), especially for the six-axis FOG INS with the regular dodecahedron configuration, has been widely used in high-reliability navigation. However, observability analysis of the system is still a severe challenge because the traditional method is focused on the orthogonal coordinate system, leading the rank analysis method is unsuitable for the multi-FOG system. In present study, we take the six-axis system as an example and propose a novel sequential observability analysis method to solve the problem. By making full use of the multi-coordinate characteristics of the system, the observability analysis is transformed into a problem that can be solved directly by twenty coordinate systems, which completed the observability characteristics of the system in static environment. Moreover, the hardware-in-the-loop simulation and the covariance analysis are employed to verify the observability conclusion. The results show that the bias errors of the FOGs can be observed in static environment, and all bias converge within 1800 seconds. The convergence accuracies of the FOGs are about 15.3%, 15.6%, 23.3%, 28.6%, 29.3% and 29.6%, respectively. Compared with the existed methods, our method makes full use of the multiple coordinates property to complete the observability characterization, exhibiting the merits of simplicity, validity, and stability, which is expected to be widely used in non-orthogonal multi-axis system.
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