2016/03/30 by Soulaimane Berkane, Berkane, Soulaimane, Abdelhamid Tayebi +1 · 1 citation
Engineering · Mathematics · #Adaptive Control of Nonlinear Systems #Inertial Sensor and Navigation #math.OC
paper · pdf · doi:10.48550/arxiv.1603.09228
Errors have been fixed in another paper by the authors
arxiv created 2016/12/21 · arxiv updated 2016/12/22
We revisit the gradient based nonlinear attitude complementary filters (observers) on the Special Orthogonal group SO(3) and provide explicit solutions of the norm of the attitude estimation error dynamics. One smooth and two non-smooth attitude observers are considered. The stability and performance properties of theses attitude observers can be easily deduced from the obtained explicit solutions. We show that the smooth complementary attitude filter, previously proposed in the literature, is not Input-to-State-Stable (ISS) with respect to bounded measurement disturbances while the non-smooth versions are. We also show that the non-smooth versions of the attitude complementary filter exhibit better convergence rates. Some simulations are provided to illustrate our results.