
We derive an exact deterministic nonlinear observer to compute the continuous state of an inertial navigation system based on partial discrete measurements, the so-called strapdown problem. Nonlinear contraction is used as the main analysis tool, and the hierarchical structure of the system physics is sytematically exploited. The paper also discusses the use of nonlinear measurements, such as distances to time-varying reference points.
Observability, robot localisation, Automated systems (robots, etc.) in control theory, contraction theory, hybrid systems, Optimization and Control (math.OC), nonlinear observers, Control of mechanical systems, FOS: Mathematics, inertial navigation, head stabilization, Mathematics - Optimization and Control
Observability, robot localisation, Automated systems (robots, etc.) in control theory, contraction theory, hybrid systems, Optimization and Control (math.OC), nonlinear observers, Control of mechanical systems, FOS: Mathematics, inertial navigation, head stabilization, Mathematics - Optimization and Control
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