Angular velocity nonlinear observer from vector measurements. (January 2017)

• Record Type: Journal Article
• Authors: Magnis, Lionel; Petit, Nicolas
• Is Part Of: Automatica. Volume 75(2017)
• Page Start: 46
• Page End: 53
• Publication Date: 2017-01
• Subjects: Sensor and data fusion -- Nonlinear observer and filter design -- Time-varying systems -- Guidance navigation and control; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2016.09.027
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This paper proposes a technique to estimate the angular velocity of a rigid body from vector measurements. Compared to the approaches presented in the literature, it does not use attitude information nor rate gyros as inputs. Instead, vector measurements are directly filtered through a nonlinear observer estimating the angular velocity. Convergence is established using a detailed analysis of the linear-time varying dynamics appearing in the estimation error equation. This equation stems from the classic Euler equations and measurement equations. A high gain design allows to establish local uniform exponential convergence. Simulation results are provided to illustrate the method.