Use of Tikhonov Regularization to Improve the Accuracy of Position Estimates in Inertial Navigation. (14th April 2011)

• Record Type: Journal Article
• Authors: Nieminen, Tuukka; Kangas, Jari; Kettunen, Lauri
• Other Names: Mohammed Abbas Academic Editor.
• Is Part Of: International journal of navigation and observation. Volume 2011(2011)
• Publication Date: 2011-04-14
• Subjects: Navigation -- Periodicals; Remote sensing -- Periodicals; Geographic information systems -- Periodicals; Global Positioning System -- Periodicals; Earth sciences -- Periodicals; Environmental monitoring -- Periodicals; Navigation; Télédétection; Systèmes d'information géographique; GPS; Sciences de la terre; Environnement -- Surveillance; Earth sciences; Environmental monitoring; Geographic information systems; Global Positioning System; Navigation; Remote sensing; Periodicals; Electronic journals; 629.045
• DOI: 10.1155/2011/450269
• Languages: English
• ISSNs: 1687-5990

Abstract

Abstract : Inertial navigation problems are often understood as initial value problems . However, there are many applications where boundary value problems naturally arise. In these situations, it has been shown that the finite element method can be efficiently used to compute accurate position and velocity estimates. We will propose that finite element method complemented with Tikhonov regularization —a basic tool for inverse problems—is a powerful combination for further accuracy improvements. The proposed method provides a straightforward way to exploit prior information of various types and is subject to rigorous optimality results. Use and accuracy of the proposed method are demonstrated with examples.