Integrity Risk Minimisation in RAIM Part 2: Optimal Estimator Design

Integrity Risk of Kalman Filter-Based RAIM

This paper introduces a new Kalman filter-based receiver autonomous integrity monitoring (RAIM) method for navigation systems that require measurement filtering over time (such as integrated GPS/INS navigation or carrier phase positioning). In contrast with existing sequential fault-detection algorithms, the proposed method is computationally efficient, straightforward to implement, and most im...

Optimal Positioning for Advanced Raim

In the next decade, several important developments will have a major impact on civil aviation: the deployment of Galileo and Compass, the modernization of GPS, and the fact that all these core constellations will broadcast navigation signals in two distinct frequencies that fall in the L1/E1 and L5/E5, which fall in the Aeronautical Radio Navigation Satellite Service (ARNSS) space. As a consequ...

Parametric Optimal Design Part I

Risk Assessment and Integrity in System Design

1 This work was supported by the United States Department of Energy under Contract DE-AC04-94AL85000. Sandia is a multi-program laboratory operated by Sandia Corporation, a Lockheed Martin Company, for the United States Department of Energy. Abstract All systems, regardless of how carefully they have been constructed, suffer failures. This paper focuses on developing a formal understanding of f...

Optimal L2-gain estimator design for distributed parameter systems

This paper considers the optimal induced L2gain estimator design problem for infinite dimensional systems with finite dimensional outputs. It is shown that this problem is equivalent to a dual regulator design problem. Moreover the relationship between the dual problem and a two player differential game is established. A solution to the latter problem is derived which, in turn solves the dual r...