journal "Gyroscopy and Navigation" /  Books: 2005 2004 2002 2000-2001 1997-1999   
 
  S.P.Dmitriev, N.V.Kolesov. A.V.Osipov
Information Reliability, Monitoring and Diagnostics of Navigation Systems
St. Petersburg: SRC of Russia - CSRI "Elektropribor". 2003. - p.207

Price - 60 RUR

© SRC of Russia - CSRI "Elektropribor". 2003.
© S.P.Dmitriev, N.V.Kolesov. A.V.Osipov, 2003.
ISBN 5-900780-46-5

Concepts of information failure and information reliability of navigation systems (NS) are introduced.
Procedures are considered to calculate NS information reliability, which are based on its error approximation by random diffusion and Markov jump processes. Techniques of the theory of runs and the Fokker-Planck-Kolmogorov equations solution are employed in the procedures.
Effective algorithms are proposed and analyzed for monitoring and diagnostics of information failures and NS malfunctions. The algorithms are based on methods for nonlinear multiple-choice filtration and are supposed to use Kalman filter bank. Examples are given for implementing monitoring and diagnostics for inertial and satellite NS.

The book is intended for wide range of specialists engaged in the field of NS designing. The book contains necessary reference information in mathematical statistics for better understanding the cited material.

Bibliograph.: 99, Fig.44, Tab. 2

CONTENTS

Foreword 3
Introduction 5
Chapter 1. Foundations of General Reliability Theory for Technical Systems 14
1.1. Technical System Hardware Reliability. Probabilistic Assessment 14
1.2. Simple Flow of Events and Markov Models for Technical System Operation 19
1.3. Reliability of Redundant Technical Systems 26
1.4. Monitoring and Diagnostics of Technical Systems 35
Chapter 2. Error Model and Information Reliability Assessment of Navigation Systems 42
2.1. Characteristics of Scalar Random Processes 44
2.2. Vector Markov Processes 52
2.3. Stochastic Error Models of Navigation System 56
2.4. Runs of Random Markov Processes. Fokker-Planck-Kolmogorov Equations 68
2.5. NS Information Reliability Assessment under Diffusion Error Models 74
2.6. NS Information Reliability Assessment under Jump Error Models 81
Chapter 3. Information Failures and Malfunctions in Navigation Systems. Monitoring and Diagnostics Methods 89
3.1. Monitoring and Diagnostics of Information Failures and Malfunctions as a Decision Problem 89
3.2. Review of Known Approaches to Solving Monitoring and Diagnostics Problems for Information Failures and Malfunctions 96
3.3. Estimation of Determined Dynamic System State 100
3.4. Optimal Estimation of Stochastic Dynamic System State 107
3.5. Monitoring and Diagnostics of Information Failures and Malfunctions in NS by Optimal Methods for Multiple-Choice Filtration 115
3.6. Monitoring and Diagnostics of Information Failures and Malfunctions in NS by Suboptimal Methods for Multiple-Choice Filtration 129
Chapter 4. Information Failures and Malfunctions of Navigation Systems. Examples of Monitoring and Diagnostics 137
4.1. Monitoring of Satellite Navigation System Integrity 137
4.2. Monitoring and Diagnostics of Information Failures in Redundant Autonomous System of Marine Navigation 146
4.3. Monitoring and Diagnostics of Information Failures in Low Redundant Autonomous System of Marine Navigation 157
Appendix 1. General Concepts of Probability Theory 175
Appendix 2. Riccati Equation Solution 181
Appendix 3. Probability of 1st Order Markov Process Non-Exceedance of a Specified Level at Interval 185
Appendix 4. Kalman Filter Ratio Derivation 193
References 200

 
 
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Last updated March 29, 2006