Fault detection algorithm based on a discrete-time observer residual generator - a GPS application

作者: Adrian-Mihail Stoica , Aurelian Constantinescu

DOI: 10.23919/ECC.2007.7068495

关键词: Linear matrix inequalityControl theoryMatrix (mathematics)Observer (quantum physics)Global Positioning SystemFault detection and isolationFilter (signal processing)Discrete time and continuous timeAssisted GPSMathematics

摘要: The aim of this paper is to present a design methodology for an observer-based fault detection filter. This approach allows compute filter gain such that both and disturbance attenuation requirements are accomplished. developments based on H 2 ∞ optimization type methods in the discrete-time framework. existence conditions expressed terms feasibility some matrix inequalities. An important advantage described possibility extend results other classes systems (as sampled-data systems, stochastic with Markovian jumps corrupted multiplicative white noise, etc.) which appropriate Linear Matrix Inequality (LMI) available. In order illustrate derived theoretical results, case study concerning problem Global Positioning System (GPS) integrity monitoring considered.

参考文章(35)
A. Edelmayer, J. Bokor, L. Keviczky, An H/sub /spl infin// filtering approach to robust detection of failures in dynamical systems conference on decision and control. ,vol. 3, pp. 3037- 3039 ,(1994) , 10.1109/CDC.1994.411321
Harold Lee Jones, Failure detection in linear systems ,(1973)
Ron J. Patton, Paul M. Frank, Robert N. Clarke, Fault diagnosis in dynamic systems: theory and application Prentice-Hall, Inc.. ,(1989)
R.J. Patton, M. Hou, H ∞ estimation and robust fault detection european control conference. pp. 2520- 2524 ,(1997) , 10.23919/ECC.1997.7082485
Richard Vernon Beard, Failure accomodation in linear systems through self-reorganization. Massachusetts Institute of Technology. ,(1971)
Mark Sturza, Alison Brown, The Effect of Geometry on Integrity Monitoring Performance Proceedings of the 46th Annual Meeting of The Institute of Navigation (1990). ,vol. 46, pp. 121- 129 ,(1990)
Young C. Lee, Analysis of Range and Position Comparison Methods as a Means to Provide GPS Integrity in the User Receiver Proceedings of the 42nd Annual Meeting of The Institute of Navigation (1986). pp. 1- 4 ,(1986)
Mehran Mesbahi, On the rank minimization problem and its control applications Systems & Control Letters. ,vol. 33, pp. 31- 36 ,(1998) , 10.1016/S0167-6911(97)00111-4