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An Error Overbounding Method Based on a Gaussian Mixture Model with Uncertainty Estimation for a Dual-Frequency Ground-Based Augmentation System

Zhen Gao, Kun Fang, Zhipeng Wang, Kai Guo, Yuan Liu
2022 Remote Sensing  
This conservatism may cause false alarms and diminish availability.  ...  However, the Ifree algorithm outputs the errors of two frequencies. The protection level obtained via the traditional Gaussian overbound is overconservative.  ...  Acknowledgments: The authors would like to thank the researchers at the National Key Laboratory of CNS/ATM for their advice and interests.  ... 
doi:10.3390/rs14051111 fatcat:vp4yyyc44fa2hlvezzs2sgci3e

Launch Vehicle Autopilot Robustness to Multilinear Uncertainties: Analysis in Kharitonov Framework

V. R. Lalithambika, S. Dasgupta
2007 Journal of Guidance Control and Dynamics  
Because the image set of the extremal systems overbounds the image set of the entire family, some conservatism is expected in the results.  ...  The conservatism of the results is assessed by comparison with results obtained by gridding the uncertain set.  ... 
doi:10.2514/1.27766 fatcat:g4uofwsqxffmjbb6ydmovrni3u

An advanced residual error model for tropospheric delay estimation

Szabolcs Rózsa, Bence Ambrus, Ildikó Juni, Pieter Bastiaan Ober, Máté Mile
2020 GPS Solutions  
Integrity is assessed by the definition of a protection level, which is an estimation of the maximum positioning error at extremely low probability levels.  ...  We introduce a new approach to derive residual tropospheric delay error models using the extreme value analysis technique.  ...  The authors kindly acknowledge the financial support of the European Space Agency under Contract No. 40000114534/15/NL/Nde. Support of Grant BME FIKP-VÍZ by EMMI is kindly acknowledged as well.  ... 
doi:10.1007/s10291-020-01017-7 fatcat:ftcmvakq7bcs3ln4buio6nyi3u

Assessment of Ionosphere Spatial Decorrelation for Global Positioning System-Based Aircraft Landing Systems

Jiyun Lee, Sam Pullen, Seebany Datta-Barua, Per Enge
2007 Journal of Aircraft  
However, a precise assessment of the bounding value of o,,, cannot be made from postprocessed WAAS and CORS data because of the relatively large baselines between WAAS and CORS reference stations (compared  ...  A threshold of 20-sigma of residuals (which corresponds to about 50 TECU) was applied to eliminate extreme outliers.  ... 
doi:10.2514/1.28199 fatcat:cr2cjemau5fwxpqk6hhaxeobam

Approximate Minimum Energy Control Laws for Low-Thrust Formation Reconfiguration

Hui Yan, Kyle T. Alfriend
2007 Journal of Guidance Control and Dynamics  
Because the image set of the extremal systems overbounds the image set of the entire family, some conservatism is expected in the results.  ...  The conservatism of the results is assessed by comparison with results obtained by gridding the uncertain set.  ... 
doi:10.2514/1.28494 fatcat:pwov6vxpnzgwtlojnl4fco6la4

Robust Stability and Performance Analysis for State-Space Systems via Quadratic Lyapunov Bounds

Dennis S. Bernstein, Wassim M. Haddad
1990 SIAM Journal on Matrix Analysis and Applications  
If, in addition, there also exist associated performance measures (such as the steady-state variances of selected state variables), it is desirable to assess the worst-case performance over a class of  ...  that standard linear-quadratic methods used to design either full-state feedback controllers or dynamic compensators may result in closed-loop systems that are arbitrarily sensitive to structured real-valued  ...  The assumption x(0) 0 in (2.2) is stronger than necessary for the treatment of (2.4). If x(0) 4 0, then Lemma 2.1 remains unchanged since the  ... 
doi:10.1137/0611017 fatcat:kbnymlviuvbajiwjdmjhfyfxne

Optimal Popov controller analysis and synthesis for systems with real parameter uncertainties

J.P. How, E.G. Collins, W.M. Haddad
1996 IEEE Transactions on Control Systems Technology  
Robust performance analysis plays an important role in the design of controllers for uncertain multivariable systems.  ...  The technique is used to compare relative robustness capabilities of the various control algorithms that have been designed for the Middeck active control experiment (MACE).  ...  When one of these values of 7 is found, the first step of the algorithm determines values that optimize the cost overbound at the initial values of Ml0 and Mz,.  ... 
doi:10.1109/87.486347 fatcat:wsrr3idwcjb6hif5mssjwoh7se

Paired overbounding and application to GPS augmentation

J. Rife, S. Pullen, B. Pervan, P. Enge
PLANS 2004. Position Location and Navigation Symposium (IEEE Cat. No.04CH37556)  
Two applications of the paired overbound theorem to GPS augmentation are also discussed.  ...  This paired overbound theorem requires that a cumulative distribution function (CDF) be constructed to bound both sides of the range-domain error distribution.  ...  The opinions discussed here are those of the authors and do not necessarily represent those of the FAA or other affiliated agencies.  ... 
doi:10.1109/plans.2004.1309027 fatcat:ljrrqaar7vh5hnyabk2vn5pvly

Application of structured singular value synthesis to a fighter aircraft

ANDREW SPARKS, SIVA S. BANDA
1993 Journal of Guidance Control and Dynamics  
Structured Singular Value Synthesis One of the most important advances in the past decade in the field of multivariable control is the development of H, control theory.  ...  This accounting reduces the conservatism of the design. The issues of meeting specific per- formance and robustness requirements are addressed.  ... 
doi:10.2514/3.21105 fatcat:m3acnj2yz5flbnqbgjndrxzmqy

Identification of model parameters and associated uncertainties for robust control design

Valeri I. Karlov, David W. Miller, Wallace E. Vander Velde, Edward F. Crawley
1994 Journal of Guidance Control and Dynamics  
shorter length of time-domain data—which is extremely important for tests in constrained operational environments such as space.  ...  Recognizing the need for identification accuracy assessment, the objective of this paper is to derive identification techniques that take advantage of the physics of structural dynamics and can provide  ... 
doi:10.2514/3.21226 fatcat:ihua7jugj5hb3oli7hjv2b742a

Active control technology for large space structures

D. C. HYLAND, J. L. JUNKINS, R. W. LONGMAN
1993 Journal of Guidance Control and Dynamics  
It was pre- cisely in order to remedy such conservatism in the face of structured perturbations, that the structured singular value (SSV) was introduced.  ...  However, the system is obvi- ously stable for all positive values of the stiffness. Thus, this robustness condition can be extremely conservative for lightly damped structures.  ... 
doi:10.2514/3.21087 fatcat:qsdosuvdffep7b2so2lz3p25zq

Performance of Receiver Autonomous Integrity Monitoring (RAIM) for Maritime Operations

Michael Mink
2016
Kurzfassung iv Sogenannte "Overbounding"-Konzepte werden vorgestellt: ein "Overbound" ist eine konservative Repräsentation einer zugrunde liegenden Fehlerverteilung, die -unter anderem aufgrund eines reduzierten  ...  The other extreme certainly constitute augmentation systems such as Satellite Based Augmentation Systems (SBAS) that allocate the full integrity burden on system side.  ...  an aeroplane shall be possible in an extreme case.  ... 
doi:10.5445/ir/1000063350 fatcat:au2hfg4kincf5h27pl4wdzyyiu

Robust stability and performance analysis for state space systems via quadratic Lyapunov bounds

D.S. Bernstein, W.M. Haddad
Proceedings of the 27th IEEE Conference on Decision and Control  
If, in addition, there also exist associated performance measures (such as the steady-state variances of selected state variables), it is desirable to assess the worst-case performance over a class of  ...  that standard linear-quadratic methods used to design either full-state feedback controllers or dynamic compensators may result in closed-loop systems that are arbitrarily sensitive to structured real-valued  ...  The assumption x(0) 0 in (2.2) is stronger than necessary for the treatment of (2.4). If x(0) 4 0, then Lemma 2.1 remains unchanged since the  ... 
doi:10.1109/cdc.1988.194719 fatcat:5sbyrrhezbgf3ltpbbzlhlqy54

Robust Linear Static Anti-Windup With Probabilistic Certificates

Simone Formentin, Fabrizio Dabbene, Roberto Tempo, Luca Zaccarian, Sergio M. Savaresi
2017 IEEE Transactions on Automatic Control  
region or maximization of the domain of attraction.  ...  (SwC), of the so-called scenario approach for uncertain optimization problems.  ...  ACKNOWLEDGMENTS This work was supported in part by the ANR project LimICoS contract number 12 BS03 005 01, by CNR funds of the joint international lab COOPS, by iCODE institute, research project of the  ... 
doi:10.1109/tac.2016.2586606 fatcat:nmpsfw2ik5apxe2zqpksbm32fy

From experiment design to closed-loop control

Håkan Hjalmarsson
2005 Automatica  
The main trends in this research area are summarized, with particular focus on the design of low complexity controllers from a statistical perspective.  ...  Special thanks goes to Brett and Bo for proof-reading early versions of this manuscript, to Johan for valuable comments and to Henrik for providing Example 11.1.  ...  Thanks also to the five referees for their many insightful comments which were instrumental in improving the quality of the paper. This research has been supported by The Swedish Research Council.  ... 
doi:10.1016/j.automatica.2004.11.021 fatcat:hvc3iqul4ngmlabzo5ngoxtxya
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