Integer least squares with quadratic equality constraints and its application to GNSS attitude determination systems

Regular Papers Control Applications

DOI: 10.1007/s12555-009-0408-0

Cite this article as:
Park, C. & Teunissen, P.J.G. Int. J. Control Autom. Syst. (2009) 7: 566. doi:10.1007/s12555-009-0408-0


In this paper we introduce the quadratically constrained integer least-squares problem and show how the LAMBDA method can be used to solve it for the purpose of GNSS attitude determination. The integer least-squares principle with quadratic equality constraints (ILSQE) is used to formulate our cost function. The solution of the ILSQE problem is derived and it is shown how the solution can be computed efficiently and rigorously with a novel LAMBDA based method. Experimental results with various single frequency GPS receivers are given to show the effectiveness of the proposed method. The method is also compared with some current methods of GNSS attitude determination. Apart from its efficiency, the proposed method is shown to dramatically improve the success rates of integer ambiguity GNSS attitude resolution.


Attitude determination GNSS ILSQE integer ambiguity BC-LAMBDA 

Copyright information

© The Institute of Control, Robotics and Systems Engineers and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg GmbH 2009

Authors and Affiliations

  1. 1.School of Electrical and Computer Eng.Chungbuk National UniversityChungbukKorea
  2. 2.Delft Institute for Earth Observation and Space Systems (DEOS)Technical University of DelftDelftthe Netherlands

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