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An improved V-Lambda solution of the matrix Riccati equationThe authors present an improved algorithm for computing the V-Lambda solution of the matrix Riccati equation. The improvement is in the reduction of the computational load, results from the orthogonality of the eigenvector matrix that has to be solved for. The orthogonality constraint reduces the number of independent parameters which define the matrix from n-squared to n (n - 1)/2. The authors show how to specify the parameters, how to solve for them and how to form from them the needed eigenvector matrix. In the search for suitable parameters, the analogy between the present problem and the problem of attitude determination is exploited, resulting in the choice of Rodrigues parameters.
Document ID
19890041157
Document Type
Conference Paper
Authors
Bar-Itzhack, Itzhack Y. (NASA Goddard Space Flight Center Greenbelt, MD, United States)
Markley, F. Landis (NASA Goddard Space Flight Center Greenbelt, MD, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1988
Subject Category
NUMERICAL ANALYSIS
Meeting Information
IEEE Conference on Decision and Control(Austin, TX)
Distribution Limits
Public
Copyright
Other