Robust eigensystem assignment for flexible structures
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An improved method is developed for eigenvalue and eigenvector placement of a closed-loopcontrol systemusing either state or output feedback. The method basically consists of three steps. First, the singular value orQR decomposition is used to generate an orthonormal basis that spans admissible eigenvector spacecorresponding to each assigned eigenvalue. Second, given a unitary matrix, the eigenvector set that bestapproximates the given matrix in the least-square sense and still satisfies eigenvalue constraints is determined.Third, a unitary matrix is sought to minimize theerror between the unitary matrix and the assignable eigenvectormatrix. For use as the desired eigenvector set, two matrices, namely, the open-loop eigenvector matrix and itsclosest unitary matrix, are proposed. The latter matrix generally encourages both minimum conditioning andcontrol gains. In addition, the algorithm is formulated in real arithmetic for efficient implementation. Toillustrate the basic concepts, numerical examples are included. © 1989 American Institute of Aeronautics and Astronautics, Inc. All rights reserved.
author list (cited authors)
Juang, J., Lim, K. B., & Junkins, J. L.