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Partial eigenstructure assignment and its application to large scale systems

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3 Author(s)
J. Lu ; Sch. of Electr. Eng., Cornell Univ., Ithaca, NY, USA ; H. -D. Chiang ; J. S. Thorp

The notion of partial eigenstructure assignment (PEA) via linear state feedback control in linear multivariable systems is introduced. This notion is a natural extension of eigenstructure assignment and partial eigenvalue assignment. Some theoretical basis for PEA is provided, and a parametric expression for feedback gain matrices achieving PEA is derived. An effective numerical algorithm for PEA tailored to large-scale systems is presented. As an extension of the algorithm, a recursive algorithm for eigenstructure assignment is presented. These algorithms possess the following desired properties: (1) compared to existing methods, the presented algorithms significantly reduce the required computation time via transforming high-dimensional matrix computations into low-dimensional matrix computations; (2) they can be implemented in a parallel fashion. The proposed algorithm for PEA is applied to modal control of large flexible space structure systems

Published in:

IEEE Transactions on Automatic Control  (Volume:36 ,  Issue: 3 )