ROBUST EIGENSTRUCTURE ASSIGNMENT BY A PROJECTION METHOD - APPLICATIONS USING MULTIPLE OPTIMIZATION CRITERIA
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A methodology for robust eigenstructure assignment for multivariable feedback systems is presented. The algorithmis based upon a pole placement technique using projections onto subspaces of admissible eigenvectors. Weintroduce new ideas to generate target (desired) sets of unitary eigenvectors and determine optimal feasible eigenvectorsin a least-square sense. We also establish useful connections between the pole placement by independent modalspace control and the method introduced in this paper. A multicriterion optimization algorithm is also presented, which takes efficient advantage of the present eigenstructure assignment method. These developments show significantimprovement over an earlier version of this algorithm in both computational cost and accuracy. This optimizationprocess appears to be numerically robust and suitable for high-dimensional multicriterion optimizations; it is especiallyattractive for computer-aided design of control systems. 1989 American Institute of Aeronautics and Astronautics, Inc. All rights reserved.