Two projection methods are proposed for partial pole placement in linear control systems. These methods are of interest in the common situation where the system is very large and only a few of its poles must be assigned. The first method is based on computing an orthonormal basis of the left invariant subspace associated with the eigenvalues to be assigned and then solving a small inverse eigenvalue problem resulting from projecting the initial problem into that subspace. The second method can be regarded as a variant of the Wielandt deflation technique used in eigenvalue methods.
Bibliographical noteFunding Information:
Manuscript received January 23, 1986; revised April 20, 1987. Paper recommended by Past Associate Editor, J. B. Pearson. This work was supported in part by the Office of Naval Research under Contract N00014-82-K-0184, by the Department of Energy under Contract DEAC02-81ER0996, and by the Army Research Office under Contract DAAG-29-83-017 7. The author is with the University of Illinois, Urbana, IL 61801-2932. IEEE Log Number 8716991.