Optimality in the eigenvalue assignment problem.

The eigenvalue assignment problem involves finding a state feedback vector k such that the eigenvalues of A-bkT are in the desired locations. This paper considers the case where the system is not completely controllable, and the solution for the feedback gain vector k is not unique. The set of possible solutions for the feedback gain vector is identified, and optimal solutions are defined in the sense of minimum Z-norm, minimum infinite-norm (minimum maximum gain), and maximum number of zero gain elements in k. In addition, the methods presented here can also be applied to the case where linear statevariable feedback is applied to more than one input.

Main Author: Perry, R.
Other Authors: Berger, W.
Language: English
Published: 1989
Online Access: http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:178459