Aspects of optimality in the eigenvalue assignment problem.
The eigenvalue assignment problem involves fmding 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 g vector is identified, and optimal solutions are defimed in the sense of imulm 2-norm, minimum infinite-norm (minimum maximum gain), and maim 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.|