Abstract
The poles of a linear time invariant system can be shifted to the arbitrary positions by state variable feedback if and only if the system is controllable. But in any multi-input system, the feedback gain matrix to realize the desired pole assignment contains redundant elements, because it cannot be uniquely determined.
The redundancy, therefore, can be used for designing multi-input feedback control systems. For example, the zero positions and the steady state characteristics can be improved and/or the low feedback gain matrix can be obtained by determining the redundant elements suitably.
In this paper, we investigate the redundancy of the feedback gain matrix which gives the desired pole assignment to the closed loop system and also present the procedure to obtain the low feedback gain matrix.
