A Computational Approach for the "Selection" of Closed-Loop Pole Locations

The problem of pole placement or eigenvalue assignment by state or output feedback is very well studied. Provided the locations of closed-loop poles are known, it is always possible under certain conditions to determine the feedback compensator. However, the selection of closed-loop pole location is based on heuristics and the designers' experience. In this paper, it is shown that by specifying the desired impulse response of the closed-loop system, the optimal closed-loop characteristic polynomial, and therefore, the optimal locations for the closed-loop poles can be determined.