Iterative quadratic maximum likelihood approach to frequency response shaping

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 frequency 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. The problem of frequency response shaping in SISO systems by means of full state feedback is considered.