Parametric state feedback control with exact lens model matching

One approach to model matching is based on choosing a desired system transfer function matrix (DSTFM) for exhibiting satisfactory transient response and finding a constant state feedback control law, together with a constant precompensator, such that the closed-loop transfer function matrix (CLTFM) is `close´ to the DSTFM. If the CLTFM can be made exactly equal to the DSTFM, the DSTFM is defined to be admissible with respect to the open-loop state model. In this paper necessary and sufficient conditions are given for the admissibility of a given DSTFM with respect to a restricted class of open-loop state models