I am trying to solve the following model matching problem:
Let T and M be given transfer matrices. The dimension of T and M are 4 by 4 and 4 by 1 respectively. Find a stable and proper transfer matrix Q (with dimension 4 by 1) such that the H-infinity norm of TQ-M is minimized.
Note: let (A,B,C,D) be the state space realization of T and D is not full rank; therefore T cannot be factorized as the inner and outer parts.
Anyone has a good idea about solving this problem? Thank you!