Partial model matching via static feedback (The multivariable case)

The problem of partial model matching is studied for the case of multi-inpu t/multi-output linear time-invariant systems. Using a regular static state feedback law, the necessary and sufficient conditions for the problem to ha ve a solution are established. The general analytic expressions of the cont roller matrices are derived. For the case of single-input/single-output sys tems sufficient conditions are derived for the solution of the partial mode l matching problem with simultaneous stabilizability For the same type of s ystems the necessary and sufficient conditions for the solution of the part ial model matching problem with simultaneous regulation of the free respons e of the closed-loop system are established. Finally, the problem of partia l model matching,,ia regular static measurement output feedback, is solved for the case of multi-input/multi-output systems.