Abstract
Given a controllable pair of matrices ( A, B) Rosenbrock’s theorem on assignment of open-loop zeros states that a matrix C may be chosen so that the transfer function matrix G( s)= C( sI n − A) −1 B has prescribed zeros, that is, prescribed numerator polynomials in its McMillan form. In the same way, Rosenbrock’s theorem on assignment of closed-loop poles states that a matrix C may be chosen so that the McMillan form of the transfer function matrix of the closed-loop system has prescribed denominator polynomials. Following Rosenbrock’s ideas we can prove that given any pair of matrices ( A, B), matrices C and D may be chosen so that the transfer function matrix of the system, G( s)= D+ C( sI n − A) −1 B, has prescribed infinite structure.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
