A canonical representation for multivariable linear control systems is derived from the concepts of controllability. An analogous resuIt is obtained for the optimal estimation problem, using the concept of observability. A constructive method of obtaining the appropriate canonical form from any linear time-invariant state-variable system description is presented. For the single input case, the method yields the well-known companion normal form of the system matrix.
By: W. G. Tuel, Jr.
Published in: RJ375 in 1966
LIMITED DISTRIBUTION NOTICE:
This Research Report is available. This report has been submitted for publication outside of IBM and will probably be copyrighted if accepted for publication. It has been issued as a Research Report for early dissemination of its contents. In view of the transfer of copyright to the outside publisher, its distribution outside of IBM prior to publication should be limited to peer communications and specific requests. After outside publication, requests should be filled only by reprints or legally obtained copies of the article (e.g., payment of royalties). I have read and understand this notice and am a member of the scientific community outside or inside of IBM seeking a single copy only.
Questions about this service can be mailed to reports@us.ibm.com .