Eigenstructure Assignment for Semi-Proper Systems: Pseudo-State Feedback

Authors:	Clarke Tim, University of York, United Kingdom Pomfret Andrew, University of York, United Kingdom Ensor Jonathan, University of York, United Kingdom
Topic:	2.2 Linear Control Systems
Session:	Analysis and Synthesis of Linear Control Systems II
Keywords:	Eigenstructure assignment, Linear systems, Matrix algebra

Abstract

The general problem of assigning the eigenstructure of semi-proper systems, using state feedback, is first considered. Standard eigenstructure assignment algorithms invariably assume the direct transmission matrix to be null. Consequently, they are suitable only for strictly proper systems. Algorithms do exist for assigning the eigenstructure of semi-proper systems, but they suffer from a lack of visibility and attention has not been paid to certain important aspects of the problem. A new exposition of the problem is presented here and then used directly to develop a novel algorithm which overcomes these issues. An extension to state feedback for semi-proper systems, the pseudo-state feedback case, is then considered.