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Using Post-Eigenstructure Assignment Design Freedom for the Imposition of Controller Structure

Authors:Clarke Tim, University of York, United Kingdom
Pomfret Andrew, University of York, United Kingdom
Topic:2.2 Linear Control Systems
Session:Linear Systems I
Keywords: Eigenstructure assignment, Linear systems, Structural constraints, Matrix algebra

Abstract

Recent algorithm developments in the field of output-feedback eigenstructure assignment make use of the available design freedom in a multi-stage assignment process. Depending on the number of degrees of freedom available and the manner in which they are distributed between the stages, it is possible that not all will be used. This paper develops an algorithm by which these excess degrees of freedom may be put to use by nulling individual elements of the gain matrix, thereby imposing structure upon the resulting controller. Consideration is given to the effect of this process on the remaining gain matrix elements.