Pole assignment by means of unrestricted-rank output feedback

1 January 1974

journal article
Published by Institution of Engineering and Technology (IET) in Proceedings of the Institution of Electrical Engineers

Vol. 121 (8) , 874-878
https://doi.org/10.1049/piee.1974.0202

Abstract

The problem of pole assignment in linear, multivariable systems using an unconstrained-rank feedback matrix is considered. The effect of output feedback of unspecified rank on the characteristic polynomial of a multivariable system is first studied. The results are then used to derive a recursive algorithm for pole assignment without any restrictions on the rank of the output feedback matrix used. The method is based on the pseudoinverse concept for obtaining least-squares solutions of sets of linear equations, and is computationally efficient.

Keywords

RECURSIVE ALGORITHM
LINEAR EQUATIONS
CHARACTERISTIC POLYNOMIAL
FEEDBACK MATRIX
PSEUDO INVERSE CONCEPT
OUTPUT FEEDBACK
POLE ASSIGNMENT
UNRESTRICTED RANK FEEDBACK
COMPUTATIONALLY EFFICIENT
MULTIVARIABLE SYSTEMS
CONTROL SYSTEMS
LEAST SQUARES SOLUTIONS
LINEAR SYSTEMS

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