Direction assignment of left eigenvector in linear MIMO system

Sung Hyun Kim, Hyun Seok Yang

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper, we propose novel eigenstructure assignment method in full-state feedback for linear time-invariant MIMO system such that directions of some left eigenvectors are exactly assigned to the desired directions. It is required to consider the direction of left eigenvector in designing eigenstructure of closed-loop system, because the direction of left eigenvector has influence over excitation by associated input variables in time-domain response. Exact direction of a left eigenvector can be achieved by assigning proper right eigenvector set satisfying the conditions of the presented theorem based on Moore's theorem and the orthogonality of left and right eigenvector. The right eigenvector should reside in the subspace given by the desired eigenvalue, which restrict a number of designable left eigenvector. For the two cases in which desired eigenvalues are all real and contain complex number, design freedom of designable left eigenvector are given.

Original languageEnglish
Pages (from-to)226-231
Number of pages6
JournalJournal of Institute of Control, Robotics and Systems
Volume14
Issue number3
DOIs
Publication statusPublished - 2008 Mar 1

Fingerprint

MIMO Systems
MIMO systems
Eigenvalues and eigenfunctions
Eigenvector
Assignment
Linear Systems
Eigenstructure Assignment
Eigenvalue
Complex number
State feedback
Orthogonality
Theorem
State Feedback
Closed loop systems
Closed-loop System
Linear Time
Time Domain
Excitation
Subspace
Invariant

All Science Journal Classification (ASJC) codes

  • Software
  • Control and Systems Engineering
  • Applied Mathematics

Cite this

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Direction assignment of left eigenvector in linear MIMO system. / Kim, Sung Hyun; Yang, Hyun Seok.

In: Journal of Institute of Control, Robotics and Systems, Vol. 14, No. 3, 01.03.2008, p. 226-231.

Research output: Contribution to journalArticle

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