Decoupling of Square Singular Systems Via Proportional State Feedback

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25 Scopus citations


This study presents necessary and sufficient conditions for the decoupling of a solvable square singular system Ex(t) = Ax(t) + Bu(t) with output y(t) = Dx(t), via an admissible control law of the form u(t) = Kx(t) + Hr(t) where H∞ is a square nonsingular matrix. It has been shown that for a given singular system that satisfies these conditions, there exists a proportional state feedback for which the system's transfer function is a diagonal, nonsingular, and proper rational matrix. The proofs of the main results are constructive.

Original languageEnglish
Pages (from-to)95-102
Number of pages8
JournalIEEE Transactions on Automatic Control
Issue number1
StatePublished - 1 Jan 1991

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


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