Decoupling of Square Singular Systems Via Proportional State Feedback

Amit Ailon

doi:10.1109/9.62273

Decoupling of Square Singular Systems Via Proportional State Feedback

Amit Ailon

Department of Electrical & Computer Engineering

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

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 language	English
Pages (from-to)	95-102
Number of pages	8
Journal	IEEE Transactions on Automatic Control
Volume	36
Issue number	1
DOIs	https://doi.org/10.1109/9.62273
State	Published - 1 Jan 1991

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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AB - 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.

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Decoupling of Square Singular Systems Via Proportional State Feedback

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