Relationship on stabilizability of lti systems by P and PI controllers

Zhiping Zhang; Qing Guo Wang; Yong Zhang

doi:10.1002/cjce.5450850313

Relationship on stabilizability of lti systems by P and PI controllers

Zhiping Zhang, Qing Guo Wang, Yong Zhang

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

5 Citations (Scopus)

Abstract

This paper investigates the relationship on stabilizability of linear time-invariant (LTI) systems by P and Pl controllers. Elementary tools such as the Routh stability criterion and Root-Locus method are employed in the analysis. It is found that Pl can stabilize all the systems that P stabilizes but in general the converse is not true. The cases with the equivalence of stabilizability by P and Pl are established and they are in general loworder systems with few zeros. The cases with non-equivalence are also identified.

Original language	English
Pages (from-to)	374-377
Number of pages	4
Journal	Canadian Journal of Chemical Engineering
Volume	85
Issue number	3
DOIs	https://doi.org/10.1002/cjce.5450850313
Publication status	Published - Jun 2007
Externally published	Yes

Keywords

Equivalence
PID controller
Root-locus
Routh array
Stabilization

ASJC Scopus subject areas

General Chemical Engineering

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10.1002/cjce.5450850313

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abstract = "This paper investigates the relationship on stabilizability of linear time-invariant (LTI) systems by P and Pl controllers. Elementary tools such as the Routh stability criterion and Root-Locus method are employed in the analysis. It is found that Pl can stabilize all the systems that P stabilizes but in general the converse is not true. The cases with the equivalence of stabilizability by P and Pl are established and they are in general loworder systems with few zeros. The cases with non-equivalence are also identified.",

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AB - This paper investigates the relationship on stabilizability of linear time-invariant (LTI) systems by P and Pl controllers. Elementary tools such as the Routh stability criterion and Root-Locus method are employed in the analysis. It is found that Pl can stabilize all the systems that P stabilizes but in general the converse is not true. The cases with the equivalence of stabilizability by P and Pl are established and they are in general loworder systems with few zeros. The cases with non-equivalence are also identified.

KW - Equivalence

KW - PID controller

KW - Root-locus

KW - Routh array

KW - Stabilization

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ER -

Relationship on stabilizability of lti systems by P and PI controllers

Abstract

Keywords

ASJC Scopus subject areas

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