Premium
Relationship on Stabilizability of LTI Systems by P and PI Controllers
Author(s) -
Zhang Zhiping,
Wang QingGuo,
Zhang Yong
Publication year - 2007
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450850313
Subject(s) - converse , pi , control theory (sociology) , root locus , mathematics , lti system theory , equivalence (formal languages) , linear system , invariant (physics) , pure mathematics , control system , mathematical analysis , computer science , control (management) , engineering , geometry , artificial intelligence , electrical engineering , mathematical physics
This paper investigates the relationship on stabilizability of linear time‐invariant (LTI) systems by P and PI controllers. Elementary tools such as the Routh stability criterion and Root‐Locus method are employed in the analysis. It is found that PI 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 PI are established and they are in general low‐order systems with few zeros. The cases with non‐equivalence are also identified.