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 | |
| Publication status | Published - Jun 2007 |
| Externally published | Yes |
Keywords
- Equivalence
- PID controller
- Root-locus
- Routh array
- Stabilization
ASJC Scopus subject areas
- General Chemical Engineering