DocumentCode
1123328
Title
Properties of Stabilizing PID Gain Set in Parameter Space
Author
Saeki, Masami
Author_Institution
Hiroshima Univ., Hiroshima
Volume
52
Issue
9
fYear
2007
Firstpage
1710
Lastpage
1715
Abstract
The properties of the PID gain set for which all the closed-loop poles lie in the left half of the complex plane are examined on the parameter plane. A new method of determining the increase in the number of unstable poles when the gain crosses the boundary of stability regions is proposed. This method is useful for determining the number of unstable poles in each region. These results are extended to Gamma-stability based on conformal mapping.
Keywords
closed loop systems; poles and zeros; stability; three-term control; PID gain set stability; closed-loop pole; conformal mapping; Conformal mapping; Control design; Feedback; MIMO; Mechanical systems; Parameter estimation; Stability; Systems engineering and theory; Three-term control; Transfer functions; PID control; Parameter space; stability;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2007.904285
Filename
4303241
Link To Document