Title :
Properties of Stabilizing PID Gain Set in Parameter Space
Author_Institution :
Hiroshima Univ., Hiroshima
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2007.904285
