Saeki, Masami (Hiroshima Univ.)

Properties of Stabilizing PID Gain Set in Parameter Space

Scheduled for presentation during the Regular Session "Linear Systems II" (ThP13), Thursday, July 27, 2006, 15:20−15:45, Room 101

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 19, 2024

Abstract

A set of PID gains for which all the closed-loop poles lie in the left half complex plane is examined, and the properties of the set on the parameter planes are given. Boundaries which are useful to draw the stabilizing set on the parameter plane are described using the plant frequency response. A new method of determining the number of increase of unstable poles when the gain crosses the boundaries 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.