This paper is devoted to the problem of synthesizing proportional-integral-derivative (PID) controllers for a given single-input single-output plant so that the closed-loop system is robustly stabilized and the desired performance specifications are satisfied despite plant uncertainty. First, the problem of robust performance design is converted into simultaneous stabilization of a complex polynomial family. An extension of the results on PID stabilization is then used to devise a linear programming design procedure for determining all admissible PID gain settings. In particular, it is shown that for a fixed proportional gain, the set of admissible integral and derivative gains is a union of convex sets.
|Number of pages||6|
|Journal||Proceedings of the IEEE Conference on Decision and Control|
|Publication status||Published - 2002|
All Science Journal Classification (ASJC) codes
- Chemical Health and Safety
- Control and Systems Engineering
- Safety, Risk, Reliability and Quality