New results on the robust stability of PID controllers with gain and phase margins for UFOPTD processes

作者：Jin, Q. B.; Liu, Q.^*; Huang, B.

来源：ISA Transactions, 2016, 61: 240-250.

DOI：10.1016/j.isatra.2015.11.028

• UFOPTD processes
• PID control
• Phase margin
• Gain margin

This paper considers the problem of determining all the robust PID (proportional-integral-derivative) controllers in terms of the gain and phase margins (GPM) for open-loop unstable first order plus time delay (UFOPTD) processes. It is the first time that the feasible ranges of the GPM specifications provided by a PID controller are given for UFOPTD processes. A gain and phase margin tester is used to modify the original model, and the ranges of the margin specifications are derived such that the modified model can be stabilized by a stabilizing PID controller based on Hermite-Biehlers Theorem. Furthermore, we obtain all the controllers satisfying a given margin specification. Simulation studies show how to use the results to design a robust PID controller.

• 出版日期2016-3
• 单位北京化工大学