Journal
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
Volume 12, Issue 6, Pages 1197-1206Publisher
INST CONTROL ROBOTICS & SYSTEMS, KOREAN INST ELECTRICAL ENGINEERS
DOI: 10.1007/s12555-013-0341-0
Keywords
Proportional-integral (PI) controller; second-order process; stabilization; time delay
Categories
Funding
- National Natural Science Foundation of China (NSFC) [61374137, 61403311]
- State Key Laboratory of Synthetical Automation for Process Industries [PAL-N201409]
Ask authors/readers for more resources
This paper considers the problem of determining the complete stabilizing set of proportional-integral (PI) controllers for a second-order process with time delay by employing a version of the Hermite-Biehler theorem applicable to quasipolynomials. With the poles of open-loop system being complex, we first provide the result to find the admissible range of the proportional gain. Then by choosing a fixed proportional gain in this range, we can ascertain the complete region of integral gain which can stabilize the second-order delay process. Similarly, the result for the case of open-loop real poles is also obtained. It is mentioned that the condition to obtain the parameter set for stabilizing the given plant is sufficient and necessary.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available