The DOI matches its Crossref record.
New results on the synthesis of PID controllers
Abstract
This paper considers the problem of stabilizing a first-order plant with dead time using a proportional-integral-derivative (PID) controller. Using a version of the Hermite-Biehler theorem that is applicable to quasi-polynomials, the complete set of stabilizing PID parameters is determined for both open-loop stable and unstable plants. The range of admissible proportional gains is first determined in closed form. For each proportional gain in this range, the stabilizing set in the space of the integral and derivative gains is shown to be either a trapezoid, a triangle or a quadrilateral. For the case of an open-loop unstable plant, a necessary and sufficient condition on the time delay is determined for the existence of stabilizing PID controllers.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cited by
Handbook of Pi and Pid Controller Tuning Rules
O’Dwyer, A. (2006) · IMPERIAL COLLEGE PRESS eBooks · doi:10.1142/9781860949104 · Cited by 1,015
On convergence of tracking differentiator
Guo, B.-Z., & Zhao, Z.-L. (2011) · International Journal of Control · doi:10.1080/00207179.2011.569954 · Cited by 289
Wang, X., Karimi, H. R., Shen, M., Liu, D., Li, L.-W., & Shi, J. (2022) · Neural Networks · doi:10.1016/j.neunet.2022.09.021 · Cited by 31
Metadata
- Authors
- Silva, G. J., Datta, A., & Bhattacharyya, S. P.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2002
- Volume
- 47
- Issue
- 2
- Pages
- 241-252
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2149232645
- Cited by
- 459
- References
- 0
- FWCI
- 32.70
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: New results on the synthesis of PID controllers. https://app.cochat.ai/papers/10.1109/9.983352
- The paper
- Silva, G. J., Datta, A., & Bhattacharyya, S. P. (2002). New results on the synthesis of PID controllers. IEEE Transactions on Automatic Control. https://doi.org/10.1109/9.983352
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
