Stability and Control of Uncertain Systems
Peer reviewed
Abstract
Abstract
Abstract This paper proposes a method to design static output feedback controllers for linear discrete‐time systems. The proposed approach provides formulations to solve stabilization, H 2 and H ∞ control problems with reduced conservatism by the extended linear matrix inequality (LMI) conditions. By introducing auxiliary decision variables into the extended LMIs, necessary and sufficient conditions for each control problem with static output feedback are derived. When these auxiliary decision variables are fixed as constant matrices, the conditions can be treated as LMIs. We also propose iterative algorithms to obtain one of the auxiliary decision variables for the stabilization problem, as well as iterative algorithms to optimize auxiliary decision variables for the H 2 and H ∞ control problems. Numerical design examples illustrate that the proposed method increases the probability of finding a static output feedback gain compared to the original extended LMI condition. Furthermore, it is also shown that H 2 and H ∞ control performances can be optimized through iterative LMI calculations, achieving better control performances compared to the original extended LMI conditions.
Direct answer
What can I do from this paper page?
Use this page to scan "Reducing conservatism of extended linear matrix inequality condition for discrete‐time static output feedback controller design" quickly: start with the summary and abstract, then check the authors, source, topics, and related papers. From here, open Scollr to follow Stability and Control of Uncertain Systems research, save the paper, or map adjacent work.
Research areas
Follow related topics
Citation
BibTeX
@article{Totoki2026Reducing,
title = {Reducing conservatism of extended linear matrix inequality condition for discrete‐time static output feedback controller design},
author = {Hironori Totoki and Yoshimasa Ochi},
journal = {Asian Journal of Control},
year = {2026},
doi = {10.1002/asjc.70147},
url = {https://doi.org/10.1002/asjc.70147}
}FAQ
Using this paper in a discovery workflow
How do I find related work for this paper?
Use the related papers and topic links on this page as starting points. In Scollr, you can also open the paper and build a literature map around its references, citing papers, and related work.
How can I keep up with new Stability and Control of Uncertain Systems research papers?
Follow Stability and Control of Uncertain Systems research in Scollr. New papers from the topic flow into a personalized feed, and you can save useful studies to revisit later.
Can I cite this paper from this page?
This page includes a static BibTeX block for Reducing conservatism of extended linear matrix inequality condition for discrete‐time static output feedback controller design. Always verify the DOI, source, and publication details against the publisher record before submitting a manuscript.
Follow this research in Scollr
Follow the topics and authors behind this paper, save useful studies, and build a literature map when you are ready to go deeper.
Get the app