Robust pole assignment via the Schur-Newton algorithms

Tiexiang Li, Eric King-wah Chu, Xuan Zhao

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

Abstract

In [6], the pole assignment problem was considered for the control system ẋ = Ax + Bu with linear state-feedback u = Fx. An algorithm using the Schur form has been proposed, producing suboptimal solutions which can be refined further using optimization. In this paper, the algorithm is improved, with a weighted sum of the feedback gain and the departure from normality being used as the robustness measure. Newton refinement procedure is implemented, producing optimal solutions. Several illustrative numerical examples are presented.

Original languageEnglish
Title of host publication2011 International Conference on Multimedia Technology (ICMT 2011)
Subtitle of host publicationProceedings
EditorsYi Pan, Shengjun Xue
Place of PublicationPiscataway NJ USA
PublisherIEEE, Institute of Electrical and Electronics Engineers
Pages2332-2335
Number of pages4
ISBN (Print)9781612847740
DOIs
Publication statusPublished - 2011
EventInternational Conference on Multimedia Technology (IMCT 2011) - Zhejiang Braim International Hotel, Hangzhou, China
Duration: 26 Jul 201128 Jul 2011
Conference number: 2nd
https://www.ieee.org/conferences_events/conferences/conferencedetails/index.html?Conf_ID=18827
https://web.archive.org/web/20110605023802/http://www.icmtconf.org/

Conference

ConferenceInternational Conference on Multimedia Technology (IMCT 2011)
Abbreviated titleICMT 2011
CountryChina
CityHangzhou
Period26/07/1128/07/11
Internet address

Keywords

  • Pole assignment
  • Schur form
  • The departure from normality

Cite this

Li, T., Chu, E. K., & Zhao, X. (2011). Robust pole assignment via the Schur-Newton algorithms. In Y. Pan, & S. Xue (Eds.), 2011 International Conference on Multimedia Technology (ICMT 2011): Proceedings (pp. 2332-2335). IEEE, Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/ICMT.2011.6002622