Stability Bounds for Uncertain Matrices in a Set of Subregions

:Wu Qinghe;:Zhang Dongwen

CN Submission Journal Articles Figures Search
Adv. Search

  • Sponsored by: China Association for Science and Technology (CAST)

    Editor-In-Chief: Xu Yida

    ISSN 1000-1093

    　

  • Hosted By: China Ordnance Society

    Published By: Acta Armamentarii

    CN 11-2176/TJ

Acta Armamentarii, a Chinese monthly journal, was first published in 1979. The journal is supervised by China Association for Science and Technology, sponsored by China Ordnance Society，and edited and published by Editorial Board of Acta Armamentarii. The Journal is included in all important domestic databases，and also collected by Engineering Index (EI, USA), Chemical Abstracts (CA, USA), Science Abstracts (SA, UK）, Abstract Journal (AJ, Russia), and Current Bibliography on Science and Technology(CBST).Acta Armamentarii has been selected into the journal Of Ordnance Science and Technology (Weapons Industry) Field Of High Quality Scientific and Technological Periodical Classification Catalogue (2022 edition), ranking T1, and the journal of Automotive Engineering Field of High Quality Scientific and technological Periodical classification Catalogue, ranking T2.
Acta Armamentarii ›› 2004, Vol. 25 ›› Issue (1) : 69-72. DOI: 10.3969/j.issn.1000-1093.2004.01.018
Paper

Stability Bounds for Uncertain Matrices in a Set of Subregions

  • 1:Wu Qinghe;2:Zhang Dongwen
Author information +
History +

Abstract

Research on the robustness bounds for matrices with unstructured uncertainty was addressed. The upper bounds on the spectral norm of the unstructured uncertain matrices were determined. These bounds can ensure that the eigenvalues of uncertain matrices lie in a specified region D-LMI region of the complex plane. The LMI characterizations for intersection or union of LMI subregions were given and the stability bounds for these LMI regions sets can be computed, finally,three examples for single LMI region, intersection and union of LMI subregions were provided to illustrate the algorithm for bounds. The approach is proved to be more effective when compared with previous methods.

Key words

automatic control technique / linear matrix inequality ( LMI) / robustness in performance / D-stability / uncertain system

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations
1:Wu Qinghe;2:Zhang Dongwen. Stability Bounds for Uncertain Matrices in a Set of Subregions. Acta Armamentarii. 2004, 25(1): 69-72 https://doi.org/10.3969/j.issn.1000-1093.2004.01.018

References

[1] Chiiali M, Lrahinet P. H00 design with pole placanent contraintsran LMI approach. IEEE Trans Automat control, 1996,41(3): 358? 367
[2] Wu Q H. Computation of stability radius of a Hurwitz polynomial with diamond-like uncertainties. System and Control Iett, 1988,35： 45 ?60
[3] Bachelier O，peaucelle D, Arzelier D. A precise robust matrix root- clustering analysis with respect to polytopic uncertainty. In： Pro?ceeding of the American control conference ,2000:3331 ?333b
[4] Bachelier 〇，Pradin B. Bounds for uncertain matrix root-clustering in a union of subregions. Int J Robust and Non-linear Control, 1999， 9(6):333?359
[5] Patel R V, M Toda. Quantitative measures of robustness for multi- varible system. In：Proc of Automatic Control conf, 1980.437?442
[6] Gardiner J D. computation of stability bounds for state space models with structured uncertainty. IEEE trans Automat control，1997,42 (2):253?256
[7] Yedavalli R K. Robust root clustering for linear uncertain system us?ing generalized Lyapunov theory. Automatica, 1993，29 (I) : 237 ? 240
[8] Juang Y T. Robust stability and robust pole assignment of linear sys?tem with structured uncertainty. IEEE Trans Automat control, 1991,36(5):635?637

Accesses

Citation

Detail
Sections
Recommended

/

〈 〉