Quadratic stabilization and L2 gain analysis of switched affine systems

Chi Huang, Guisheng Zhai, Wenzhi Li

研究成果: Conference contribution

3 引用 (Scopus)

抄録

We consider quadratic stabilization and L2 gain analysis for switched systems which are composed of a finite set of time-invariant affine subsystems. Both subsystem matrices and vectors are switched, and no single subsystem has desired quadratic stability or specific L2 gain property. We show that if a convex combination of subsystem matrices is Hurwitz and another convex combination of affine vectors is zero, then we can design a state-dependent switching law (state feedback) and an output-dependent switching law (output feedback) such that the entire switched system is quadratically stable. The result is also extended to L2 gain analysis under state feedback.

元の言語English
ホスト出版物のタイトルProceedings of the 29th Chinese Control and Decision Conference, CCDC 2017
出版者Institute of Electrical and Electronics Engineers Inc.
ページ2018-2023
ページ数6
ISBN(電子版)9781509046560
DOI
出版物ステータスPublished - 2017 7 12
イベント29th Chinese Control and Decision Conference, CCDC 2017 - Chongqing, China
継続期間: 2017 5 282017 5 30

Other

Other29th Chinese Control and Decision Conference, CCDC 2017
China
Chongqing
期間17/5/2817/5/30

Fingerprint

Stabilization
Subsystem

ASJC Scopus subject areas

  • Decision Sciences (miscellaneous)
  • Control and Optimization

これを引用

Huang, C., Zhai, G., & Li, W. (2017). Quadratic stabilization and L2 gain analysis of switched affine systems. : Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017 (pp. 2018-2023). [7978848] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCDC.2017.7978848

Quadratic stabilization and L2 gain analysis of switched affine systems. / Huang, Chi; Zhai, Guisheng; Li, Wenzhi.

Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017. Institute of Electrical and Electronics Engineers Inc., 2017. p. 2018-2023 7978848.

研究成果: Conference contribution

Huang, C, Zhai, G & Li, W 2017, Quadratic stabilization and L2 gain analysis of switched affine systems. : Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017., 7978848, Institute of Electrical and Electronics Engineers Inc., pp. 2018-2023, 29th Chinese Control and Decision Conference, CCDC 2017, Chongqing, China, 17/5/28. https://doi.org/10.1109/CCDC.2017.7978848
Huang C, Zhai G, Li W. Quadratic stabilization and L2 gain analysis of switched affine systems. : Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017. Institute of Electrical and Electronics Engineers Inc. 2017. p. 2018-2023. 7978848 https://doi.org/10.1109/CCDC.2017.7978848
Huang, Chi ; Zhai, Guisheng ; Li, Wenzhi. / Quadratic stabilization and L2 gain analysis of switched affine systems. Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017. Institute of Electrical and Electronics Engineers Inc., 2017. pp. 2018-2023
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