Exponential stability and H∞ control of uncertain singular nonlinear switched systems with impulsive perturbations

Tao Zhan, Shuping Ma, Xinzhi Liu and Hao Chen

International Journal of Systems Science, 2019, vol. 50, issue 13, 2424-2436

Abstract: This paper investigates the problems of exponential stability and robust $H_\infty $H∞ control for a general class of uncertain singular nonlinear switched systems subject to impulsive perturbations. An effective computational method is introduced for designing switched linear feedback controllers, which is based on the novel conditions on the solvability of the $H_\infty $H∞ control problem. The idea for decomposing the singular impulsive increments is applied in this development, which establishes some criteria on exponential stability. Comparing with some existing results on singular switched systems, this design is not only less conservative but also with reduced computational complexity. In addition, the effectiveness of the proposed approach is illustrated by numerical examples.

Date: 2019
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/00207721.2019.1615572 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:taf:tsysxx:v:50:y:2019:i:13:p:2424-2436

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/TSYS20

DOI: 10.1080/00207721.2019.1615572

Access Statistics for this article

International Journal of Systems Science is currently edited by Visakan Kadirkamanathan

More articles in International Journal of Systems Science from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().