Robust H∞ Control for Switched Nonlinear System with Multiple Delays
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-26
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper focuses on the problem of robust H∞ control for a class of switched nonlinear systems with multiple time delays which are allowed to appear not only in state but also in input.
We will design a controller and a switching law under which the system is “robust stable” and has performance L2-gain γ.
Besides, multiple Lyapunov-Razumikhin functions which are relatively less conservative are introduced to investigate the stability of the candidate switched system.
In detail, firstly, for uncertain nonlinear switched system with time-varying delays, sufficient condition is given by inequalities which are equivalent to LMIs, so it is easy to be solved; then, as a special case, nonlinear switched system with constant time delay is also considered.
Finally, by providing numerical examples, the feasibility of the proposed approach is demonstrated.
American Psychological Association (APA)
Liu, Juan& Huang, Qingdao. 2015. Robust H∞ Control for Switched Nonlinear System with Multiple Delays. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1074898
Modern Language Association (MLA)
Liu, Juan& Huang, Qingdao. Robust H∞ Control for Switched Nonlinear System with Multiple Delays. Mathematical Problems in Engineering No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1074898
American Medical Association (AMA)
Liu, Juan& Huang, Qingdao. Robust H∞ Control for Switched Nonlinear System with Multiple Delays. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1074898
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074898