Integral Sliding Mode Control of Lur’e Singularly Perturbed Systems
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-02
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
This paper investigates the integral sliding mode control problem for Lur’e singularly perturbed systems with sector-constrained nonlinearities.
First, we design a proper sliding manifold such that the motion of closed-loop systems with a state feedback controller along the manifold is absolutely stable.
To achieve this, we give a matrix inequality-based absolute stability criterion; thus the above problem can be converted into a matrix inequality feasibility problem.
In addition, the gain matrix can also be derived by solving the matrix inequality.
Then, a discontinuous control law is synthesized to force the system state to reach the sliding manifold and stay there for all subsequent time.
Finally, some numerical examples are given to illustrate the effectiveness of the proposed results.
American Psychological Association (APA)
Wang, Yanyan& Liu, Wei. 2015. Integral Sliding Mode Control of Lur’e Singularly Perturbed Systems. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1075083
Modern Language Association (MLA)
Wang, Yanyan& Liu, Wei. Integral Sliding Mode Control of Lur’e Singularly Perturbed Systems. Mathematical Problems in Engineering No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1075083
American Medical Association (AMA)
Wang, Yanyan& Liu, Wei. Integral Sliding Mode Control of Lur’e Singularly Perturbed Systems. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1075083
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1075083