Robust Finite-Time H∞ Control for Linear Time-Varying Descriptor Systems with Jumps
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-23
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The finite-time H∞ control problem is addressed for uncertain time-varying descriptor system with finite jumps and time-varying norm-bounded disturbance.
Firstly, a sufficient condition of finite-time boundedness for the abovementioned class of system is obtained.
Then the result is extended to finite-time H∞ for the system.
Based on the condition, state feedback controller is designed such that the closed-loop system is finite-time boundedness and satisfies L2 gain.
The conditions are given in terms of differential linear matrix inequalities (DLMIs) and linear matrix inequalities (LMIs), and such conditions require the solution of a feasibility problem involving DLMIs and LMIs, which can be solved by using existing linear algorithms.
Finally, a numerical example is given to illustrate the effectiveness of the method.
American Psychological Association (APA)
Su, Xiaoming& Bao, Adiya. 2015. Robust Finite-Time H∞ Control for Linear Time-Varying Descriptor Systems with Jumps. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1075161
Modern Language Association (MLA)
Su, Xiaoming& Bao, Adiya. Robust Finite-Time H∞ Control for Linear Time-Varying Descriptor Systems with Jumps. Mathematical Problems in Engineering No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1075161
American Medical Association (AMA)
Su, Xiaoming& Bao, Adiya. Robust Finite-Time H∞ Control for Linear Time-Varying Descriptor Systems with Jumps. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1075161
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1075161