Robust Finite-Time Control for Linear Time-Varying Descriptor Systems with Jumps

Xiaoming Su and Adiya Bao

Mathematical Problems in Engineering, 2015, vol. 2015, 1-9

Abstract:

The finite-time 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 for the system. Based on the condition, state feedback controller is designed such that the closed-loop system is finite-time boundedness and satisfies 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.

Date: 2015
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/MPE/2015/950685.pdf (application/pdf)
http://downloads.hindawi.com/journals/MPE/2015/950685.xml (text/xml)

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:hin:jnlmpe:950685

DOI: 10.1155/2015/950685

Access Statistics for this article

More articles in Mathematical Problems in Engineering from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().