Delay-Dependent Finite-Time Controller Design for a Kind of Nonlinear Descriptor Systems via a T-S Fuzzy Model

Baoyan Zhu, Jingjun Zhang, Daqing Zhang and Aibin Liu

Mathematical Problems in Engineering, 2015, vol. 2015, 1-14

Abstract:

Delay-dependent finite-time controller design problems are investigated for a kind of nonlinear descriptor system via a T-S fuzzy model in this paper. The solvable conditions of finite-time controller are given to guarantee that the loop-closed system is impulse-free and finite-time bounded and holds the performance to a prescribed disturbance attenuation level . The method given is the ability to eliminate the impulsive behavior caused by descriptor systems in a finite-time interval, which confirms the existence and uniqueness of solutions in the interval. By constructing a nonsingular matrix, we overcome the difficulty that results in an infeasible linear matrix inequality (LMI). Using the FEASP solver and GEVP solver of the LMI toolbox, we perform simulations to validate the proposed methods for a nonlinear descriptor system via the T-S fuzzy model, which shows the application of the T-S fuzzy method in studying the finite-time control problem of a nonlinear system. Meanwhile the method was also applied to the biological economy system to eliminate impulsive behavior at the bifurcation value, stabilize the loop-closed system in a finite-time interval, and achieve a performance level.

Date: 2015
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/MPE/2015/546835.pdf (application/pdf)
http://downloads.hindawi.com/journals/MPE/2015/546835.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:546835

DOI: 10.1155/2015/546835

Access Statistics for this article

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