Finite-time analysis and H ∞ control for switched stochastic systems

Zhengrong Xiang; Changhui Qiao; Magdi S. Mahmoud

doi:10.1016/j.jfranklin.2011.10.021

Finite-time analysis and H _∞ control for switched stochastic systems

Zhengrong Xiang^*
, Changhui Qiao
, Magdi S. Mahmoud

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

93 Scopus citations

Abstract

This paper is concerned with the finite-time stability, boundedness and H _∞ control problems for a class of switched stochastic systems. Using the average dwell time method and the multiple Lyapunov-like function technique, some sufficient conditions are proposed to guarantee the finite-time properties for the switched stochastic systems in the form of matrix inequalities. Also, a state feedback controller for the finite-time H _∞ control problem is obtained. An example is employed to verify the effectiveness of the proposed method.

Original language	English
Pages (from-to)	915-927
Number of pages	13
Journal	Journal of the Franklin Institute
Volume	349
Issue number	3
DOIs	https://doi.org/10.1016/j.jfranklin.2011.10.021
State	Published - Apr 2012

Bibliographical note

Funding Information:
This work is supported by the National Natural Science Foundation of China under Grant no. 60974027 and NUST Research Funding (2011YBXM26). The work of M.S. Mahmoud is supported by the deanship of scientific research (DSR) at KFUPM through project IN100018 .

ASJC Scopus subject areas

Control and Systems Engineering
Signal Processing
Computer Networks and Communications
Applied Mathematics

Access to Document

10.1016/j.jfranklin.2011.10.021

Cite this

@article{cc8eff7d237340cd900ab47c87eaaaa8,

title = "Finite-time analysis and H ∞ control for switched stochastic systems",

abstract = "This paper is concerned with the finite-time stability, boundedness and H ∞ control problems for a class of switched stochastic systems. Using the average dwell time method and the multiple Lyapunov-like function technique, some sufficient conditions are proposed to guarantee the finite-time properties for the switched stochastic systems in the form of matrix inequalities. Also, a state feedback controller for the finite-time H ∞ control problem is obtained. An example is employed to verify the effectiveness of the proposed method.",

author = "Zhengrong Xiang and Changhui Qiao and Mahmoud, \{Magdi S.\}",

note = "Funding Information: This work is supported by the National Natural Science Foundation of China under Grant no. 60974027 and NUST Research Funding (2011YBXM26). The work of M.S. Mahmoud is supported by the deanship of scientific research (DSR) at KFUPM through project IN100018 .",

year = "2012",

month = apr,

doi = "10.1016/j.jfranklin.2011.10.021",

language = "English",

volume = "349",

pages = "915--927",

journal = "Journal of the Franklin Institute",

issn = "0016-0032",

publisher = "Elsevier Ltd.",

number = "3",

}

TY - JOUR

T1 - Finite-time analysis and H ∞ control for switched stochastic systems

AU - Xiang, Zhengrong

AU - Qiao, Changhui

AU - Mahmoud, Magdi S.

N1 - Funding Information: This work is supported by the National Natural Science Foundation of China under Grant no. 60974027 and NUST Research Funding (2011YBXM26). The work of M.S. Mahmoud is supported by the deanship of scientific research (DSR) at KFUPM through project IN100018 .

PY - 2012/4

Y1 - 2012/4

N2 - This paper is concerned with the finite-time stability, boundedness and H ∞ control problems for a class of switched stochastic systems. Using the average dwell time method and the multiple Lyapunov-like function technique, some sufficient conditions are proposed to guarantee the finite-time properties for the switched stochastic systems in the form of matrix inequalities. Also, a state feedback controller for the finite-time H ∞ control problem is obtained. An example is employed to verify the effectiveness of the proposed method.

AB - This paper is concerned with the finite-time stability, boundedness and H ∞ control problems for a class of switched stochastic systems. Using the average dwell time method and the multiple Lyapunov-like function technique, some sufficient conditions are proposed to guarantee the finite-time properties for the switched stochastic systems in the form of matrix inequalities. Also, a state feedback controller for the finite-time H ∞ control problem is obtained. An example is employed to verify the effectiveness of the proposed method.

UR - https://www.scopus.com/pages/publications/84857652092

U2 - 10.1016/j.jfranklin.2011.10.021

DO - 10.1016/j.jfranklin.2011.10.021

M3 - Article

AN - SCOPUS:84857652092

SN - 0016-0032

VL - 349

SP - 915

EP - 927

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

IS - 3

ER -