H∞ sliding mode control for uncertain neutral-type stochastic systems with Markovian jumping parameters

Y. G. Kao; C. H. Wang; J. Xie; H. R. Karimi; W. Li

doi:10.1016/j.ins.2015.03.047

H_∞ sliding mode control for uncertain neutral-type stochastic systems with Markovian jumping parameters

Y. G. Kao
, C. H. Wang^*
, J. Xie
, H. R. Karimi
, W. Li

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology Weihai
Ocean University of China
University of Agder

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

49 Scopus citations

Abstract

This paper is devoted to the investigation of H_∞ sliding mode control (SMC) for uncertain neutral stochastic systems with Markovian jumping parameters and time-varying delays. A sliding surface functional is firstly constructed. Then, the sliding mode control law is designed to guarantee the reachability of the sliding surface in a finite-time interval. The sufficient conditions for asymptotically stochastic stability of sliding mode dynamics with a given disturbance attenuation level are presented in terms of linear matrix inequalities (LMIs). Finally, an example is provided to illustrate the efficiency of the proposed method.

Original language	English
Pages (from-to)	200-211
Number of pages	12
Journal	Information Sciences
Volume	314
DOIs	https://doi.org/10.1016/j.ins.2015.03.047
State	Published - 1 Sep 2015

Keywords

H control
Linear matrix inequality (LMI)
Markovian switching
Neutral stochastic system
Sliding mode control (SMC)

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10.1016/j.ins.2015.03.047

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title = "H∞ sliding mode control for uncertain neutral-type stochastic systems with Markovian jumping parameters",

abstract = "This paper is devoted to the investigation of H∞ sliding mode control (SMC) for uncertain neutral stochastic systems with Markovian jumping parameters and time-varying delays. A sliding surface functional is firstly constructed. Then, the sliding mode control law is designed to guarantee the reachability of the sliding surface in a finite-time interval. The sufficient conditions for asymptotically stochastic stability of sliding mode dynamics with a given disturbance attenuation level are presented in terms of linear matrix inequalities (LMIs). Finally, an example is provided to illustrate the efficiency of the proposed method.",

keywords = "H control, Linear matrix inequality (LMI), Markovian switching, Neutral stochastic system, Sliding mode control (SMC)",

author = "Kao, \{Y. G.\} and Wang, \{C. H.\} and J. Xie and Karimi, \{H. R.\} and W. Li",

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AU - Kao, Y. G.

AU - Wang, C. H.

AU - Xie, J.

AU - Karimi, H. R.

AU - Li, W.

PY - 2015/9/1

Y1 - 2015/9/1

N2 - This paper is devoted to the investigation of H∞ sliding mode control (SMC) for uncertain neutral stochastic systems with Markovian jumping parameters and time-varying delays. A sliding surface functional is firstly constructed. Then, the sliding mode control law is designed to guarantee the reachability of the sliding surface in a finite-time interval. The sufficient conditions for asymptotically stochastic stability of sliding mode dynamics with a given disturbance attenuation level are presented in terms of linear matrix inequalities (LMIs). Finally, an example is provided to illustrate the efficiency of the proposed method.

AB - This paper is devoted to the investigation of H∞ sliding mode control (SMC) for uncertain neutral stochastic systems with Markovian jumping parameters and time-varying delays. A sliding surface functional is firstly constructed. Then, the sliding mode control law is designed to guarantee the reachability of the sliding surface in a finite-time interval. The sufficient conditions for asymptotically stochastic stability of sliding mode dynamics with a given disturbance attenuation level are presented in terms of linear matrix inequalities (LMIs). Finally, an example is provided to illustrate the efficiency of the proposed method.

KW - H control

KW - Linear matrix inequality (LMI)

KW - Markovian switching

KW - Neutral stochastic system

KW - Sliding mode control (SMC)

UR - https://www.scopus.com/pages/publications/84929223243

U2 - 10.1016/j.ins.2015.03.047

DO - 10.1016/j.ins.2015.03.047

M3 - 文章

AN - SCOPUS:84929223243

SN - 0020-0255

VL - 314

SP - 200

EP - 211

JO - Information Sciences

JF - Information Sciences

ER -

H_∞ sliding mode control for uncertain neutral-type stochastic systems with Markovian jumping parameters

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Keywords

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