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Title: Composite Robust $$H_\infty$$ Control for Uncertain Stochastic Nonlinear Systems with State Delay via Disturbance Observer

Abstract

In this paper, the robust stochastic stabilization and robust H1 control problems are investigated for uncertain stochastic time-delay systems with nonlinearity and multiple disturbances. By estimating the disturbance, which can be described by an exogenous model, in control input channel, a composite control scheme is proposed by integrating the output of the disturbance observer with state feedback control law. Sufficient conditions for the existence of the disturbance observer and composite controller are established in terms of linear matrix inequalities, which ensure the mean-square asymptotic stability of the resulting closed-loop system and the disturbance attenuation and disturbance rejection performance can be achieved. A numerical example is provided to show the potential of the proposed techniques.

Authors:
; ;
Publication Date:
Research Org.:
Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1489249
Report Number(s):
PNNL-SA-125771
Journal ID: ISSN 0018-9286
DOE Contract Number:  
AC05-76RL01830
Resource Type:
Journal Article
Journal Name:
IEEE Transactions on Automatic Control
Additional Journal Information:
Journal Volume: 63; Journal Issue: 12; Journal ID: ISSN 0018-9286
Publisher:
IEEE
Country of Publication:
United States
Language:
English
Subject:
H-infinite index, Stochastic control, observers

Citation Formats

Liu, Yunlong, Wang, Hong, and Guo, Lei. Composite Robust $H_\infty$ Control for Uncertain Stochastic Nonlinear Systems with State Delay via Disturbance Observer. United States: N. p., 2018. Web. doi:10.1109/TAC.2018.2819683.
Liu, Yunlong, Wang, Hong, & Guo, Lei. Composite Robust $H_\infty$ Control for Uncertain Stochastic Nonlinear Systems with State Delay via Disturbance Observer. United States. doi:10.1109/TAC.2018.2819683.
Liu, Yunlong, Wang, Hong, and Guo, Lei. Mon . "Composite Robust $H_\infty$ Control for Uncertain Stochastic Nonlinear Systems with State Delay via Disturbance Observer". United States. doi:10.1109/TAC.2018.2819683.
@article{osti_1489249,
title = {Composite Robust $H_\infty$ Control for Uncertain Stochastic Nonlinear Systems with State Delay via Disturbance Observer},
author = {Liu, Yunlong and Wang, Hong and Guo, Lei},
abstractNote = {In this paper, the robust stochastic stabilization and robust H1 control problems are investigated for uncertain stochastic time-delay systems with nonlinearity and multiple disturbances. By estimating the disturbance, which can be described by an exogenous model, in control input channel, a composite control scheme is proposed by integrating the output of the disturbance observer with state feedback control law. Sufficient conditions for the existence of the disturbance observer and composite controller are established in terms of linear matrix inequalities, which ensure the mean-square asymptotic stability of the resulting closed-loop system and the disturbance attenuation and disturbance rejection performance can be achieved. A numerical example is provided to show the potential of the proposed techniques.},
doi = {10.1109/TAC.2018.2819683},
journal = {IEEE Transactions on Automatic Control},
issn = {0018-9286},
number = 12,
volume = 63,
place = {United States},
year = {2018},
month = {1}
}