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

Liu, Yunlong; Wang, Hong; Guo, Lei

doi:10.1109/TAC.2018.2819683

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

Abstract

Here in this note, the robust stochastic stabilization and robust H_infinity 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, a composite hierarchical control scheme is proposed that integrates the output of the disturbance observer with state feedback control law. Sufficient conditions for the existence of the disturbance observer and composite hierarchical 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. It has been shown that the disturbance rejection performance can also be achieved. A numerical example is provided to show the potential of the proposed techniques and encouraging results have been obtained.

Authors:

Liu, Yunlong ^[1]; Wang, Hong ^[2]; Guo, Lei ^[3]

Northeastern Univ., Shenyang (China). State Key Lab. of Synthetical Automation for Process Industries
Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
Beihang Univ., Beijing (China). Key Lab. of Science and Technology on Aircraft Control for National Defence

Publication Date:: Mon Mar 26 00:00:00 EDT 2018

Research Org.:: Pacific Northwest National Lab. (PNNL), Richland, WA (United States)

Sponsoring Org.:: USDOE; National Natural Science Foundation of China (NSFC); Chinese National Post-doctor Science Foundation

OSTI Identifier:: 1438242

Report Number(s):: PNNL-SA-125771
Journal ID: ISSN 0018-9286

Grant/Contract Number:: AC05-76RL01830; 61333007; 61621004; 2015M571322

Resource Type:: Accepted Manuscript

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:: 42 ENGINEERING; Robustness; Disturbance observers; Stochastic processes; Control systems; Stochastic systems; Uncertainty; Uncertain systems; Composite control; stochastic systems; linear matrix inequalities; robust control

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.

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                    Liu, Yunlong, Wang, Hong, & Guo, Lei. Composite Robust $H_\infty$ Control for Uncertain Stochastic Nonlinear Systems with State Delay via Disturbance Observer.  United States.  https://doi.org/10.1109/TAC.2018.2819683

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                    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.  https://doi.org/10.1109/TAC.2018.2819683.  https://www.osti.gov/servlets/purl/1438242.

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@article{osti_1438242,

  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 = {Here in this note, the robust stochastic stabilization and robust H_infinity 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, a composite hierarchical control scheme is proposed that integrates the output of the disturbance observer with state feedback control law. Sufficient conditions for the existence of the disturbance observer and composite hierarchical 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. It has been shown that the disturbance rejection performance can also be achieved. A numerical example is provided to show the potential of the proposed techniques and encouraging results have been obtained.},

  doi          = {10.1109/TAC.2018.2819683},

  journal      = {IEEE Transactions on Automatic Control},

  number       = 12,

  volume       = 63,

  place        = {United States},

  year         = {Mon Mar 26 00:00:00 EDT 2018},

  month        = {Mon Mar 26 00:00:00 EDT 2018}

}

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https://doi.org/10.1109/TAC.2018.2819683

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Cited by: 24 works

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Fig. 1. : Disturbance and its estimation.

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Works referencing / citing this record:

Feedback passification of switched stochastic time‐delay systems with multiple disturbances via DOBC
journal, December 2019

Ma, Lianfang; Sun, Haibin; Zong, Guangdeng
International Journal of Robust and Nonlinear Control, Vol. 30, Issue 4
DOI: 10.1002/rnc.4844

Composite synchronization control for delayed coupling complex dynamical networks via a disturbance observer-based method
journal, December 2019

Kaviarasan, Boomipalagan; Kwon, Oh Min; Park, Myeong Jin
Nonlinear Dynamics, Vol. 99, Issue 2
DOI: 10.1007/s11071-019-05379-7

Figures / Tables found in this record:

Fig. 1. (p. 8)

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

Abstract

Citation Formats

Figures / Tables:

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