Stochastic consensus control with finite frequency specification for Markov jump networks

X. Luan; C. Zhou; Z. Ding; F. Liu

doi:10.1002/rnc.3492

Stochastic consensus control with finite frequency specification for Markov jump networks

X. Luan, C. Zhou, Z. Ding, F. Liu

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Abstract

A stochastic finite frequency consensus protocol for directed networks with Markov jump topologies and external disturbances is proposed in this paper. By introducing the frequency band information into consensus control design, the disagreement dynamics of interconnected networks asymptotically converge to zero with an improved level of disturbance attenuation in the specific frequency band. In addition, the new model transformation approach is presented by exploring certain features of Laplacian matrix in real Jordan form, which leads to more generality of the designed protocol. A numerical example validates the potential of the developed results.

Original language	English
Article number	RNC-15-0081
Journal	International Journal of Robust and Nonlinear Control
DOIs	https://doi.org/10.1002/rnc.3492
Publication status	Published - 2015

Keywords

Markov jump network topology, Finite frequency H1 control, Stochastic consensus control, Frequency and time domain inequalities

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10.1002/rnc.3492

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title = "Stochastic consensus control with finite frequency specification for Markov jump networks",

abstract = "A stochastic finite frequency consensus protocol for directed networks with Markov jump topologies and external disturbances is proposed in this paper. By introducing the frequency band information into consensus control design, the disagreement dynamics of interconnected networks asymptotically converge to zero with an improved level of disturbance attenuation in the specific frequency band. In addition, the new model transformation approach is presented by exploring certain features of Laplacian matrix in real Jordan form, which leads to more generality of the designed protocol. A numerical example validates the potential of the developed results.",

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T1 - Stochastic consensus control with finite frequency specification for Markov jump networks

AU - Luan, X.

AU - Zhou, C.

AU - Ding, Z.

AU - Liu, F.

PY - 2015

Y1 - 2015

N2 - A stochastic finite frequency consensus protocol for directed networks with Markov jump topologies and external disturbances is proposed in this paper. By introducing the frequency band information into consensus control design, the disagreement dynamics of interconnected networks asymptotically converge to zero with an improved level of disturbance attenuation in the specific frequency band. In addition, the new model transformation approach is presented by exploring certain features of Laplacian matrix in real Jordan form, which leads to more generality of the designed protocol. A numerical example validates the potential of the developed results.

AB - A stochastic finite frequency consensus protocol for directed networks with Markov jump topologies and external disturbances is proposed in this paper. By introducing the frequency band information into consensus control design, the disagreement dynamics of interconnected networks asymptotically converge to zero with an improved level of disturbance attenuation in the specific frequency band. In addition, the new model transformation approach is presented by exploring certain features of Laplacian matrix in real Jordan form, which leads to more generality of the designed protocol. A numerical example validates the potential of the developed results.

KW - Markov jump network topology, Finite frequency H1 control, Stochastic consensus control, Frequency and time domain inequalities

U2 - 10.1002/rnc.3492

DO - 10.1002/rnc.3492

M3 - Article

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JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

M1 - RNC-15-0081

ER -

Stochastic consensus control with finite frequency specification for Markov jump networks

Abstract

Keywords

UN SDGs

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