H∞ controller design of networked control systems with markov packet dropouts

Dong Wang; Jianliang Wang; Wei Wang

doi:10.1109/TSMCA.2012.2211587

H_∞ controller design of networked control systems with markov packet dropouts

Dong Wang, Jianliang Wang, Wei Wang

Research output: Journal Publication › Article › peer-review

137 Citations (Scopus)

Abstract

This paper presents anH controller design method for networked control systems (NCSs) with bounded packet dropouts. A new model is proposed to represent packet dropouts satisfying a Markov process and late-arrival packets. The closed-loop NCS with a state-feedback controller is transformed into a Markov system, which is convenient for the controller synthesis. Two types of state-feedback control laws are taken into account. Sufficient conditions on the existence of controllers for stochastic stability with an H disturbance attenuation level are derived through a Lyapunov function dependent on the upper bound of the number of consecutive packet dropouts. A numerical example is finally provided to show the effectiveness of the proposed method.

Original language	English
Pages (from-to)	689-697
Number of pages	9
Journal	IEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans
Volume	43
Issue number	3
DOIs	https://doi.org/10.1109/TSMCA.2012.2211587
Publication status	Published - 2013
Externally published	Yes

Keywords

H∞ control
Markov process
Networked control systems (NCSs)
Packet dropouts

ASJC Scopus subject areas

Control and Systems Engineering
Software
Information Systems
Human-Computer Interaction
Computer Science Applications
Electrical and Electronic Engineering

Access to Document

10.1109/TSMCA.2012.2211587

Cite this

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title = "H∞ controller design of networked control systems with markov packet dropouts",

abstract = "This paper presents anH controller design method for networked control systems (NCSs) with bounded packet dropouts. A new model is proposed to represent packet dropouts satisfying a Markov process and late-arrival packets. The closed-loop NCS with a state-feedback controller is transformed into a Markov system, which is convenient for the controller synthesis. Two types of state-feedback control laws are taken into account. Sufficient conditions on the existence of controllers for stochastic stability with an H disturbance attenuation level are derived through a Lyapunov function dependent on the upper bound of the number of consecutive packet dropouts. A numerical example is finally provided to show the effectiveness of the proposed method.",

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AB - This paper presents anH controller design method for networked control systems (NCSs) with bounded packet dropouts. A new model is proposed to represent packet dropouts satisfying a Markov process and late-arrival packets. The closed-loop NCS with a state-feedback controller is transformed into a Markov system, which is convenient for the controller synthesis. Two types of state-feedback control laws are taken into account. Sufficient conditions on the existence of controllers for stochastic stability with an H disturbance attenuation level are derived through a Lyapunov function dependent on the upper bound of the number of consecutive packet dropouts. A numerical example is finally provided to show the effectiveness of the proposed method.

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