Stability analysis of networked control systems subject to packet-dropouts and finite-level quantization

This paper is concerned with the stability analysis of a networked control system, wherein communication from the controller to the plant input is through a digital channel subject to packet-dropouts and finite-level quantization. No acknowledgments of receipt are available to the controller. To all...

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Published inSystems & control letters Vol. 60; no. 5; pp. 325 - 332
Main Authors Ishido, Yumiko, Takaba, Kiyotsugu, Quevedo, Daniel E.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.05.2011
Elsevier
Subjects
Applied sciences
Attenuation
Buffering
Channels
Communication systems
Computer science; control theory; systems
Computer systems and distributed systems. User interface
Control system analysis
Control systems
Control theory. Systems
Disturbances
Exact sciences and technology
Finite-level quantization
Networked control systems
Packet-dropouts
Process control. Computer integrated manufacturing
Quantization
Software
Stability analysis
Tradeoffs
Finite-level quantization
Packet-dropouts
Stability analysis
Networked control systems
Buffering
Disturbance rejection
Small signal
Lossy channel
Distributed system
Signal quantization
Network analysis
Distributed control
Quantifier
Preconditioning
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Abstract This paper is concerned with the stability analysis of a networked control system, wherein communication from the controller to the plant input is through a digital channel subject to packet-dropouts and finite-level quantization. No acknowledgments of receipt are available to the controller. To alleviate the effect of packet-dropouts, the controller transmits tentative plant input sequences. Within this setup, we derive a sufficient condition for small ℓ ∞ signal ℓ ∞ stability of the networked control system. This condition requires the maximum number of consecutive packet-dropouts to be bounded. We also elucidate the trade-off which exists between the disturbance attenuation and the step size of the quantizer and the maximum number of consecutive packet-dropouts.
AbstractList This paper is concerned with the stability analysis of a networked control system, wherein communication from the controller to the plant input is through a digital channel subject to packet-dropouts and finite-level quantization. No acknowledgments of receipt are available to the controller. To alleviate the effect of packet-dropouts, the controller transmits tentative plant input sequences. Within this setup, we derive a sufficient condition for small ℓ ∞ signal ℓ ∞ stability of the networked control system. This condition requires the maximum number of consecutive packet-dropouts to be bounded. We also elucidate the trade-off which exists between the disturbance attenuation and the step size of the quantizer and the maximum number of consecutive packet-dropouts.
This paper is concerned with the stability analysis of a networked control system, wherein communication from the controller to the plant input is through a digital channel subject to packet-dropouts and finite-level quantization. No acknowledgments of receipt are available to the controller. To alleviate the effect of packet-dropouts, the controller transmits tentative plant input sequences. Within this setup, we derive a sufficient condition for small l[super][infinity] signal l[super][infinity] stability of the networked control system. This condition requires the maximum number of consecutive packet-dropouts to be bounded. We also elucidate the trade-off which exists between the disturbance attenuation and the step size of the quantizer and the maximum number of consecutive packet-dropouts.
Author Takaba, Kiyotsugu
Quevedo, Daniel E.
Ishido, Yumiko
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  surname: Ishido
  fullname: Ishido, Yumiko
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  organization: Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan
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  givenname: Kiyotsugu
  surname: Takaba
  fullname: Takaba, Kiyotsugu
  email: takaba@amp.i.kyoto-u.ac.jp
  organization: Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan
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  givenname: Daniel E.
  surname: Quevedo
  fullname: Quevedo, Daniel E.
  email: dquevedo@ieee.org
  organization: School of Electrical Engineering & Computer Science, The University of Newcastle, Callaghan, NSW 2308, Australia
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Issue 5
Keywords Finite-level quantization
Packet-dropouts
Stability analysis
Networked control systems
Buffering
Disturbance rejection
Small signal
Lossy channel
Distributed system
Signal quantization
Network analysis
Distributed control
Quantifier
Preconditioning
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Snippet This paper is concerned with the stability analysis of a networked control system, wherein communication from the controller to the plant input is through a...
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SubjectTerms Applied sciences
Attenuation
Buffering
Channels
Communication systems
Computer science; control theory; systems
Computer systems and distributed systems. User interface
Control system analysis
Control systems
Control theory. Systems
Disturbances
Exact sciences and technology
Finite-level quantization
Networked control systems
Packet-dropouts
Process control. Computer integrated manufacturing
Quantization
Software
Stability analysis
Tradeoffs
Title Stability analysis of networked control systems subject to packet-dropouts and finite-level quantization
URI https://dx.doi.org/10.1016/j.sysconle.2011.02.008
https://www.proquest.com/docview/880661863
Volume 60
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