Quantized stabilization of networked control systems with actuator saturation

Summary In this paper, we investigate the problems of stabilization of networked control systems with quantization and actuator saturation via delta operator approach. The definition of the domain of attraction for delta operator systems is introduced to analyze the stochastic stability of the close...

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Published inInternational journal of robust and nonlinear control Vol. 26; no. 16; pp. 3595 - 3610
Main Authors Yang, Hongjiu, Xia, Yuanqing, Yuan, Huanhuan, Yan, Jingjing
Format Journal Article
LanguageEnglish
Published Bognor Regis Blackwell Publishing Ltd 10.11.2016
Wiley Subscription Services, Inc
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ISSN1049-8923
1099-1239
DOI10.1002/rnc.3525

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Abstract Summary In this paper, we investigate the problems of stabilization of networked control systems with quantization and actuator saturation via delta operator approach. The definition of the domain of attraction for delta operator systems is introduced to analyze the stochastic stability of the closed‐loop networked control systems. The quantizer is a uniform one with arbitrary quantization regions, and the packet dropout process is modeled as a Bernoulli process. On the basis of the zoom strategy and Lyapunov theory in delta domain, sufficient conditions are given for the closed‐loop delta operator systems to be mean square stable, and the feedback controllers are designed to ensure the stability of networked control systems. A single link direct joint driven manipulator model is presented to show the effectiveness of the main results. Copyright © 2016 John Wiley & Sons, Ltd.
AbstractList Summary In this paper, we investigate the problems of stabilization of networked control systems with quantization and actuator saturation via delta operator approach. The definition of the domain of attraction for delta operator systems is introduced to analyze the stochastic stability of the closed-loop networked control systems. The quantizer is a uniform one with arbitrary quantization regions, and the packet dropout process is modeled as a Bernoulli process. On the basis of the zoom strategy and Lyapunov theory in delta domain, sufficient conditions are given for the closed-loop delta operator systems to be mean square stable, and the feedback controllers are designed to ensure the stability of networked control systems. A single link direct joint driven manipulator model is presented to show the effectiveness of the main results. Copyright © 2016 John Wiley & Sons, Ltd.
Summary In this paper, we investigate the problems of stabilization of networked control systems with quantization and actuator saturation via delta operator approach. The definition of the domain of attraction for delta operator systems is introduced to analyze the stochastic stability of the closed‐loop networked control systems. The quantizer is a uniform one with arbitrary quantization regions, and the packet dropout process is modeled as a Bernoulli process. On the basis of the zoom strategy and Lyapunov theory in delta domain, sufficient conditions are given for the closed‐loop delta operator systems to be mean square stable, and the feedback controllers are designed to ensure the stability of networked control systems. A single link direct joint driven manipulator model is presented to show the effectiveness of the main results. Copyright © 2016 John Wiley & Sons, Ltd.
In this paper, we investigate the problems of stabilization of networked control systems with quantization and actuator saturation via delta operator approach. The definition of the domain of attraction for delta operator systems is introduced to analyze the stochastic stability of the closed-loop networked control systems. The quantizer is a uniform one with arbitrary quantization regions, and the packet dropout process is modeled as a Bernoulli process. On the basis of the zoom strategy and Lyapunov theory in delta domain, sufficient conditions are given for the closed-loop delta operator systems to be mean square stable, and the feedback controllers are designed to ensure the stability of networked control systems. A single link direct joint driven manipulator model is presented to show the effectiveness of the main results.
Author Yuan, Huanhuan
Xia, Yuanqing
Yang, Hongjiu
Yan, Jingjing
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Li H, Sun Z, Chow MY, Sun F. Gain scheduling based state feedback integral control for networked control systems. IEEE Transactions on Industrial Electronics 2011; 58(6):2465-2472.
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Zhou B, Duan GR, Lin Z. A parametric Lyapunov equation approach to the design of low gain feedback. IEEE Transactions on Automatic Control 2008; 53(6):1548-1554.
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2012; 61
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– reference: Xia Y, Yan J, Shang J, Fu M, Liu B. Stabilization of quantized systems based on Kalman filter. Control Engineering Practice 2012; 20(10):954-962.
– reference: Hu T, Lin Z, Chen BM. An analysis and design method for linear systems subject to actuator saturation and disturbance. Automatica 2002; 38(2):351-359.
– reference: Zhou B, Duan GR, Lin Z. A parametric Lyapunov equation approach to the design of low gain feedback. IEEE Transactions on Automatic Control 2008; 53(6):1548-1554.
– reference: Yang H, Xia Y, Shi P, Fu M. Stability analysis for high frequency networked control systems. IEEE Transactions on Automatic Control 2012; 57(10):2694-2700.
– reference: Liberzon D. On stabilization of linear systems with limited information. IEEE Transactions on Automatic Control 2003; 48(2):304-307.
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Snippet Summary In this paper, we investigate the problems of stabilization of networked control systems with quantization and actuator saturation via delta operator...
Summary In this paper, we investigate the problems of stabilization of networked control systems with quantization and actuator saturation via delta operator...
In this paper, we investigate the problems of stabilization of networked control systems with quantization and actuator saturation via delta operator approach....
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wiley
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SubjectTerms actuator saturation
Actuators
Control systems
delta operator system
Feedback control
Linear operators
networked control system
packets dropout
Quantization
Saturation
Stability
Stabilization
Title Quantized stabilization of networked control systems with actuator saturation
URI https://api.istex.fr/ark:/67375/WNG-PCMB1ZMG-D/fulltext.pdf
https://onlinelibrary.wiley.com/doi/abs/10.1002%2Frnc.3525
https://www.proquest.com/docview/1829417307
https://www.proquest.com/docview/1855371212
Volume 26
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