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 in | International journal of robust and nonlinear control Vol. 26; no. 16; pp. 3595 - 3610 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Bognor Regis
Blackwell Publishing Ltd
10.11.2016
Wiley Subscription Services, Inc |
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ISSN | 1049-8923 1099-1239 |
DOI | 10.1002/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. |
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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 |
Author_xml | – sequence: 1 givenname: Hongjiu surname: Yang fullname: Yang, Hongjiu email: yanghongjiu@ysu.edu.cn, Correspondence to: Hongjiu Yang, Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China., yanghongjiu@ysu.edu.cn organization: Institute of Electrical Engineering, Yanshan University, 066004, Qinhuangdao, China – sequence: 2 givenname: Yuanqing surname: Xia fullname: Xia, Yuanqing organization: School of Automation, Beijing Institute of Technology, 100081, Beijing, China – sequence: 3 givenname: Huanhuan surname: Yuan fullname: Yuan, Huanhuan organization: Institute of Electrical Engineering, Yanshan University, 066004, Qinhuangdao, China – sequence: 4 givenname: Jingjing surname: Yan fullname: Yan, Jingjing organization: College of Electrical Engineering, Henan University of Technology, 450001, Zhengzhou, China |
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Quantized feedback stabilization of linear systems. IEEE Transactions on Automatic Control 2000; 45(7):1279-1289. Xia Y, Xie W, Zhu Z, Wang X, Wang G. Performance analysis of networked predictive control systems with data dropout. Optimal Control, Applications and Methods 2013; 34(6):742-756. Hu T, Lin Z. Control Systems with Actuator Saturation: Analysis and Design. Birkhäuser: Boston, 2001. Lennartson B, Middleton R, Gustafsson I. Numerical sensitivity of linear matrix inequalities using shift and delta operators. IEEE Transactions on Automatic Control 2012; 57(11):2874-2879. Lu K, Xia Y, Fu M. Controller design for rigid spacecraft attitude tracking with actuator saturation. Information Sciences 2013; 220: 343-366. Liu H, Boukas EK, Sun F, Ho D. Controller design for Markov jumping systems subject to actuator saturation. Automatica 2006; 42(3):459-465. Liu H, Boukas EK, Sun F. Robust control of uncertain discrete-time Markovian jump systems with actuator saturation. International Journal of Control 2006; 79(7):805-812. Liberzon D. On stabilization of linear systems with limited information. IEEE Transactions on Automatic Control 2003; 48(2):304-307. Yang H, Xia Y, Shi P, Zhao L. Analysis and Synthesis of Delta Operator Systems. Springer-Verlag: Berlin Heidelberg, 2012. 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. Zhou B, Lin Z, Duan GR. Properties of the parametric Lyapunov equation based low-gain design with applications in stabilization of time-delay systems. IEEE Transactions on Automatic Control 2009; 54(7):1698-1704. Xia Y, Fu M, Liu G-P. Analysis and Synthesis of Networked Control Systems. Springer-Verlag: Berlin, Heidelberg, 2011. Yang H, Xia Y, Shi P, Fu M. Stability of Markovian jump systems over networks via delta operator approach. Circuits, Systems and Signal Processing 2012; 31(1):107-125. 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. Zhang J, Lam J, Xia Y. Output feedback sliding mode control under networked environment. International Journal of Systems Science 2013; 44(4):750-759. 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. Xie X, Yue D, Ma T, Zhu X. Further studies on control synthesis of discrete-time T-S fuzzy systems via augmented multi-indexed matrix approach. IEEE Transactions on Cybernetics 2014; 44(12):2784-2791. Yang H, Xia Y, Shi P. Stabilization of networked control systems with nonuniform random sampling periods. International Journal of Robust and Nonlinear Control 2011; 21(5):501-926. Middleton R, Goodwin G. Improved finite word length characteristics in digital control using delta operators. IEEE Transactions on Automatic Control 1986; 31(11):1015-1021. Yan J, Xia Y. Stabilization of nonlinear continuous system with input quantization and packet dropout. IET Control Theory and Applications 2012; 6(15):2426-2433. 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. Hu T, Lin Z, Chen BM. Analysis and design for discrete-time linear systems subject to actuator saturation. Systems and Control Letters 2002; 45(2):97-112. Zhang J, Shi P, Xia Y. Fuzzy delay compensation control for T-S fuzzy systems over network. IEEE Transactions on Cybernetics 2013; 1: 259-268. Yan J, Xia Y, Liu B, Fu M. Stabilization of quantized linear systems with packet dropout. IET Control Theory and Applications 2011; 5(8):982-989. Li H, Sun F, Sun Z, Du J. Optimal state feedback integral control using network-based measurements. IEEE Transactions on Instrumentation and Measurement 2012; 61(12):3127-3135. Xia Y, Xie W, Liu B, Wang X. Data-driven predictive control for networked control systems. Information Sciences 2013; 235: 45-54. Yang H, Xia Y, Shi P, Liu B. Guaranteed cost control of networked control systems based on delta operator Kalman filter. International Journal of Adaptive Control and Signal Processing 2013; 27(8):701-717. 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. Xia Y, Yan J, Shi P, Fu M. Stability analysis of networked control systems with quantized feedback inputs and measurements. 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References_xml | – reference: Li H, Yang H, Sun F, Xia Y. A network-bound-dependent stabilization method of networked control systems. Automatica 2013; 49(8):2561-2566. – reference: Yang H, Xia Y, Shi P. Stabilization of networked control systems with nonuniform random sampling periods. International Journal of Robust and Nonlinear Control 2011; 21(5):501-926. – 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. – reference: Liu H, Boukas EK, Sun F, Ho D. Controller design for Markov jumping systems subject to actuator saturation. Automatica 2006; 42(3):459-465. – reference: 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. – reference: Hu T, Lin Z. Control Systems with Actuator Saturation: Analysis and Design. Birkhäuser: Boston, 2001. – reference: Zhang J, Shi P, Xia Y. Fuzzy delay compensation control for T-S fuzzy systems over network. IEEE Transactions on Cybernetics 2013; 1: 259-268. – reference: Xia Y, Xie W, Liu B, Wang X. Data-driven predictive control for networked control systems. Information Sciences 2013; 235: 45-54. – reference: Yan J, Xia Y, Liu B, Fu M. Stabilization of quantized linear systems with packet dropout. IET Control Theory and Applications 2011; 5(8):982-989. – reference: Li H, Sun F, Sun Z, Du J. Optimal state feedback integral control using network-based measurements. IEEE Transactions on Instrumentation and Measurement 2012; 61(12):3127-3135. – reference: Hu T, Lin Z, Chen BM. Analysis and design for discrete-time linear systems subject to actuator saturation. Systems and Control Letters 2002; 45(2):97-112. – reference: Lennartson B, Middleton R, Gustafsson I. Numerical sensitivity of linear matrix inequalities using shift and delta operators. IEEE Transactions on Automatic Control 2012; 57(11):2874-2879. – reference: Li H, Chow MY, Sun Z. EDA-based speed control of a networked DC motor system. IEEE Transactions on Industrial Electronics 2009; 56(5):1727-1735. – reference: Li H, Chow MY, Sun Z. Optimal stabilizing gain selection for networked control systems with time delays and packet losses. IEEE Transactions on Control Systems Technology 2009; 17(5):1154-1162. – reference: Xia Y, Yan J, Shi P, Fu M. Stability analysis of networked control systems with quantized feedback inputs and measurements. IEEE Transactions on Industrial Informatics 2013; 9(1):313-324. – reference: Xia Y, Xie W, Zhu Z, Wang X, Wang G. Performance analysis of networked predictive control systems with data dropout. Optimal Control, Applications and Methods 2013; 34(6):742-756. – reference: Xie X, Yue D, Ma T, Zhu X. Further studies on control synthesis of discrete-time T-S fuzzy systems via augmented multi-indexed matrix approach. IEEE Transactions on Cybernetics 2014; 44(12):2784-2791. – reference: Zhang J, Lam J, Xia Y. Output feedback delay compensation control for networked control systems with random delays. Information Sciences 2014; 265: 154-166. – reference: Yang H, Xia Y, Shi P, Fu M. Stability of Markovian jump systems over networks via delta operator approach. Circuits, Systems and Signal Processing 2012; 31(1):107-125. – reference: Xia Y, Fu M, Liu G-P. Analysis and Synthesis of Networked Control Systems. Springer-Verlag: Berlin, Heidelberg, 2011. – reference: Yan J, Xia Y. Stabilization of nonlinear continuous system with input quantization and packet dropout. IET Control Theory and Applications 2012; 6(15):2426-2433. – reference: Middleton R, Goodwin G. Improved finite word length characteristics in digital control using delta operators. IEEE Transactions on Automatic Control 1986; 31(11):1015-1021. – reference: Zhang J, Lam J, Xia Y. Output feedback sliding mode control under networked environment. International Journal of Systems Science 2013; 44(4):750-759. – reference: Brockett RW, Liberzon D. Quantized feedback stabilization of linear systems. IEEE Transactions on Automatic Control 2000; 45(7):1279-1289. – reference: Yang H, Xia Y, Shi P, Zhao L. Analysis and Synthesis of Delta Operator Systems. Springer-Verlag: Berlin Heidelberg, 2012. – reference: Goodwin GC, Lozano Leal R, Mayne DQ, Middleton RH. Rapprochement between continuous and discrete model reference adaptive control. Automatica 1986; 22(2):199-207. – reference: Yang H, Xia Y, Shi P, Liu B. Guaranteed cost control of networked control systems based on delta operator Kalman filter. International Journal of Adaptive Control and Signal Processing 2013; 27(8):701-717. – reference: Lu K, Xia Y, Fu M. Controller design for rigid spacecraft attitude tracking with actuator saturation. Information Sciences 2013; 220: 343-366. – reference: Zhou B, Lin Z, Duan GR. Properties of the parametric Lyapunov equation based low-gain design with applications in stabilization of time-delay systems. IEEE Transactions on Automatic Control 2009; 54(7):1698-1704. – reference: Liu H, Boukas EK, Sun F. Robust control of uncertain discrete-time Markovian jump systems with actuator saturation. International Journal of Control 2006; 79(7):805-812. – reference: Zhang L, Gao H, Kaynak O. Network-induced constraints in networked control systems-a survey. IEEE Transactions on Industrial Informatics 2013; 9(1):403-416. – year: 2011 – volume: 44 start-page: 2784 issue: 12 year: 2014 end-page: 2791 article-title: Further studies on control synthesis of discrete‐time T‐S fuzzy systems via augmented multi‐indexed matrix approach publication-title: IEEE Transactions on Cybernetics – volume: 21 start-page: 501 issue: 5 year: 2011 end-page: 926 article-title: Stabilization of networked control systems with nonuniform random sampling periods publication-title: International Journal of Robust and Nonlinear Control – volume: 45 start-page: 1279 issue: 7 year: 2000 end-page: 1289 article-title: Quantized feedback stabilization of linear systems publication-title: IEEE Transactions on Automatic Control – volume: 220 start-page: 343 year: 2013 end-page: 366 article-title: Controller design for rigid spacecraft attitude tracking with actuator saturation publication-title: Information Sciences – volume: 9 start-page: 403 issue: 1 year: 2013 end-page: 416 article-title: Network‐induced constraints in networked control systems‐a survey publication-title: IEEE Transactions on Industrial Informatics – volume: 49 start-page: 2561 issue: 8 year: 2013 end-page: 2566 article-title: A network‐bound‐dependent stabilization method of networked control systems publication-title: Automatica – volume: 6 start-page: 2426 issue: 15 year: 2012 end-page: 2433 article-title: Stabilization of nonlinear continuous system with input quantization and packet dropout publication-title: IET Control Theory and Applications – volume: 27 start-page: 701 issue: 8 year: 2013 end-page: 717 article-title: Guaranteed cost control of networked control systems based on delta operator Kalman filter publication-title: International Journal of Adaptive Control and Signal Processing – volume: 22 start-page: 199 issue: 2 year: 1986 end-page: 207 article-title: Rapprochement between continuous and discrete model reference adaptive control publication-title: Automatica – volume: 31 start-page: 107 issue: 1 year: 2012 end-page: 125 article-title: Stability of Markovian jump systems over networks via delta operator approach publication-title: Circuits, Systems and Signal Processing – volume: 79 start-page: 805 issue: 7 year: 2006 end-page: 812 article-title: Robust control of uncertain discrete‐time Markovian jump systems with actuator saturation publication-title: International Journal of Control – volume: 53 start-page: 1548 issue: 6 year: 2008 end-page: 1554 article-title: A parametric Lyapunov equation approach to the design of low gain feedback publication-title: IEEE Transactions on Automatic Control – year: 2001 – volume: 20 start-page: 954 issue: 10 year: 2012 end-page: 962 article-title: Stabilization of quantized systems based on Kalman filter publication-title: Control Engineering Practice – volume: 42 start-page: 459 issue: 3 year: 2006 end-page: 465 article-title: Controller design for Markov jumping systems subject to actuator saturation publication-title: Automatica – volume: 265 start-page: 154 year: 2014 end-page: 166 article-title: Output feedback delay compensation control for networked control systems with random delays publication-title: Information Sciences – volume: 38 start-page: 351 issue: 2 year: 2002 end-page: 359 article-title: An analysis and design method for linear systems subject to actuator saturation and disturbance publication-title: Automatica – volume: 57 start-page: 2694 issue: 10 year: 2012 end-page: 2700 article-title: Stability analysis for high frequency networked control systems publication-title: IEEE Transactions on Automatic Control – volume: 9 start-page: 313 issue: 1 year: 2013 end-page: 324 article-title: Stability analysis of networked control systems with quantized feedback inputs and measurements publication-title: IEEE Transactions on Industrial Informatics – year: 2012 – volume: 58 start-page: 2465 issue: 6 year: 2011 end-page: 2472 article-title: Gain scheduling based state feedback integral control for networked control systems publication-title: IEEE Transactions on Industrial Electronics – volume: 31 start-page: 1015 issue: 11 year: 1986 end-page: 1021 article-title: Improved finite word length characteristics in digital control using delta operators publication-title: IEEE Transactions on Automatic Control – volume: 34 start-page: 742 issue: 6 year: 2013 end-page: 756 article-title: Performance analysis of networked predictive control systems with data dropout publication-title: Optimal Control, Applications and Methods – volume: 5 start-page: 982 issue: 8 year: 2011 end-page: 989 article-title: Stabilization of quantized linear systems with packet dropout publication-title: IET Control Theory and Applications – volume: 45 start-page: 97 issue: 2 year: 2002 end-page: 112 article-title: Analysis and design for discrete‐time linear systems subject to actuator saturation publication-title: Systems and Control Letters – volume: 17 start-page: 1154 issue: 5 year: 2009 end-page: 1162 article-title: Optimal stabilizing gain selection for networked control systems with time delays and packet losses publication-title: IEEE Transactions on Control Systems Technology – volume: 1 start-page: 259 year: 2013 end-page: 268 article-title: Fuzzy delay compensation control for T‐S fuzzy systems over network publication-title: IEEE Transactions on Cybernetics – volume: 48 start-page: 304 issue: 2 year: 2003 end-page: 307 article-title: On stabilization of linear systems with limited information publication-title: IEEE Transactions on Automatic Control – volume: 44 start-page: 750 issue: 4 year: 2013 end-page: 759 article-title: Output feedback sliding mode control under networked environment publication-title: International Journal of Systems Science – volume: 61 start-page: 3127 issue: 12 year: 2012 end-page: 3135 article-title: Optimal state feedback integral control using network‐based measurements publication-title: IEEE Transactions on Instrumentation and Measurement – volume: 57 start-page: 2874 issue: 11 year: 2012 end-page: 2879 article-title: Numerical sensitivity of linear matrix inequalities using shift and delta operators publication-title: IEEE Transactions on Automatic Control – volume: 235 start-page: 45 year: 2013 end-page: 54 article-title: Data‐driven predictive control for networked control systems publication-title: Information Sciences – volume: 56 start-page: 1727 issue: 5 year: 2009 end-page: 1735 article-title: EDA‐based speed control of a networked DC motor system publication-title: IEEE Transactions on Industrial Electronics – volume: 54 start-page: 1698 issue: 7 year: 2009 end-page: 1704 article-title: Properties of the parametric Lyapunov equation based low‐gain design with applications in stabilization of time‐delay systems publication-title: IEEE Transactions on Automatic Control |
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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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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 |
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