具有时变时延的网络控制系统的量化控制
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摘要
研究了具有时变时延的网络化控制系统的量化控制问题。首先在考虑量化因素的影响下,基于网络传输环境建立了一类包含时延和量化信息的新的网络化控制系统模型;其次运用Lyapunov稳定性理论和线形矩阵不等式(LMI)方法,给出系统稳定性条件和对数量化控制器的设计方法;最后通过仿真实验证明了该方法的有效性。
The problem of quantized control of networked control systems with time-varying delay is discussed. Based on the network transmission environment,a new networked control system with delay and quantization considered is firstly modeled. Then,by using Lyapunov stability theory and linear matrix inequality( LMI) approach,the stable condition of the system is given and the method for designing logarithmic quantization controller is proposed. Finally,simulations are implemented to demonstrate the effectiveness of the model.
The problem of quantized control of networked control systems with time-varying delay is discussed. Based on the network transmission environment,a new networked control system with delay and quantization considered is firstly modeled. Then,by using Lyapunov stability theory and linear matrix inequality( LMI) approach,the stable condition of the system is given and the method for designing logarithmic quantization controller is proposed. Finally,simulations are implemented to demonstrate the effectiveness of the model.
引文
[1]Luan X,Shi P,Liu F.Stabilization of Networked Control Systems with Random Delays[J].IEEE Transactions on Industrial Electronics,2011,58(9):4323-4330.
[2]Yu H,Antsaklis P J.Event-triggered Output Feedback Control for Networked Control Systems Using Passivity:Achieving L2 Stability in the Presence of Communication Delays and Signal Quantization[J].Automatica,2013,49(1):30-38.
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[6]宋洪波,刘国平.具有多传输通道系统的网络化预测控制[J].控制理论与应用,2015,32(7):912-917.(Song H B,Liu G P.Networked Predictive Control for Systems with Multiple Communication Channels[J].Control Theory and Applications,2015,32(7):912-917.)
[7]郑英,方华京,谢林柏,等.具有随机时延的网络化控制系统基于等价空间的故障诊断[J].信息与控制,2003,32(2):156-159.(Zheng Y,Fang H J,Xie L B,et al.Parity Space Based Fault Diagnosis of Networked Control System with Random Delay[J].Information and Control,2003,32(2):156-159.)
[8]Zhang L,Hristu-Varsakelis D.Communication and Control Co-design for Networked Control Systems[J].Automatica,2006,42(6):953-958.
[9]樊卫华,蔡骅,陈庆伟,等.时延网络控制系统的稳定性[J].控制理论与应用,2004,21(6):33-37.(Fan W H,Cai H,Chen Q W,et al.Stability of Networked Control Systems with Time Delay[J].Control Theory and Applications,2004,21(6):33-37.)
[10]谢成祥,樊卫华,胡维礼.一类短时延网络控制系统的建模和控制方法.南京理工大学学报(自然科学版),2009,33(2):156-160.(Xie Chengxiang,Fan Weihua,Hu Weili.Modeling and Control Method of a Class of Networked Control Systems with Short Time-delay[J].Journal of Nanjing University of Science and Technology,2009,33(2):156-160.)
[11]Zhu Qixin,Lu Kaihong.H∞Guaranteed Cost Control for Networked Control Systems under Scheduling Policy Based on Predicted Error[J].Mathematical Problems in Engineering,2014:1-14.
[2]Yu H,Antsaklis P J.Event-triggered Output Feedback Control for Networked Control Systems Using Passivity:Achieving L2 Stability in the Presence of Communication Delays and Signal Quantization[J].Automatica,2013,49(1):30-38.
[3]Xia Y,Xie W,Liu B,et al.Data-driven Predictive Control for Networked Control Systems[J].Information Sciences,2013,235(20):45-54.
[4]Luck R,Ray A.An Observer-based Compensator for Distributed Delays[J].Automatica,1990,26(5):903-908.
[5]Gao H J,Chen T W,Lam J.A New Delay System Approach to Network-based Control[J].Automatica,2008,44(1):39-52.
[6]宋洪波,刘国平.具有多传输通道系统的网络化预测控制[J].控制理论与应用,2015,32(7):912-917.(Song H B,Liu G P.Networked Predictive Control for Systems with Multiple Communication Channels[J].Control Theory and Applications,2015,32(7):912-917.)
[7]郑英,方华京,谢林柏,等.具有随机时延的网络化控制系统基于等价空间的故障诊断[J].信息与控制,2003,32(2):156-159.(Zheng Y,Fang H J,Xie L B,et al.Parity Space Based Fault Diagnosis of Networked Control System with Random Delay[J].Information and Control,2003,32(2):156-159.)
[8]Zhang L,Hristu-Varsakelis D.Communication and Control Co-design for Networked Control Systems[J].Automatica,2006,42(6):953-958.
[9]樊卫华,蔡骅,陈庆伟,等.时延网络控制系统的稳定性[J].控制理论与应用,2004,21(6):33-37.(Fan W H,Cai H,Chen Q W,et al.Stability of Networked Control Systems with Time Delay[J].Control Theory and Applications,2004,21(6):33-37.)
[10]谢成祥,樊卫华,胡维礼.一类短时延网络控制系统的建模和控制方法.南京理工大学学报(自然科学版),2009,33(2):156-160.(Xie Chengxiang,Fan Weihua,Hu Weili.Modeling and Control Method of a Class of Networked Control Systems with Short Time-delay[J].Journal of Nanjing University of Science and Technology,2009,33(2):156-160.)
[11]Zhu Qixin,Lu Kaihong.H∞Guaranteed Cost Control for Networked Control Systems under Scheduling Policy Based on Predicted Error[J].Mathematical Problems in Engineering,2014:1-14.