Stability Analysis of High Frequency NCSs

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• 作者：Hongjiu Yang (1) yanghongjiu@126.com
  Yuanqing Xia (2) xia_yuanqing@bit.edu.cn
  Peng Shi (3) Pengshiuk@gmail.com
  Ling Zhao (4) zhaoling84@gmail.com
• 刊名：Lecture Notes in Control and Information Sciences
• 出版年：2012
• 出版时间：2012
• 年：2012
• 卷：430
• 期：1
• 页码：231-253
• 全文大小：614.8 KB
• 作者单位：1. Institute of Electrical Engineering, Yanshan University, Hebei Avenue 438, 066004 Qinhuangdao, China, People鈥檚 Republic2. School of Automation, Beijing Institute of Technology, 100081 Beijing, China, People鈥檚 Republic3. Department of Computing and Mathematical Sciences, University of Glamorgan, CF37 1DL Pontypridd, United Kingdom4. College of Mechanical Engineering, Yanshan University, Qinhuangdao, China, People鈥檚 Republic
• 刊物类别：Engineering
• 刊物主题：Control Engineering
  Vibration, Dynamical Systems and Control
  
• 出版者：Springer Berlin / Heidelberg

文摘

For the reason of that high frequency sampling will increase the possibility of network congestion, high frequency constricts of NCSs is more affected by time delays and packets dropout than low frequency constricts. Therefore, designing a high frequency system to describe NCSs and satisfying stability performance by using delta operator approach is a key task in this topic. To deal with finite frequency requirements, both weighting functions and frequency gridding has been utilized in [150] and [286], respectively. KYP lemma establishes equivalence between such frequency domain inequality for a transfer function and a LMI for its state space realization [198]. It originates from Popov’s criterion [191]. The Popov’s frequency condition is equivalent to existence of a certain simple Lyapunov function form [133, 282]. Based on the famous Shannon sampling theory, sampling frequency is much larger than system frequency. Goodwin introduced delta operator method to deal with high frequency sampling in [82]. A number of results on delta operator method have been reported in literatures, such as [215, 285, 284]. The generalized KYP lemma in Chapter 9 has given a direct treatment of the finite frequency performance, thus it is can avoid computational burden and guarantee gain property performances simultaneously as in [115, 118, 119].