Robust Stabilization for DOSs with Time-Varying Delays
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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：51-60
- 全文大小：300.1 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
Goodwin constructed delta operator instead of traditional shift operator for sampling continuous systems in [82]. The proposed method can unify some previous related results of the continuous and discrete systems into the framework of the DOSs framework. A class of systems in delta domain has been studied in [32, 140, 266]. The problem of system instability when the sampling time is fast can be solved by using delta operator model [49]. The delta operator model also has the advantage of better numerical properties at high sampling rates [219]. In contrast to the discrete shift operator approximates, the delta operator approach means that the Euler derivative can lead to a quasi-continuous time s-domain model for high sampling frequencies, see for example, [54] and the reference therein. The robustness problem for some DOSs with parametric uncertainties also has been investigated. There are a few papers consider the stability of DOSs such as [214] and [215], and H ∞ control problem has been reported in [52], which proved that the discrete-time controller approach to the continuous-time systems using delta operator.