Controller design via pade approximation can lead to instability

被引:21
作者
Silva, GJ [1 ]
Datta, A [1 ]
Bhattacharyya, SP [1 ]
机构
[1] IBM Serv Grp, 11400 Burnet Rd, Austin, TX 78759 USA
来源
PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5 | 2001年
关键词
D O I
10.1109/CDC.2001.980953
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The Pade approximation is often used to approximate a pure time delay by a rational transfer function. In this paper, we show via examples that PID controllers that stabilize such an approximation may actually be destabilizing for the true system. Recent results, giving the entire set of stabilizing PID controllers for finite dimensional linear time invariant systems as well as for systems with time delay, are used to make a comparative study, through examples, of the stabilizing sets for the true plant and its Pade approximants.
引用
收藏
页码:4733 / +
页数:3
相关论文
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[2]  
Datta A., 2000, ADV IND CON
[3]  
Silva GJ, 2000, P AMER CONTR CONF, P963, DOI 10.1109/ACC.2000.876643
[4]  
SILVA GJ, 2000, 0001 TEX A M U DEP E
[5]  
Walton K, 1992, TIME DELAY SYSTEMS S