On feedback capability for a class of semiparametric uncertain systems

被引:21
作者
Huang, Chaodong [1 ]
Guo, Lei [1 ]
机构
[1] Chinese Acad Sci, Inst Syst Sci, Key Lab Syst & Control, AMSS, Beijing, Peoples R China
基金
中国国家自然科学基金;
关键词
Semiparametric model; Feedback capability; Uncertainty; Stability; Nonlinear systems; Parameter switching;
D O I
10.1016/j.automatica.2012.02.023
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 main purpose of this paper is to understand and characterize the maximum capability of the feedback mechanism for a basic class of scalar discrete-time semiparametric minimum-phase control systems, where both parametric and nonparametric uncertainties are included. We will demonstrate that the necessary and sufficient condition to stabilize the class of systems is L < 3/2 + root 2, where L is the Lipschitz constant describing the "size" of the uncertainty of the nonparametric part. This critical value is the same as that first obtained in Xie and Guo (2000b) for a class of purely nonparametric systems, which shows that the capability of feedback is not influenced by the parameterized uncertainty in the systems, as long as the corresponding parametric nonlinear function has a linear growth rate. While the necessity proof is directly obtainable from Xie and Guo (2000b), the main task of this paper is to prove the sufficiency part. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码:873 / 878
页数:6
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