A SOS-based approach to residual generators for discrete-time polynomial nonlinear systems

被引：0
|
作者：
Xu, Jun [1 ]
Lurn, Kai Yew [1 ]
Loh, Ai Poh [2 ]
Xie, Lihua [3 ]
机构：
[1] Natl Univ Singapore, Temasek Labs, 5 Sports Dr 2, Singapore 117508, Singapore
[2] Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 117508, Singapore
[3] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore
来源：
PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14 | 2007年
关键词：
fault detection; H-infinity filter; nonlinear systems; linear matrix inequality (LMI); bilinear matrix inequality (BMI); nonlinear matrix inequality (NLMI); sum of squares (SOS);
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper mainly discusses the residual generation problem for discrete-time polynomial nonlinear systems with unknown inputs. By employing state-dependent polynomial Lyapunov functions, sufficient conditions for fault detection using l2-gain performance indices are presented in terms of nonlinear matrix inequalities (NMIs). We show that those NMIs can be solved by the recently developed technique named sum of squares (SOS), which essentially is an LMI feasibility problem.
引用
收藏
页码：1790 / 1795
页数：6
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