Convex LMI Approach for Stability of Critically Stable Systems with Slope-restricted Nonlinearities

被引:0
|
作者
Ahmad, N. Syazreen [1 ]
Carrasco, J. [2 ]
机构
[1] Univ Sains Malaysia, Sch Elect & Elect Engn, Engn Campus, Nibong Tebal 14300, Penang, Malaysia
[2] Univ Manchester, Sch Elect & Elect Engn, Control Syst Ctr, Manchester M13 9PL, Lancs, England
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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 presents the stability analysis of critically stable systems with slope-restricted nonlinearities, which are very common in many practical systems. The stability of such systems is guaranteed via combination of noncausal Zames-Falb and Popov IQC multipliers where the conditions are formulated in terms of convex LMI searches. Several numerical examples are presented where we show that, with only simple searches, the combination of the Popov and Zames-Falb IQCs significantly improves the results and reduces the computation burden.
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页码:3228 / 3233
页数:6
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