An Improved Absolute Stability Criterion for Time-Delay Lur’e Systems and its Frequency Domain Interpretation
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- 作者：Qing Gao ; Jiajia Du ; Xian Liu
- 关键词：Slope ; restricted nonlinearity ; Delay ; dependent criterion ; Absolute stability ; Linear matrix inequality (LMI) ; Frequency domain inequality (FDI)
- 刊名：Circuits, Systems, and Signal Processing
- 出版年：2017
- 出版时间：March 2017
- 年：2017
- 卷：36
- 期：3
- 页码：916-930
- 全文大小：
- 刊物类别：Engineering
- 刊物主题：Circuits and Systems; Electrical Engineering; Signal,Image and Speech Processing; Electronics and Microelectronics, Instrumentation;
- 出版者：Springer US
- ISSN：1531-5878
- 卷排序：36
文摘
This paper is concerned with absolute stability analysis for time-delay Lur’e systems with both sector- and slope-restricted nonlinearities. A new delay-dependent stability criterion is given by using a Lur’e-Postnikov functional. The additional slope restrictions on the nonlinearities play important roles in improving the absolute stability conditions. Numerical examples are presented to demonstrate the effectiveness of the proposed criterion. Moreover, a frequency domain interpretation for the criterion is presented as well.