摘要
在实际控制系统中,常常需要关注局部频段下的性能指标,而现有的频率加权方法缺乏针对性。由于时滞现象的普遍性及时滞条件下频域分析的复杂性,需要进一步给出时滞系统在局部频段下的H_∞性能分析方法。为研究线性时滞系统在局部频段下的性能,基于广义Kalman-Yakubovich-Popov引理及窗口频域H_∞范数的概念,给出了线性时滞系统的广义界实定理。针对不同频率范围,给出适用于不同频率条件的频域分析线性矩阵不等式判据。最后通过仿真实例,表明窗口频域分析比传统的全频段H_∞分析具有针对性和有效性。
In practical control systems, some concerns are often focused on the performance of the local band. However, the frequen- cy weighing methods lack of efficiency. On the other hand, time delay phenomenon is often encountered in many practical systems and for the complexity of frequency domain analysis, there is a need for further studies on finite frequency analysis of time delay systems. This paper is concerned with window H∞ performance of linear systems with time delay. Generalized bounded real theorem for time delay system is presented based on Generalized Kalman-Yakubovich-Popov lemma and window H∞ concept. Then, a series of criteria in terms of LMI are proposed for different frequency intervals. Finally, the effectiveness of window frequency analysis is illustrated through an example.
出处
《控制工程》
CSCD
北大核心
2012年第5期896-899,共4页
Control Engineering of China
基金
国家自然科学基金资助项目(61074032
61004019)
上海市基础重点项目(10JC1405000)
关键词
窗口H∞范数
GKYP引理
时滞系统
广义界实定理
window H∞ norm
generalized Kalman-Yakubovich-Popov lemma
time delay systems
generalized bounded real theorem
