非标准单一扰动系统的反馈控制  

Feedback Control of Nonstandard Singularly Perturbed Systems

作　　者：张晓路[1] 

机构地区：[1]山东建筑工程学院信息与电气工程系,山东济南250014

出　　处：《西华大学学报（自然科学版）》2005年第5期32-34,共3页Journal of Xihua University:Natural Science Edition

基　　金：山东省教育厅科研项目(J01F07)

摘　　要：研究了线性时不变单一扰动系统的反馈控制,给出了能在慢模式(低频)和快模式(高频)为稳定和可测的假设下,单一扰动系统的反馈控制使系统稳定的控制器的参数计算。结果表明,任何双频模式的稳定控制器可按所设计的高频控制器来稳定系统的快模式,设计低频控制器来稳定慢模式。This paper studies the feedback control of linear time-invariant singularly perturbed systems, It is shown that under stabilizability-detectability assumption on the slow and fast models, the theory of feedback control of singularly perturbed system can be extended. The paper gives a parameterization of all compensators that stabilize the system while preserving its two-time-scale structure. It is shown that any two-frequency-scale stabilizing compensator can be asymptotically approximated by a compensator designed via a sequential procedure. In this procedure, a fast（high-frequency）compensator is designed first to stabilize the fast model of the system. Then, a strictly proper slow（low-frequency）compensator designed to stabilize a modified slow model.

关 键 词：单一扰动系统 控制器 双频模式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]