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采样系统的频率响应和L_2诱导范数 被引量:10

Frequency Response and the L_2-induced Norm of Sampled-data Systems
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摘要 提升技术已成为采样系统设计的主要工具,但提升变换不能保证频率响应不变,故不适用于加权(函数)H∞设计.为此,针对采样控制系统的结构特点,将频率响应分为两个通道进行计算.采用经典的采样系统理论,既可以得到频率响应,又可以求得采样系统的L2诱导范数.方法简单直观,物理概念清楚. It is pointed out that the lifting technique is not suitable for H∞ synthesis with weighting functions of sampled-data systems. According to the special structure of the sampled-data control system, the signal channel is really composed of two parts: A continuous-time part and a discrete-time one. So the frequency response can be obtained via the classical sampled-data theory, and the L2-induced norm of the system can be obtained as well. This method is simple, intuitive, and with clear physical meanings.
出处 《控制与决策》 EI CSCD 北大核心 2005年第10期1133-1136,共4页 Control and Decision
基金 哈尔滨工业大学重点学科建设基金项目(54100179)
关键词 采样系统 提升技术 频率响应 L2诱导范数 H∞设计 Sampled-data system Lifting technique Frequency response L2-induced norm H∞synthesis
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参考文献12

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二级参考文献4

  • 1Bamieh B A, Pearson, Jr J B. A general framework for linear periodic systems with applications to H∞ sampled-data control. IEEE Transactions on Automatic Control, 1992, 37(4): 418-435.
  • 2Stein G. Respect the unstable. IEEE Transactions on Control Systems, 2003, 23(4): 12-25.
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  • 4Chen Tong-Wen, Francis B A. H∞-optimal sampled-data control: Computation and design. Automatica,1996, 32(2): 223-228.

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