Study on Practical Design Method of Digital Control by Frequency Shaping in Continuous-time System.

连续时间系统频率整形数字控制实用设计方法研究。

• 批准号: 17560387
• 负责人: CHIDA Yuichi
• 金额: $ 2.3万
• 依托单位: Shinshu University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2005
• 资助国家: 日本
• 起止时间: 2005 至 2006
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-17560387/
• 关键词: Control Engineering; Digital Control; Digital Re-design; Frequency Response; Stability; Robust Stability; Vibration Control; Robust Control

In this research, a practical and useful controller design procedure based on the frequency shaping which is similar to that in continuous-time domain is constructed. The following two main results are derived.(1) A novel digital re-design method is proposed.In the proposed method, the frequency response of a digital control system is matched to a continuous-time system and the stability of a discretized system and a digital controller. Stability conditions of the discretized system and the controller is represented by LMIs and the design problem which is described by LMIs can be solved by an iterative procedure. Performances are verified by some examples. The proposed method is useful for practical uses.(2) Some controller design methods are proposed.In order to use digital re-design method, it is required to use appropriate controller design method in the continuous-time domain. For this purpose, two methods are obtained by this research. The first one is the extended H-infinity control design method with pole location constraints. The proposed method is suitable for applications of vibration isolation control problems. Control performances are verified by some experiments by using a mechanical vibration system. The second one is a robust stability analysis and controller design method which reduces so-called conservativeness of guaranteed variations of plants by using conventional robust control design methods.These results contribute to practical control design technology.

在本研究中，我们建构了一套实用的控制器设计方法，其是基于类似于连续时间域的频率成形法。得到以下两个主要结果。(1)提出了一种新的数字再设计方法，该方法使数字控制系统的频率响应与连续时间系统相匹配，并保证离散系统和数字控制器的稳定性。离散化系统和控制器的稳定性条件由线性矩阵不等式表示，线性矩阵不等式描述的设计问题可以通过迭代求解。通过实例验证了算法的性能。该方法具有一定的实用价值。(2)提出了几种控制器的设计方法，为了采用数字再设计方法，需要在连续时间域中采用合适的控制器设计方法。为此，通过本研究得到了两种方法。第一种是极点位置约束下的扩展H_∞控制设计方法。该方法适用于振动隔离控制问题的应用。利用机械振动系统进行了控制实验，验证了控制效果。第二种是鲁棒稳定性分析和控制器设计方法，它克服了传统鲁棒控制设计方法对被控对象保证变化的保守性，为实际控制设计提供了理论依据。

项目成果

Vibration Isolation Control for Narrow-Band Frequency Disturbances via Extended H-infinity Control

通过扩展 H-无穷大控制实现窄带频率干扰的隔振控制

• 发表时间: 2005
• 期刊: Transactions of the Institute of Systems, Control and Information Engineers 18-7
• 作者: Chida;Y.;Ishihara;Y.;Ohtomi;K.
• 通讯作者: K.

狭帯域周波数外乱に対するアクティブ振動絶縁制御

针对窄带频率干扰的主动隔振控制

• 发表时间: 2005
• 期刊: 日本機械学会論文集(C編) 71巻・705号
• 作者: 千田有一;石原義之;翁拓也;古川亮;大富浩一
• 通讯作者: 大富浩一

Active Vibration Isolation Control for Narrow-Band Frequency Disturbances

针对窄带频率干扰的主动隔振控制

• 发表时间: 2005
• 期刊: Transactions of the Japan Society of Mechanical Engineers 71-705
• 作者: Chida;Y.;Ishihara;Y.;Okina;T.;Furukawa;R.;Ohtomi;K.
• 通讯作者: K.

Robust Stability Analysis of a Mechanical Vibration Control System by using Virtual Perturbations

使用虚拟扰动对机械振动控制系统进行鲁棒稳定性分析

• 发表时间: 2006
• 期刊: 8th International Conference on Motion and Vibration Control (CD-ROM)
• 作者: Chida;Y.;Kimura;T.;Furukawa;R.
• 通讯作者: R.

Extended H-infinity Control with Pole Placement Constraints via LMI Approach and Its Application

基于 LMI 方法的极点配置约束的扩展 H 无穷大控制及其应用

• 发表时间: 2006
• 期刊: Transactions of the Society of Instrument and Control Engineers 42-7
• 作者: Ishihara;Y.;Chida;Y.
• 通讯作者: Y.