A New Methodology for Rejection Non-periodic disurbances in Repetitive Control Systems

抑制重复控制系统非周期扰动的新方法

• 批准号: 12650454
• 负责人: NAKANO Michc
• 金额: $ 1.22万
• 依托单位: TAKUSHOKU UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2000
• 资助国家: 日本
• 起止时间: 2000 至 2001
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12650454/
• 关键词: Repetitive Control; Disyrbance Estimation; Disyrbance Rejection; A Circle of Curvature; Nonlinear Estimation; VSS Control; Globally Uniformly Uitimately Bounded; Lyapunov Function; スライディングセクタ; 曲率円; 外乱制御; 可変構造制御; スライディングモード; スライディングセクター

This study presents a new design method for repetitive control that employs discrete-time variable structure (VS) control algorithm and disturbance estimation based on a curvature model. First, an extended system containing an internal model of repetitive control is derived. Based on that, a sliding mode and a sliding sector are designed. Then a variable structure control law is designed so that the state converges inside the sliding sector. It ensures that there exists a Lyapunov function that decreases monotonically in the state space. Thus the system is asymptotically stable. Simulation results show that the proposed control system provides good performance. In order to improve the rejection performance of disturbances in a repetitive control system, a disturbance estimation method based on a curvature model is proposed. The main feature is that the stability of the repetitive control system is guaranteed when the estimated disturbance is incorporated directly into the designed repetitive control law. Simulation and experimental results show that disturbances are rejected efficiently when this approach is used.

这项研究提出了一种用于重复控制的新设计方法，该方法采用了基于曲率模型的离散时间变量结构（VS）控制算法和干扰估计。首先，得出了包含重复控制内部模型的扩展系统。基于此，设计了滑动模式和滑动扇区。然后，设计了可变结构控制定律，以使状态在滑动扇区内收敛。它确保存在Lyapunov函数，该函数在状态空间中单调降低。因此该系统在渐近稳定。仿真结果表明，提出的控制系统提供了良好的性能。为了提高重复控制系统中干扰的排斥性能，提出了一种基于曲率模型的干扰估计方法。主要特征是，当将估计的干扰直接纳入设计的重复控制定律时，可以保证重复控制系统的稳定性。仿真和实验结果表明，使用这种方法时会有效拒绝干扰。

项目成果

Min Wu, Jin-Hua She, Michio Nakano and Weihua Gui: "Expert control and fault diagnosis of the leaching process in a Zinc Hydrometallurgy plant"Control Engineering Practice. Vol.10, No.4. 433-442 (2002)

吴敏，佘金华，中野道雄，桂卫华：“湿法炼锌厂浸出过程的专家控制与故障诊断”控制工程实践。

J. -H. She, M Nakano and L. -L. Wang: "Suppression of Disturbances in Repetitive Control Systems -An approach based on curvature model of disturbances-"Trans. SICE. Vol.37, No.5. 397-402 (2001)

J.-H.

Jin-Hua She, Yaodong Pan, Michio Nakano December: "Repetitive control system with variable structure controller"The 6th International Workshop on Variable Structure Systems (Advances in variable structure systems Analysis, integration and applications) De

佘金华、潘耀东、中野道雄 12月：“带有变结构控制器的重复控制系统”第六届国际变结构系统研讨会（变结构系统分析、集成与应用进展）德

Min Wu, Jin-Hua She, Michio Nakano, Weihua Gui: "Expert control and fault diagnosis of the leaching process in a Zinc Hydrometallurgy plant"Control Engineering Practice. Vol.10,No.4. 433-442 (2002)

吴敏，佘金华，中野道夫，桂卫华：“湿法炼锌厂浸出过程的专家控制与故障诊断”控制工程实践。

余, 中野, 王: "繰返し制御系における外乱の抑制-外乱の曲率円弧モデルによるアプローチ-"計測自動制御学会論文集. Vol.37,No.5. 397-402 (2001)

Yu、Nakano 和 Wang：“重复控制系统中的干扰的抑制 - 使用干扰的曲率弧模型的方法 -”《仪器与控制工程师学会汇刊》，第 37 卷，第 5 期。397-402 (2001)