Nonlinear Control of Zero Power Magnetic Bearing Using Exact Linearization and Sliding Mode Control

使用精确线性化和滑模控制的零功率磁力轴承非线性控制

• 批准号: 11650242
• 负责人: NONAMI Kenzo
• 金额: $ 2.18万
• 依托单位: Chiba University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1999
• 资助国家: 日本
• 起止时间: 1999 至 2000
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11650242/
• 关键词: Magnetic Bearing; Zero Power Control; Nonlinear Control; Sliding Mode Control; Exact Linearlization; Lyapunov Stability Theory; Lyapunov' Direct Method; Backstepping Method; 大域的漸近安定

The proposed nonlinear control system is applied to the actual test rig which is some kind of energy storage flywheel system with 4 DOF, and the performance of a zero power control for magnetic bearing system is verified. It is clarified through the simulations and experiments that the proposed nonlinear control in this research project is a very useful strategy to realize a zero power control of magnetic bearing system. Also, this proposed control strategy will be very powerful to stabilize for big deviations from the equilibrium point because of nonlinear control. Also, the proposed zero power nonlinear control has a strong robustness against the parameter changes and the big disturbances like a unbalance vibration. The nonlinear control system is designed based on Lyapunov's direct method. The electromagnets are switched by the nonlinear algorithm depending on the displacement and the velocity of a rotor. The most remarkable feature of this proposed control system is not complicated but simple for design procedure because each control system is equivalent to a single-degree of freedom vibration system which has only two parameters as to a damping factor and natural frequency.

将所提出的非线性控制系统应用于某四自由度储能飞轮系统试验台，验证了磁悬浮轴承系统零功率控制的性能。通过仿真和实验表明，本课题提出的非线性控制是实现磁悬浮轴承系统零功率控制的一种非常有用的策略。此外，由于非线性控制的存在，对于偏离平衡点较大的情况，该控制策略具有很强的镇定能力。所提出的零功率非线性控制对参数变化和不平衡振动等大扰动具有较强的鲁棒性。基于李亚普诺夫直接法设计了非线性控制系统。根据转子的位移和速度，采用非线性算法实现电磁铁的切换。该控制系统最显着的特点是不复杂，但设计过程简单，因为每个控制系统都等同于一个单自由度振动系统，该系统只有两个参数：一个阻尼系数和一个固有频率。

项目成果

有我祐一,野波健蔵,酒井克章: "ゼロパワー磁気軸受系の非線形制御(第2報,実験的検証)"日本機械学会論文集,C編. 67巻,654号. 401-406 (2001)

Yuichi Ariga、Kenzo Nonami、Katsuaki Sakai：“零功率磁力轴承系统的非线性控制（第二次报告，实验验证）”日本机械工程学会会刊，C 版，第 67 卷，第 654 期。401-406。 (2001)

有我祐一,野波健蔵,酒井克章: "リアプノフ直接法に基づく磁気軸受系の非線形制御"第42回自動制御連合講演会前刷集. 51-52 (1999)

Yuichi Ariga、Kenzo Nonami、Katsuaki Sakai：“基于 Lyapunov 直接法的磁轴承系统的非线性控制”第 42 届自动控制联盟会议预印本集 51-52（1999）。

Katsunori SAKAI, Kenzo NONAMI and Yuichi ARIGA: "Zero Power Nonlinear Control of a magnetic Bearing by means of Backstepping Procedure"Trans.Japan Society of Mech.Eng.. (to appear).

Katsunori SAKAI、Kenzo NONAMI 和 Yuichi ARIGA：“通过反步程序对磁力轴承进行零功率非线性控制”横贯日本机械工程学会（待发表）。

Kenzo NONAMI and Shuich HIRASAWA: "Sliding Mode Positioning Control of Single Link Flexible Arm Using H-infinity Control Hyperplane with Q Parametrization"JSME International Journal. 42(2). 350-356 (1999)

Kenzo NONAMI 和 Shuich HIRASAWA：“Sliding Mode Positioning Control of Single Link Flex Arm using H-infinity Control Hyperplane with Q Parametrization”JSME 国际期刊。

K. Nonami, S. Sivrioglu: "Variable Structure Systems, Sliding Mode and Nonlinear Control"Springer-Verlag UK. 386 (1999)

K. Nonami、S. Sivrioglu：“变结构系统、滑模和非线性控制”Springer-Verlag UK。