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arXiv 2010.08075eess.SYcs.ROcs.SY
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基于扰动观测器的离散时域运动控制系统的稳定性和鲁棒性

Stability and Robustness of the Disturbance Observer-based Motion Control Systems in Discrete-Time Domain

University of Sarajevo(萨拉热窝大学);University of Wollongong(卧龙岗大学);Keio University(庆应义塾大学);Massachusetts Institute of Technology(麻省理工学院)

Emre Sariyildiz, Satoshi Hangai, Tarik Uzunovic, Takahiro Nozaki, Kouhei Ohnishi

摘要:

本文在离散时间域分析了基于扰动观测器的数字运动控制系统的鲁棒稳定性和性能。结果表明,数字运动控制器的相位裕度和鲁棒性可以直接通过调整标称对象模型和观测器的带宽来调整。然而,由于鲁棒稳定性和性能约束以及噪声敏感性,它们具有上界和下界。当通过测量伺服系统的不同状态来合成数字运动控制器时,DOb的设计参数上的约束改变。例如,当在数字鲁棒运动控制器合成中采用速度和位置测量时,DOb的带宽受到噪声敏感性和水床效应的限制。当通过加速度测量来实现DOb时,由于水床效应而引起的鲁棒性约束被去除。标称植物模型和带宽的观测器的设计约束解析推导采用广义波德积分定理在离散时间。所提出的设计约束允许系统地合成一个高性能的基于DOB的数字鲁棒运动控制器。实验结果验证了所提出的分析和综合方法。

英文摘要:

This paper analyses the robust stability and performance of the Disturbance Observer- (DOb-) based digital motion control systems in discrete-time domain. It is shown that the phase margin and the robustness of the digital motion controller can be directly adjusted by tuning the nominal plant model and the bandwidth of the observer. However, they have upper and lower bounds due to robust stability and performance constraints as well as noise-sensitivity. The constraints on the design parameters of the DOb change when the digital motion controller is synthesised by measuring different states of a servo system. For example, the bandwidth of the DOb is limited by noise-sensitivity and waterbed effect when velocity and position measurements are employed in the digital robust motion controller synthesis. The robustness constraint due to the waterbed effect is removed when the DOb is implemented by acceleration measurement. The design constraints on the nominal plant model and the bandwidth of the observer are analytically derived by employing the generalised Bode Integral Theorem in discrete-time. The proposed design constraints allow one to systematically synthesise a high-performance DOb-based digital robust motion controller. Experimental results are given to verify the proposed analysis and synthesis methods.

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