论文标题
重置控制系统的循环整形 - 高阶正弦输入描述功能方法
Loop-shaping for reset control systems -- A higher-order sinusoidal-input describing functions approach
论文作者
论文摘要
精确运动行业对速度和精度的不断增长的要求推动了控制要求,以达到线性控制理论的局限性。像RESET这样的非线性控制器提供了可行的替代方案,因为它们可以轻松地集成到现有的线性控制器结构中,并使用行业偏爱的环形整形技术设计。但是,当前,使用描述函数(DF)实现循环形状,并使用不适用于复位控制系统的线性控制灵敏度函数分析的性能,从而在预期和实际结果之间存在显着偏差。在本文中,我们克服了这一主要的瓶颈,以更广泛地适应重置控制。首先,我们以高阶正弦输入功能(HOSIDFS)的形式介绍用于重置控制器的频域工具的扩展,从而提供了对其行为的更深入的洞察力。其次,我们提出了一种新的方法,该方法使用开环复位控制系统的DF和HosIDF来估算闭环灵敏度函数,这是首次建立的 - 频域中的开环和重置控制系统的闭环行为之间的关系。在精确定位阶段,在模拟和实践中验证了所提出的解决方案的精度,并进一步分析了这些结果,以了解重置控制器的调整注意事项。
The ever-growing demands on speed and precision from the precision motion industry have pushed control requirements to reach the limitations of linear control theory. Nonlinear controllers like reset provide a viable alternative since they can be easily integrated into the existing linear controller structure and designed using industry-preferred loop-shaping techniques. However, currently, loop-shaping is achieved using the describing function (DF) and performance analysed using linear control sensitivity functions not applicable for reset control systems, resulting in a significant deviation between expected and practical results. We overcome this major bottleneck to the wider adaptation of reset control with two contributions in this paper. First, we present the extension of frequency-domain tools for reset controllers in the form of higher-order sinusoidal-input describing functions (HOSIDFs) providing greater insight into their behaviour. Second, we propose a novel method which uses the DF and HOSIDFs of the open-loop reset control system for the estimation of the closed-loop sensitivity functions, establishing for the first time - the relation between open-loop and closed-loop behaviour of reset control systems in the frequency domain. The accuracy of the proposed solution is verified in both simulation and practice on a precision positioning stage and these results are further analysed to obtain insights into the tuning considerations for reset controllers.