论文标题

适用于比例的振动控制器的无模型调整方法

A model-free tuning method for proportional-multi-resonant controllers

论文作者

Lorenzini, Charles, Pereira, Luís Fernando Alves, Bazanella, Alexandre Sanfelice, da Silva, Gustavo R. Gonçalves

论文摘要

共振控制器广泛用于涉及周期信号的参考跟踪和干扰拒绝的应用。控制器设计通常是通过反复试验的方法或需要精确植物模型,复杂的数学和复杂工具的时间和资源消耗的分析方法来执行的。在本文中,我们提出了一种易于实现的,无模型的方法,用于调整适用于一般线性时间不变的因果植物的比例 - 异位共振控制器。就像Ziegler-Nichols方法一样,所提出的方法包括识别植物频率响应的一个特定点 - 在具有可调相实验的继电器中很容易获得,然后使用简单的调整公式和表设计控制器。该方法详细分析了三个示例,显示了其实际吸引力和广泛的适用性。

Resonant controllers are widely used in applications involving reference tracking and disturbance rejection of periodic signals. The controller design is typically performed by a trial-and-error approach or by means of time and resource-consuming analytic methods that require an accurate plant model, intricated mathematics and sophisticated tools. In this paper, we propose an easily implementable, model-free method for tuning a proportional-multi-resonant controller applicable to general linear time-invariant causal plants. Just like the Ziegler-Nichols methods, the proposed methodology consist in identifying one specific point of the plant's frequency response -- which is easily obtained in a relay with adjustable phase experiment -- and then designing the controller with simple tuning formulas and tables. The method is analyzed in detail for three examples, showing its practical appeal and wide applicability.

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