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Direct tuning of the data-driven controller considering closed-loop stability based on a fictitious reference signal
Measurement and Control ( IF 1.3 ) Pub Date : 2021-04-29 , DOI: 10.1177/00202940211010834
Shuichi Yahagi 1, 2 , Itsuro Kajiwara 1
Affiliation  

The direct tuning of controller parameters, which is based on data-driven control, has been attracting considerable attention because of the ease of its control system design. In practical use, it is important to consider the stability of the closed-loop system and model matching with few design parameters. In this study, we propose a direct tuning method based on a fictitious reference signal that considers the bounded-input bounded-output (BIBO) and model matching without repeating experiments. The proposed method includes two steps. In the first step, the BIBO stability is satisfied. The pole information is lost in the cost function of the conventional method using a fictitious reference signal. Then, we derive a new cost function that can prevent the loss of the pole information. This provides controller parameters that can stabilize the closed-loop system. The model matching between the reference model and the closed-loop system is considered in the second step. When model matching is achieved, the characteristics of the reference model almost match those of the closed-loop system, including the gain and phase margins. The parameters of the reference model are automatically tuned to realize model matching. Using the two-step method, we can obtain parameters considering BIBO stability and the model matching. In addition, there are no design parameters apart from the dealing noise. Two simulations and an experiment were performed on a system with dead time to verify the effectiveness of the proposed two-step method. The results showed that the proposed method provides BIBO stability and model-matched control parameters from the measured data through a one-time experiment without trial and error.



中文翻译:

基于虚拟参考信号的考虑闭环稳定性的数据驱动控制器的直接调整

由于控制系统设计的简便性,基于数据驱动控制的控制器参数直接调整已引起了广泛的关注。在实际应用中,考虑闭环系统的稳定性和设计参数很少的模型匹配非常重要。在这项研究中,我们提出了一种基于虚拟参考信号的直接调整方法,该方法考虑了有界输入有界输出(BIBO)和模型匹配,而无需重复实验。所提出的方法包括两个步骤。第一步,满足BIBO稳定性。极点信息在使用虚拟参考信号的常规方法的成本函数中丢失。然后,我们导出了一个新的成本函数,可以防止极点信息的丢失。这提供了可以稳定闭环系统的控制器参数。第二步考虑参考模型与闭环系统之间的模型匹配。当实现模型匹配时,参考模型的特性几乎与闭环系统的特性匹配,包括增益和相位裕量。参考模型的参数会自动调整以实现模型匹配。使用两步法,我们可以获得考虑BIBO稳定性和模型匹配的参数。此外,除了噪声外,没有设计参数。在具有死区时间的系统上进行了两次仿真和实验,以验证所提出的两步法的有效性。

更新日期:2021-04-30
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