论文标题

重置系统的频域稳定方法

Frequency Domain Stability Method for Reset Systems

论文作者

Dastjerdi, Ali Ahmadi, Astolfi, Alessandro, HosseinNia, S. H.

论文摘要

如今,由于技术的发展,线性PID控制器无法满足高精度行业的要求。根据文献,重置控制器可以克服这一重要障碍。但是,与其他非线性控制器类似,这些控制器的稳定性分析很复杂,需要系统的参数模型。因此,这些控制器的适用性可能会降低行业。众所周知的HB方法是这个重大问题的解决方案之一。然而,评估频域中的HB状况很复杂,尤其是对于高维植物而言。此外,在重置为非零值的情况下,它无法评估重置控制系统的UBIB稳定性。在本文中,已经为第一阶和二阶重置元素解决了上述问题,并开发了用于评估复位控制系统稳定性的频域方法。最后,提出了一些实际示例,以证明直接使用频率响应测量来评估稳定性的拟议方法的有效性。

Today, linear PID controllers cannot satisfy requirements of high-precision industry due to the development of technology. According to the literature, reset controllers can overcome this important barrier. However, similar to other non-linear controllers, stability analysis for these controllers is complex and needs parametric models of the systems. Consequently, the applicability of these controllers may diminish in industry. The well-known Hb method is one of the solutions of this significant problem. Nevertheless, assessing the Hb condition in the frequency-domain is complex, particularly for high dimensional plants. Furthermore, it cannot assess UBIBS stability of reset control systems in the case of reseting to non-zero values. In this paper, the aforementioned problems have been solved for the first and second order reset elements and a frequency-domain approach for assessing stability of reset control systems is developed. Finally, some practical examples are presented to demonstrate the effectiveness of the proposed approach to use the frequency response measurement directly to assess the stability.

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