论文标题
重置系统的频域稳定方法
A Frequency-Domain Stability Method for Reset Systems
论文作者
论文摘要
如今，由于高精度行业的期望不断上升，对线性PID控制器的替代方案的需求增加了。在文献中广泛证明了重置控制器解决这一重要挑战的潜力。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，并且依赖于系统的参数模型，这些模型可能会阻碍这些控制器在行业中的适用性。著名的HBETA方法试图解决这一重大问题。但是，评估频域中的h \ b {eta}条件很复杂，尤其是对于高维植物而言。此外，在重置为非零值的情况下，它不能用于评估重置控制系统的UBIB稳定性。这些问题已在本文中解决了一阶重置元素，并提出了一种易于使用的频率方法，以评估重置控制系统的稳定性。通过一个实际例子证明了拟议方法的有效性。
Nowadays, the demand for an alternative to linear PID controllers has increased because of the rising expectations of the high-precision industry. The potential of reset controllers to solve this important challenge has been extensively demonstrated in the literature. However, similarly to other non-linear controllers, the stability analysis for these controllers is complex and relies on parametric models of the systems which may hinder the applicability of these controllers in industry. The well-known Hbeta method tries to solve this significant issue. However, assessing the H\b{eta} condition in the frequency-domain is complex, especially for high dimensional plants. In addition, it cannot be used to assess UBIBS stability of reset control systems in the case of reseting to non-zero values. These problems have been solved in this paper for the first order reset elements, and an easy-to-use frequency approach for assessing stability of reset control systems is proposed. The effectiveness of the proposed approach is demonstrated through a practical example.
