nyquist stability criterion

简明释义

尼奎斯特稳定度判据

英英释义

例句

1.The nyquist stability criterion 奈奎斯特稳定性准则 is crucial for designing robust control systems in engineering applications.

在工程应用中，nyquist stability criterion 奈奎斯特稳定性准则对于设计稳健的控制系统至关重要。

2.The design of the control system must satisfy the nyquist stability criterion 奈奎斯特稳定性准则 to ensure stability under varying conditions.

控制系统的设计必须满足nyquist stability criterion 奈奎斯特稳定性准则，以确保在不同条件下的稳定性。

3.In our simulations, we observed that violating the nyquist stability criterion 奈奎斯特稳定性准则 led to oscillations in the output.

在我们的模拟中，我们观察到违反nyquist stability criterion 奈奎斯特稳定性准则导致输出出现振荡。

4.We used the nyquist stability criterion 奈奎斯特稳定性准则 to evaluate the stability of the closed-loop system.

我们使用nyquist stability criterion 奈奎斯特稳定性准则来评估闭环系统的稳定性。

5.Before finalizing the feedback loop, we need to analyze the frequency response to confirm it meets the nyquist stability criterion 奈奎斯特稳定性准则.

在最终确定反馈回路之前，我们需要分析频率响应，以确认它符合nyquist stability criterion 奈奎斯特稳定性准则。

作文

The field of control systems engineering is vast and complex, encompassing various principles and theories that help engineers design stable and efficient systems. One of the cornerstone concepts within this field is the nyquist stability criterion, which plays a crucial role in determining the stability of feedback systems. Understanding this criterion is essential for engineers who wish to ensure that their systems respond predictably and effectively to changes in input. The nyquist stability criterion is based on the Nyquist plot, a graphical representation that helps analyze the frequency response of a system. By plotting the open-loop transfer function of a system on the complex plane, engineers can visualize how the system behaves at different frequencies. The main goal of applying the nyquist stability criterion is to assess whether the closed-loop system will remain stable when feedback is applied. To apply the nyquist stability criterion, one must first understand the concept of encirclements in the Nyquist plot. Specifically, the criterion states that the number of clockwise encirclements of the point (-1, 0) in the complex plane corresponds to the number of poles of the open-loop transfer function that are located in the right half of the s-plane. If there are no encirclements, it indicates that the closed-loop system is stable. Conversely, if there is one or more clockwise encirclements, the system may become unstable. This relationship highlights the importance of analyzing the Nyquist plot thoroughly to assess system stability accurately. Furthermore, the nyquist stability criterion provides valuable insights into how the gain and phase margins affect system stability. Gain margin refers to the amount by which the gain of the system can be increased before it becomes unstable, while phase margin indicates how much additional phase lag can be introduced before instability occurs. By examining these margins in conjunction with the Nyquist plot, engineers can make informed decisions about system design and modifications to enhance stability. One of the critical advantages of the nyquist stability criterion is its applicability to both linear and nonlinear systems. While many stability criteria are limited to linear systems, the Nyquist criterion can provide insights into the behavior of nonlinear systems as well. This versatility makes it an invaluable tool for engineers working in diverse fields, from aerospace to robotics. In conclusion, the nyquist stability criterion is an essential concept in control systems engineering that helps determine the stability of feedback systems. By utilizing the Nyquist plot and understanding the implications of encirclements and stability margins, engineers can design systems that respond effectively to inputs while maintaining stability. As technology continues to advance and systems become increasingly complex, mastering the nyquist stability criterion will be vital for engineers striving to create robust and reliable control systems.

控制系统工程领域广泛而复杂，涵盖了各种原理和理论，帮助工程师设计稳定和高效的系统。在这个领域中，一个基石概念是奈奎斯特稳定性准则，它在确定反馈系统的稳定性方面发挥着至关重要的作用。理解这一准则对于希望确保其系统对输入变化做出可预测和有效响应的工程师至关重要。奈奎斯特稳定性准则基于奈奎斯特图，这是一种图形表示，帮助分析系统的频率响应。通过在复平面上绘制系统的开环传递函数，工程师可以可视化系统在不同频率下的行为。应用奈奎斯特稳定性准则的主要目标是评估在应用反馈时闭环系统是否会保持稳定。要应用奈奎斯特稳定性准则，首先必须理解奈奎斯特图中的包围圈概念。具体而言，该准则指出，在复平面中，开环传递函数的极点位于s平面的右半部分与点(-1, 0)的顺时针包围圈的数量相对应。如果没有包围圈，则表明闭环系统是稳定的。相反，如果存在一个或多个顺时针包围圈，则系统可能变得不稳定。这一关系突显了全面分析奈奎斯特图以准确评估系统稳定性的重要性。此外，奈奎斯特稳定性准则提供了关于增益和相位裕度如何影响系统稳定性的宝贵见解。增益裕度是指在系统变得不稳定之前，系统增益可以增加的量，而相位裕度则表示在不稳定发生之前可以引入的额外相位滞后。通过结合奈奎斯特图检查这些裕度，工程师可以就系统设计和修改做出明智的决策，以增强稳定性。奈奎斯特稳定性准则的一个关键优势是它适用于线性和非线性系统。虽然许多稳定性准则仅限于线性系统，但奈奎斯特准则也能提供对非线性系统行为的见解。这种多功能性使其成为在航空航天到机器人等各个领域工作的工程师的宝贵工具。总之，奈奎斯特稳定性准则是控制系统工程中的一个基本概念，有助于确定反馈系统的稳定性。通过利用奈奎斯特图并理解包围圈和稳定性裕度的含义，工程师可以设计能够有效响应输入并保持稳定的系统。随着技术的不断进步和系统日益复杂，掌握奈奎斯特稳定性准则将对努力创建强大可靠的控制系统的工程师至关重要。