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所在平台: Udemy |
课程主页: https://www.udemy.com/course/linear-control-systems/
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课程名称:线性控制系统 课程概述:本课程为初学者提供线性控制系统的全面介绍,特别关注其在工业系统中对线性过程的管理和控制应用。课程开始于控制系统的概述,介绍关键的定义和概念。内容涵盖微分方程的拉普拉斯变换及其属性。随后探讨控制系统中的传递函数概念,包括开环和闭环系统。课程继续研究线性系统的时域和频域响应,为了更好地理解线性控制的目标,详细讨论了稳定性和精度。最后,我们讨论了如何应用控制器以改善系统性能。到课程结束时,学生将对控制系统有广泛的了解,从物理建模和微分方程到传递函数。课程还提供了时间和频率分析方法的见解,并探讨了改善开环和闭环系统性能的技术,最终涉及控制器的综合设计。 课程重点内容包括: - 系统的定义 - 线性系统的定义 - 输入和输出信号的性质 - 指令系统的定义 - 调节与控制的区别 - 拉普拉斯变换 - 拉普拉斯变换属性 - 常见拉普拉斯变换 - 拉普拉斯变换实例 - 获取传递函数的步骤 - 一阶系统的特征方程 - 二阶系统的特征方程 - RC电路示例 - 机械系统示例 - 功能图的定义 - 有用的形式化 - 控制方案的整体视图 - 开环系统FTBO - 闭环系统FTBF - 示例块图简化 - 线性系统的动态性能 - 时间分析中常用的信号 - 一阶系统响应 - 二阶系统响应 - 谐响应 - 复数的表示(奈奎斯特、布莱克和波德) - 一阶系统的波德图 - 一阶系统的奈奎斯特图 - 一阶系统的布莱克图 - 二阶系统的波德和布莱克图 - 精度 - 稳定性 - Routh-Hurwitz代数准则 - 校正器的概述 - 极点配置校正器 - 相位前置校正器 - PID校正器 - PID参数调节校正器 通过本课程,学员将获得对线性控制系统的全面理解,并具备应用相关知识的能力。
This course offers a comprehensive introduction to linear control systems for beginners, focusing particularly on their application in industrial systems for managing and controlling linear processes. We start with an overview of control systems, introducing key definitions and concepts. The section covers the Laplace transformation of differential equations and their properties. We then explore the concept of transfer functions in control systems, including open and closed-loop systems. The course continues with an examination of the time-domain and frequency-domain responses of linear systems. To provide a solid understanding of the objectives of linear control, we cover stability and precision in detail. Finally, we conclude with a discussion of how controllers can be applied to improve system performance. By the end of the course, students will have a broad understanding of control systems, from physical modeling and differential equations to transfer functions. The course also offers insight into temporal and frequency analysis methods and explores techniques for enhancing the performance of systems in both open and closed loops, culminating in controller synthesis.The following list outlines the key topics covered in this course:- Definition of system- Definition of linear system- The nature of the input and output signals- Definition of command system- The difference between regulation and control- Laplace transformation- Laplace transformation properties- Famous Laplace transformation- Example of Laplace's transformation- Steps to get the transfer function- Characteristic equation of 1st order system- Characteristic equation of 2nd order system- Example of the RC circuit- Example of a mechanical system- Definition of the functional diagram- Useful formalism- A global view of the control scheme- The Open-loop system FTBO- The Closed-loop system FTBF- Example of block diagram simplification- Dynamics performance of the linear system- Typical signals used in temporal analysis- First-order system response- Second-order system response- Harmonic response- The representation of A complex number (Nyquist, Black, and Bode)- Bode diagram of the first-order system- Nyquist diagram of the first-order system- Black diagram of the first-order system- Bode and Black diagram of a second-order system- Precision- Stability- Algebraic criterion of Routh-Hurwitz- Overview of the corrector- Poles placement corrector- Phase advance corrector- The PID corrector- The PID parameters tuning corrector