Intro to Control 52 System Linearization

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http://youtube.com/watch?v=e8Hd14q5o1I

In this video, we will discuss Nonlinear Systems and Linearization, which is an important topic towards first step in modeling of physical systems. Most physical systems are nonlinear and in order to get a first-order understanding of the behavior of a physical system, an approximation is required to 'convert' a nonlinear to a linear system. Of course, this conversion from nonlinear to a linear system does have its limitations. • Considering these limitations carefully and exception a specific operating region in the complete nonlinear region could make the analysis of the actual nonlinear system much easier. This is one of the reasons to change a nonlinear system to a linear system which is only valid in specific operating range. • The outline of this video is shown below: • 00:00:00 Introduction • 00:00:29 Outline • 🌟PART 1: THEORY • 00:01:20 1. Nonlinear Systems • 00:05:13 2. Nonlinearities • 00:10:50 3. Linearization • 00:14:13 3. Linearization Examples • 00:22:32 4. Mathematical Model • 🌟PART 2: EXAMPLES • 00:26:43 Example 1: Linearizing a Function with One Variable • 00:29:48 Example 2: Linearizing a Function with Two Variables • 00:33:50 Example 3: Linearizing a Differential Equation • 00:38:18 Example 4: Nonlinear Electrical Circuit • 00:50:22 Example 5: Nonlinear Mechanical System • 👉 More dynamic system modeling and parameter estimation: • System Identification Dynamic Systems • ⭐ If you have questions or comments, please let me know. Help us to reach more people. Like and share this video. Subscribe to our channel: https://www.youtube.com/canbijles/?su... • ⚡ CAN Education - Tutoring in Electrical Engineering, Analog Electronics, Power Electronics, Electric Circuits, Control Systems, and Math Courses • ⭐ For questions, collaboration or consulting 👇 • 📧 [email protected] • ☎️ +31616179479 • 🌐 www.canbijles.nl • #nonlinear #linear #linearization #systems #transferfunction #operatingpoint #taylorseries #approximations #physicalsystem #mechanical #electrical #circuit #diode #spring #damper #kirchhoffslaw #newton

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