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
See the playlist on dynamic system modeling and parameter estimation for more related videos: • Dynamic Systems (Elect...
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