Why go through the trouble of linearizing a model? To paraphrase Richard Feynman, it’s because we know how to solve linear systems. With a linear model we can more easily design a controller, assess stability, and understand the system dynamics.
This video introduces the concept of linearization and covers some of the topics that will help you understand how linearization is used and why it’s helpful.
This video also describes operating points and the process of trimming your system to make an operating point an equilibrium. To end, we walk through an example of Jacobian linearization by looking at the first order partial derivatives of a system.
Check out our video to get a more practical understanding of how linearization is accomplished in Simulink: https://youtu.be/K1oMF4684OQ
Related resources:
- Learn about linearization for model analysis and control design: https://bit.ly/2E76uJe
- Watch more controls Systems Tech Talks: https://bit.ly/2rTc8Yp
- Trimming and Linearizing Simulink Models Documentations: https://bit.ly/3OSQgGp
- Linearize Nonlinear Models Documentation: https://bit.ly/2DXWy4G
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