Machine learningNonlinear Control
Feedback Linearization
Feedback Linearization is a nonlinear control technique that uses a nonlinear state-feedback transformation to convert a nonlinear system into a linear one, enabling the use of standard linear control methods. Developed by Isidori, Sontag, and others in the 1980s, feedback linearization is conceptually elegant and powerful: if the system satisfies certain structural conditions (relative degree, decoupling matrix rank), the nonlinearities can be exactly cancelled through feedback, reducing the problem to linear design.
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Sources
- Isidori, A. (1995). Nonlinear Control Systems (3rd ed.). Springer-Verlag. DOI: 10.1007/978-1-84628-615-5 ↗
- Sontag, E. D. (1983). A concept of input-output linearization. Proceedings of the 22nd IEEE Conference on Decision and Control. DOI: 10.1109/CDC.1983.269853 ↗
- Nijmeijer, H., & Van der Schaft, A. J. (1990). Nonlinear Dynamical Control Systems. Springer-Verlag. DOI: 10.1007/978-1-4757-2101-0 ↗