Nonlinear Control: Lyapunov-Based Methods

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The discussion focuses on seeking nonlinear control methods based on Lyapunov theory, specifically those that can explicitly define the "region of attraction," such as Control Lyapunov Functions (CLF) and Backstepping methods. Participants recommend resources for understanding nonlinear control, highlighting Vidyasagar's work as essential for control engineers. Additionally, the book "Applied Nonlinear Control" by Slotine and Li is suggested as a beginner-friendly introduction to the concepts without heavy mathematics. The conversation emphasizes the importance of foundational knowledge in nonlinear control theory for effective application. Overall, the thread serves as a resource-sharing platform for those interested in advancing their understanding of nonlinear control methods.
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Hi all

I am looking for different nonlinear control methods based on lyapunov theory.
Indeed I should use a method which give the "region of attraction" explicitly such as CLF and Bakhstepping methods.

Can enyone help me and introduce me some otehr methods?

Many thanks in advance.
 
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I don't know much about nonlinear control theory, but I have heard that the book by Vidyasagar (same person who wrote the Robotics book) is a must read for all control engineers for non linear control.
 
Read : Slotine J.J.E., Li, W., "Applied nonlinear control", Englewood Cliffs, NJ: Prentice-Hall, 1991.

it is a good book for starters. Not too mathematical. It will introduce you to the concepts of nonlinear controls.
 

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