Nonlinear Control: Lyapunov-Based Methods

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SUMMARY

This discussion focuses on nonlinear control methods based on Lyapunov theory, specifically highlighting the Control Lyapunov Function (CLF) and Backstepping methods for determining the "region of attraction." Participants recommend the book "Applied Nonlinear Control" by Slotine and Li as an essential resource for control engineers, particularly for those new to the field. The book is noted for its accessibility and practical introduction to nonlinear control concepts.

PREREQUISITES
  • Understanding of Lyapunov stability theory
  • Familiarity with Control Lyapunov Functions (CLF)
  • Knowledge of Backstepping control techniques
  • Basic principles of nonlinear control systems
NEXT STEPS
  • Research advanced Lyapunov-based control techniques
  • Study the Control Lyapunov Function (CLF) in detail
  • Explore Backstepping control methods and their applications
  • Read "Applied Nonlinear Control" by Slotine and Li for foundational knowledge
USEFUL FOR

Control engineers, researchers in nonlinear control systems, and students seeking to deepen their understanding of Lyapunov-based methods in control theory.

mby110
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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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