Model-Free Stabilization by Extremum Seeking

• Main Authors: Scheinker, Alexander (Author), Krstić, Miroslav (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: SpringerBriefs in Electrical and Computer Engineering,
• Subjects: Engineering.; Artificial intelligence.; System theory.; Calculus of variations.; Particle acceleration.; Control engineering.; Control.; Systems Theory, Control.; Calculus of Variations and Optimal Control; Optimization.; Particle Acceleration and Detection, Beam Physics.; Artificial Intelligence (incl. Robotics).

With this brief, the authors present algorithms for model-free stabilization of unstable dynamic systems. An extremum-seeking algorithm assigns the role of a cost function to the dynamic system’s control Lyapunov function (clf) aiming at its minimization. The minimization of the clf drives the clf t...

Table of Contents:

• Introduction
• Weak Limit Averaging for Studying the Dynamics of Extremum-Seeking-Stabilized Systems
• Minimization of Lyapunov Functions
• Control Affine Systems
• Non-C2 Extremum Seeking
• Bounded Extremum Seeking
• Extremum Seeking for Stabilization of Systems Not Affine in Control
• General Choice of Extremum-Seeking Dithers
• Application Study: Particle Accelerator Tuning.