Scheinker A., Krstic M. Model-Free Stabilization by Extremum Seeking

Springer International Publishing AG, 2017. — 129 p. — (SpringerBriefs in Electrical and Computer Engineering. Control, Automation and Robotics) — ISBN10: 3319507893Originating in 1922, in its 95-year history, extremum seeking has served as a tool for model-free real-time optimization of stable dynamic systems. We introduce a paradigm in which not only is the system being optimized allowed to be time varying and open-loop unstable, but also the very goal of extremum seeking is to stabilize the system. The cost function and the control Lyapunov function (CLF) play interchangeable roles, with the unknown optimal set point being implicitly defined through the cost/CLF and coinciding with the equilibrium to be stabilized.Weak Limit Averaging for Studying the Dynamics of Extremum Seeking-Stabilized Systems
Minimization of Lyapunov Functions
Control Affine Systems
Non-C2 ES
Bounded ES
Extremum Seeking for Stabilization of Systems Not Affine in Control
General Choice of ES Dithers
Application Study: Particle Accelerator Tuning
Conclusions