178. NONLINEAR UNKNOWN PARAMETER EXTREMUM SEEKING CONTROL

Department: Mechanical & Aerospace Engineering
Research Institute Affiliation: Center for Control Systems and Dynamics (CCSD)
Faculty Advisor(s): Miroslav Krstic
Award(s): Honorable Mention

Primary Student
Name: Alex Scheinker
Email: ascheink@ucsd.edu
Phone: 858-822-1936
Grad Year: 2013

Abstract
This poster presents some work on applying extremum seeking to nonlinear systems whose parameters are unknown and satisfy certain bounds. The results demonstrate a class of systems for which extremum-seeking controllers, unaware of the system's detailed dynamics, exist and are capable of driving the systems to an equilibrium or to track a given trajectory. Theoretically this work is applicable to any observable system which can tolerate a high frequency oscillatory control input. One such example is particle beam dynamics in the RF cavities of the low energy end of a particle accelerator. In this region the input E&M fields are already oscillating at extremely high frequencies and the dynamics of a high current space-charge dominated beam are complicated, nonlinear, and poorly modeled.

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