Analysis of multivariable controllers using degree of freedom data

Abstract

Convergence and synthesis issues in an extremum seeking control scheme are addressed. The goal of an extremum seeking controller is to operate at a setpoint that represents the optimal value of a function being optimized in the feedback loop. The results presented here are based solely on assumptions on the curvature of the function being optimized in the loop. We present a class of generalized PI compensators and a set of strictly proper and stable compensators.