Extremum seeking control with attenuated steady-state oscillations

We propose two perturbation-based extremum seeking control (ESC) schemes for general single input output nonlinear dynamical systems, having structures similar to that of the classical ESC scheme. novel adaptation laws excitation signal amplitudes in each scheme drive zero. The rates decay both are governed by gradient measures unknown reference-to-output equilibrium map show proposed achieve practical asymptotic convergence with a proper tuning parameters schemes. As is reached, and magnitudes become small, converge Thus, ensure driven zero as system converges neighborhood steady-state oscillations about extremum, typically observed schemes, attenuated. Simulation examples included illustrate effectiveness