A novel fast extremum seeking scheme without steady-state oscillation

To enhance the dynamic and static performance of the extremum seeking scheme (ESS), a novel fast ESS without the steady-state oscillation is proposed by adjusting the structure of the classic ESS to make the sinusoidal excitation signal amplitude proportional to the absolute value of the extremum estimation error. The improved ESS can speed up the convergence to shorten the seeking time dramatically, and enlarge the search area to avoid falling to the local extremum effectively. It can also reduce the sinusoidal excitation signal amplitude to eliminate the adverse effects of the steady-state oscillation eventually. The stability analysis and proof of the improved ESS are provided in detail, and the enormous simulation results, compared with the other ESS, are presented to illustrate its effectiveness and superiority.