On non-local stability properties of extremum seeking control
Automatica (Journal of IFAC)
Brief Stability of extremum seeking feedback for general nonlinear dynamic systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Hi-index | 22.15 |
Extremum-seeking control is a powerful adaptive technique to optimize system performance. To this date, extremum-seeking control has mainly been used to optimize plants with constant steady-state outputs, whereas the non-equilibrium case, in which the steady-state outputs are time varying, has received relatively little attention compared to the equilibrium case. In this paper, we propose an extremum-seeking scheme for the optimization of nonlinear plants with periodic steady-state outputs. Extremum-seeking control in this non-equilibrium setting is relevant in, for example, the scope of tracking and disturbance rejection problems. Using the concept of semi-global practical asymptotic stability, we show that under certain assumptions the proposed extremum-seeking controller design guarantees that for an arbitrarily large set of initial conditions the steady-state performance of the plant converges arbitrarily close to its optimal value.