International Journal of Control, vol.76, no.9-10, pp.968-985, 2003 (SCI-Expanded)
The stability and performance improvement of extremum seeking control system with sliding mode is discussed. It is proved that the system will converge to a sliding mode in a finite time, enter a δ-vicinity of the extremum point, and switch among sliding modes or stay inside the δ *-vicinity with oscillation. The control accuracy and convergence speed are determined by choosing parameters ρ, k and α of the controller.