Nonlinear adaptive extremum seeking control for time delayed index in the presence of deterministic disturbance

Dynamic response of a system varies widely depending on environmental condition or operating condition. A performance function respect to efficiency of system, gain or cost, will be kept extremum value by extremum seeking control even if environmental condition varies. Adaptive extremum seeking control that the system includes unknown parameters, have ever been investigated, however, it is difficult to apply to the index with time delay and disturbance because of its stability. In this paper, by introducing a method of sliding mode control, we will present a method of nonlinear adaptive extremum control with time delay and disturbance. The result checking the availability of our method based on computer simulation.