On the search speed for the Extremum Seeking Control 2D-schemes. Part II - performances estimation

In this paper a performances analysis of the Extremum Seeking Control (ESC) scheme applied to the dual-inputs single-output (DISO) systems is presented. These ESC 2D-schemes contain two ESC 1D-schemes that have a common input: the output of the DISO system. The performance of the basic high-order ESC (bhoESC) and band-pass filter ESC (bpfESC) 2Dschemes will be analyzed here based on the two orthogonal dither signals. The ratio of the search speeds for these 2D-schemes is estimated analytically during the search speed based on the partial derivatives of the unknown DISO map. The relation of the search speeds ratio related to these partial derivatives and control parameters of the ESC 2D-scheme is shown. The proposed bpfESC 2D-scheme has higher search speed than the bhofESC 2D-scheme, and this is clearly highlighted in this paper based on the simulation performed.