Krstic手法とチェビシェフ多項式同定によるExtremum Seeking制御について  [in Japanese] ON EXTREMUM SEEKING CONTROL VIA KRSTIC APPROACH AND CHEBYSHEV POLYNOMIAL IDENTIFICATION  [in Japanese]

While the mainstream methods of adaptive control deal only with regulation to known set points or reference trajectories, in many applications the set point should be selected to achieve a maximum of an uncertain reference-to-output map. For this problem, Krstic et al. developed an extremum seeking control, which came up with a frequency domain conception for feedback scheme. In this paper we propose a modification of Krstic type extremum seeking control aimed at achieving the maximum operating point more rapidly than it. This modification method includes an additive term based on Chebyshev polynomial identification to the feedback scheme of Krstic type. The proposed approach is applied to a Monod model of a bioreactor. Simulation results show that this ables to reach a maximum operating point much swiftly.

While the mainstream methods of adaptive control deal only with regulation to known set points or reference trajectories, in many applications the set point should be selected to achieve a maximum of an uncertain reference-to-output map. For this problem, Krstic et al. developed an extremum seeking control, which came up with a frequency domain conception for feedback scheme. In this paper we propose a modification of Krstic type extremum seeking control aimed at achieving the maximum operating point more rapidly than it. This modification method includes an additive term based on Chebyshev polynomial identification to the feedback scheme of Krstic type. The proposed approach is applied to a Monod model of a bioreactor. Simulation results show that this ables to reach a maximum operating point much swiftly.