论文标题
降低稳态振荡的极端寻求控制
Extremum Seeking Control with Attenuated Steady-State Oscillations
论文作者
论文摘要
我们提出了两个基于扰动的极值寻求控制（ESC）方案，用于一般单个输入单输出非线性动力学系统，其结构与经典ESC方案相似。我们提出了在每个方案中的激发信号振幅的新型适应定律，以使振幅降至零。这两种定律的衰减率均由未知参考均衡图的梯度度量控制。我们表明，提出的ESC方案通过对拟议方案中的参数进行适当调整，实现了对极值的实用渐近收敛。随着到达极端，并且梯度度量的幅度很小，激发信号幅度会趋于零。因此，提出的方案确保随着系统输出收敛到极值附近的邻居，并且对极值的稳态振荡受到衰减，通常对经典ESC方案观察到了激发信号。包括模拟示例以说明所提出的方案的有效性。
We propose two perturbation-based extremum seeking control (ESC) schemes for general single input single output nonlinear dynamical systems, having structures similar to that of the classical ESC scheme. We propose novel adaptation laws for the excitation signal amplitudes in each scheme that drive the amplitudes to zero. The rates of decay for both the laws are governed by the gradient measures of the unknown reference-to-output equilibrium map. We show that the proposed ESC schemes achieve practical asymptotic convergence to the extremum with a proper tuning of the parameters in the proposed schemes. As the extremum is reached, and the magnitudes of the gradient measures become small, the excitation signal amplitudes converge to zero. Thus, the proposed schemes ensure that the excitation signal is attenuated as the system output converges to a neighborhood of the extremum and the steady-state oscillations about the extremum, typically observed for the classical ESC schemes, are attenuated. Simulation examples are included to illustrate the effectiveness of the proposed schemes.
