A modified ESC for Hammerstein systems with unknown nonlinear function

Y. Xie, Ruili Dong, Yonghong Tan
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Abstract

In this paper, a modified extreme seeking controller is designed for a Hammerstein system with unknown nonlinear function. In this Hammerstein system, only the model of linear subsystem is available. Therefore, the system is half transparent. Based on the available linear submodel, a predictor is developed and the steady state of system can be forecasted by the predictor. Then, a modified extreme seeking control (MESC) strategy based on the prediction result is applied to the control of Hammerstein systems. In the MESC, the technique of finite difference is implemented for estimating the gradients for searching the extremum of the system. Finally, simulation results are presented to show the validation the proposed method.
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非线性函数未知的Hammerstein系统的修正ESC
针对具有未知非线性函数的Hammerstein系统,设计了一种改进的极值寻优控制器。在这个Hammerstein系统中,只有线性子系统模型是可用的。因此,该系统是半透明的。在已有线性子模型的基础上,建立了一个预测器,并利用该预测器对系统的稳态进行预测。然后,将基于预测结果的改进极值寻优控制(MESC)策略应用于Hammerstein系统的控制。在MESC中,采用有限差分技术估计梯度以求系统的极值。最后给出了仿真结果,验证了所提方法的有效性。
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