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Two-Cascade Extremum Seeking Systems for Nonlinear Non-Stationary Plants

机译:非线性非平稳植物的两级极值搜索系统

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The controller synthesis problem for an automatic extremum-seeking system in the case of SISO plants is considered. The plant model can be represented as a serial connection of a nonlinear dynamic component and a static quality function with a certain minimum or maximum value. It is proposed for the individual plant components to organize two separate cascades with the different processes rates in the system. The controller synthesis procedures for each loop are presented. At the first stage, it is suggested to stabilize the processes in the inner contour by means of a controller based on the localization method or to organize a sliding mode in it. Such controllers allow to suppress the perturbations and nonlinear characteristics of the plant dynamic part, as well as to provide the required properties to the inner cascade. In order to the extremum seeking in the outer control loop, it is recommended to use a typical I-controller. The extremum seeking process is corresponded to the first-order linear differential equation. The main differences between the two extremum systems types are shown, depending on the inner loop controller type. The presented numerical simulation results of the two systems types in MatLab illustrate their basic properties.
机译:考虑到在SISO工厂中自动寻极系统的控制器综合问题。工厂模型可以表示为非线性动态分量和具有一定最小值或最大值的静态质量函数的串联连接。建议各个工厂组件以系统中不同的处理速率组织两个单独的级联。给出了每个循环的控制器综合程序。在第一阶段,建议通过基于定位方法的控制器在内部轮廓中稳定过程,或在其中组织滑动模式。这种控制器可以抑制设备动态部件的扰动和非线性特性,并为内部级联提供所需的特性。为了在外部控制回路中找到极值,建议使用典型的I控制器。极值寻找过程对应于一阶线性微分方程。显示了两种极端系统类型之间的主要区别,具体取决于内部回路控制器的类型。 MatLab中两种系统类型的数值仿真结果说明了它们的基本特性。

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