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Flatness-based feedforward control for parabolic distributed parameter systems with distributed control

机译:具有分布控制的抛物线分布参数系统的基于平面度的前馈控制

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This paper deals with distributed parameter systems being described by inhomogeneous parabolic partial differential equations in one space dimension with a distributed control. The distributed control is presented by the right part of an equation, i.e. the source function. The source function can depend on the time as well as spatial variable. The approach for design of a feedforward control for the purpose of exact output tracking is presented. The design of the feedforward control is based on the examination of inverse system dynamics. The proposed technique utilizes the method of the variables separation and the representation of a solution by the power series in the time domain. Some examples and numerical simulations are included and demonstrate the efficiency of the proposed approach for developing the feedforward control.
机译:本文涉及由分布控制在一个空间维度上由非均匀抛物型偏微分方程描述的分布参数系统。分布式控制由等式的右侧部分,即源函数表示。源函数可以取决于时间以及空间变量。提出了一种用于精确输出跟踪的前馈控制设计方法。前馈控制的设计基于对逆系统动力学的检查。所提出的技术利用了变量分离的方法和时域中的幂级数表示解。其中包括一些示例和数值模拟,并证明了所提出方法用于开发前馈控制的效率。

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