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Rational Transfer Function Approximation Model for 2x2 Hyperbolic Systems with Collocated Boundary Inputs

机译:合成边界输入2x2双曲线系统的合理传递函数近似模型

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Rational transfer function approximation model for distributed parameter systems described by two weakly coupled linear hyperbolic PDEs with the boundary conditions representing two collocated external inputs to the system is considered. Using the method of lines with the backward difference scheme, the original PDEs are transformed into a set of ODEs and expressed in the form of a cascade interconnection of N subsystems, each described by 2 x 2 rational transfer function matrix. The considerations are illustrated with a parallel-flow double-pipe heat exchanger. The frequency and impulse responses obtained from its original irrational transfer functions are compared with those calculated from its rational approximations of different orders.
机译:考虑了两个弱耦合的线性双曲线PDE描述的分布式参数系统的合理转移函数近似模型。 使用具有向后差方案的线路的方法,原始PDE被转换为一组ODE,并以N个子系统的级联互连的形式表示,每个帧互连由2×2合理传输函数矩阵描述。 通过平行流动双管热交换器示出了考虑因素。 将从其原始非理性传递函数获得的频率和脉冲响应与由不同订单的理性近似计算的频率和脉冲响应进行比较。

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