基于神经网络的变结构对象建模

A. Galkin, A. Sysoev, P. Saraev
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引用次数: 4

摘要

提出了用变结构统一表示技术对象和工艺过程的方法。这种方法是基于通过统一的重塑类来近似描述对象或过程的特定模型。该方法的应用对解决优化和控制问题很有帮助。神经网络模型具有较强的逼近能力,可作为一种建模类。以惯性变矩器工作流建模为例,说明了该方法的应用。该过程具有循环模式,其中循环的每个阶段分为四个部分,由具有相同参数的各种非线性微分方程系统描述。而且,描述下一段的系统的解依赖于前一段得到的系统的解。显然,这使得确定最佳的ITT参数变得困难,因为拟合函数具有描述周期最后,即第四段的方程组的解。神经网络模型允许简化每个循环段给定问题的解决方案。
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Variable structure objects remodelling based on neural networks
The paper proposes the approach for uniform presentation of technical objects and technological processes with a variable structure. This approach is based on the approximation of specific models describing the object or the process by a uniformed remodeling class. The application of this approach is useful while solving optimization and control problems. Neural network models, which proved their high approximating capability, are suggested as a remodelling class. Application of the given approach is considered by the example of inertial torque transformer (ITT) workflow modelling. This process has a cyclical pattern where each phase of the cycle is divided into four segments described by various systems of nonlinear differential equations with the same parameters. Moreover, the solution to the system describing the next segment depends on the solution to the system obtained by the previous segment. It noticeably makes it difficult to determine the optimum ITT parameters as the fit function has the solution to the system of equations describing the last, the fourth segment of the cycle. The neural network model allows simplifying the solution to the given problem for each cycle segment.
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