使用离散Urysohn算子建模非线性控制系统
Modelling non-linear control systems using the discrete Urysohn operator
AI总结：
本文提出了一种多输入离散Urysohn算子用于建模非线性控制系统，并通过处理观测到的输入输出信号来识别该算子。由于离散Urysohn算子的性质，识别问题总是有无穷多个解，恰好将输入转换为输出。然而，所提出的迭代识别过程却导致具有最小范数的唯一解，仅需少量参数值的算术运算，并适用于实时识别，可以在数据读取的同时运行。通过非线性机械系统和复杂现实动态对象的例子，展示了所提出建模和识别方法的效率。
摘要：
本文介绍了一种多输入离散Urysohn算子用于建模非线性控制系统以及通过处理观测到的输入和输出信号来识别该算子的技术。证明了由于离散Urysohn算子的性质，识别问题总是有无穷多解，这些解恰好将输入转换为输出。然而，所提出的迭代识别过程却导致具有最小范数的唯一解，仅需少量参数值的算术运算，并适用于实时识别，可以在数据读取的同时运行。通过非线性机械系统（用微分方程表示）和复杂现实动态对象的例子，展示了所提出建模和识别方法的效率。
英文摘要：
This paper introduces a multiple-input discrete Urysohn operator for modelling non-linear control systems and a technique of its identification by processing the observed input and output signals. It is shown that, due to the nature of the discrete Urysohn operator, the identification problem always has an infinity of solutions, which exactly convert the inputs to the output. The suggested iterative identification procedure, however, leads to a unique solution with the minimum norm, requires only few arithmetic operations with the parameter values and is applicable to a real-time identification, running concurrently with the data reading. The efficiency of the proposed modelling and identification approaches is demonstrated using an example of a non-linear mechanical system, which is represented by a differential equation, and an example of a complex real-world dynamic object.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
