Department of Electronics and Communication Engineering, Indian Institute of Technology Guwahati, Guwahati-781039, Assam, India.
ISA Trans. 2010 Oct;49(4):501-9. doi: 10.1016/j.isatra.2010.04.006. Epub 2010 May 15.
In this paper a non-iterative approach to identifying Wiener and Hammerstein models, including model structure and parameters, is proposed. A single symmetrical relay test is conducted to determine the structure and then the parameters of the block-oriented nonlinear model possessing a static nonlinearity and a linear process in cascade. The static nonlinearity block is represented by a memoryless and monotonic function and the linear process by a second order transfer function model. A relay with hysteresis induces the limit cycle output signal and one cycle data of the output signal is used to identify the block-oriented nonlinear model. The proposed identification method is simple and gives better performance than previous methods for processes with static nonlinearity.
本文提出了一种用于识别 Wiener 和 Hammerstein 模型（包括模型结构和参数）的非迭代方法。通过进行单次对称继电测试来确定具有静态非线性和级联线性过程的块状非线性模型的结构，然后确定其参数。静态非线性块由无记忆和单调函数表示，线性过程由二阶传递函数模型表示。具有滞后的继电器会产生极限环输出信号，并且使用输出信号的一个周期数据来识别块状非线性模型。与具有静态非线性的过程相比，所提出的识别方法简单，性能更好。
