Abstract
This paper discusses a strategy for estimating Hammerstein nonlinear systems in the presence of measurement noises for industrial control by applying filtering and recursive approaches. The proposed Hammerstein nonlinear systems are made up of a neural fuzzy network (NFN) and a linear state`-space model. The estimation of parameters for Hammerstein systems can be achieved by employing hybrid signals, which consist of step signals and random signals. First, based on the characteristic that step signals do not excite static nonlinear systems, that is, the intermediate variable of the Hammerstein system is a step signal with different amplitudes from the input, the unknown intermediate variables can be replaced by inputs, solving the problem of unmeasurable intermediate variable information. In the presence of step signals, the parameters of the state-space model are estimated using the recursive extended least squares (RELS) algorithm. Moreover, to effectively deal with the interference of measurement noises, a data filtering technique is introduced, and the filtering-based RELS is formulated for estimating the NFN by employing random signals. Finally, according to the structure of the Hammerstein system, the control system is designed by eliminating the nonlinear block so that the generated system is approximately equivalent to a linear system, and it can then be easily controlled by applying a linear controller. The effectiveness and feasibility of the developed identification and control strategy are demonstrated using two industrial simulation cases.
摘要
本文提出一种基于滤波和递推的含测量噪声的Hammerstein系统参数估计与工业控制方法. Hammerstein非线性系统由神经模糊模型和线性状态空间模型组成, 并利用由阶跃信号和随机信号组成的混合信号估计Hammerstein系统参数. 首先, 利用阶跃信号不激发静态非线性系统的特性, 即Hammerstein系统的中间变量与输入具有不同幅值的阶跃信号, 从而未知的中间变量可以利用输入替代, 解决了中间变量信息不可测量问题. 因此, 基于设计的阶跃信号, 利用递推增广最小二乘(RELS)算法估计状态空间模型参数. 其次, 为了有效处理测量噪声的干扰, 引入数据滤波技术, 并利用滤波RELS算法和聚类算法估计神经模糊模型参数. 最后, 利用Hammerstein系统的特殊结构, 将非线性系统控制简化为线性系统控制, 从而利用线性控制器进行控制. 通过两个工业仿真案例验证了所提方法和控制策略的有效性和可行性.
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Mingguang ZHANG and Feng LI designed the research and drafted the paper. Mingguang ZHANG, Feng LI, Yang YU, and Qingfeng CAO revised and finalized the paper.
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Mingguang ZHANG, Feng LI, Yang YU, and Qingfeng CAO declare that they have no conflict of interest.
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Project supported by the National Natural Science Foundation of China (No. 62003151), the Changzhou Science and Technology Bureau, China (No. CJ20220065), the Qinglan Project of Jiangsu Province, China (No. 2022[29]), and the Zhongwu Youth Innovative Talents Support Program of Jiangsu University of Technology, China (No. 202102003)
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Zhang, M., Li, F., Yu, Y. et al. Estimation of Hammerstein nonlinear systems with noises using filtering and recursive approaches for industrial control. Front Inform Technol Electron Eng 25, 260–271 (2024). https://doi.org/10.1631/FITEE.2300620
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DOI: https://doi.org/10.1631/FITEE.2300620