T-S模糊模型建模方法研究

基金项目: 国家自然科学基金资助项目（60404011，60372085）

详细信息

An Approach for Building Takagi-Sugeno Fuzzy Models

School of Automation, Northwestern Polytechnical University, Xi'an 710072, China

摘要: 在总结非线性建模经验的基础上，给出了一种建立精确且运行速度快的T-S模型的方法．首先，为了提高运行速度，用聚类的方法减少模糊规则的数目，并确定每个规则中数据的数目．然后，通过回归最小二乘法初步确定T-S模型规则中的状态矩阵的参数．最后，通过梯度下降方法，精确确定T-S模糊模型的所有参数．仿真实例证明了此方法的有效性．
- 梯度下降法 /
- 建模 /
- 非线性系统 /
- T-S模糊模型
Abstract: An approach for building accurate and fast running T-S models is proposed based on summarization of the experience of nonlinear modeling.Firstly,the number of fuzzy rules is reduced with clustering algorithm in order to improve the running speed of the model,and the number of data in each rule is determined.Then,the parameters of the state matrixes in the rules of T-S model are determined initially with regressive least squares algorithm.Finally,all of the parameters of the T-S model are determined accurately with gradient descent algorithm.The simulation with a real example shows the effectiveness of the approach.
- gradient descent algorithm /
- modeling /
- nonlinear system /
- T-S fuzzy model

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