Construction of a unified approach from modeling to control-system design of nonlinear systems

构建从非线性系统建模到控制系统设计的统一方法

• 批准号: 12650452
• 负责人: WADA Teruyo
• 金额: $ 2.11万
• 依托单位: OSAKA PREFECTURE UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2000
• 资助国家: 日本
• 起止时间: 2000 至 2001
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12650452/
• 关键词: Nonlinear systems; Linear-model-sets identification method; modeling; System identification; Linear-model-sets

The final purpose of this research is to construct a unified approach from modeling and identification to control-system design of nonlinear systems with theoretical background, and the followings are the obtained results.1. Modeling of nonlinear systems : The feasibility of the modeling method was investigated, by which a nonlinear system is modeled as a set of linearized systems at plural operating points.2. Identification method: As an identification method based on the above modeling method, the linear-model-sets identification (LM-sets ID) method was proposed, which was the identification method for nonlinear plants under shifts of operating points. Applying this method to a nonlinear plant, we can identify the plant from input-output data as a collection of a finite number of linear-model-sets (LM-sets), each of which includes the exact linearized model of the plant at each operating point.3. Control-system design and analysis : Design method of gain scheduled control systems was derived for nonlinear plants based on the above LM-sets ID method. A theoretical analysis was achieved which ensures the convergence of the state of the scheduled control system.4. A numerical simulation was given to prove the effectiveness of the above methods.

本研究的最终目的是构建一种具有理论背景的非线性系统从建模、辨识到控制系统设计的统一方法，取得的成果如下： 1．非线性系统建模：研究了该建模方法的可行性，将非线性系统建模为一组在多个工作点的线性化系统。 2．辨识方法：作为基于上述建模方法的辨识方法，提出了线性模型集辨识（LM-sets ID）方法，该方法是工况点移动下的非线性对象的辨识方法。将此方法应用于非线性对象，我们可以根据输入输出数据将对象识别为有限数量的线性模型集（LM集）的集合，每个线性模型集都包含对象在每个工作点的精确线性化模型。 3．控制系统设计与分析：基于上述LM-sets ID方法导出了非线性对象的增益调度控制系统的设计方法。进行了理论分析，保证了调度控制系统的状态收敛。 4．通过数值模拟验证了上述方法的有效性。