步进炉控温系统传感器容错控制研究

摘要

Due to different fault states of the temperature sensors may appear in large scale stepping furnaces of metallurgical field;the multi▬modal fault model is introduced. Considering time delay and uncertainty exist in the system, based on Lyapunov stability theorem and linear matrix inequality ( LMI) method, the robust stability is analyzed and the fault tolerant controller is designed, thus the sufficient conditions to guarantee stability of the system under any sensor fault are derived. In accordance with the system model obtained by recognition, and with help of the LMI toolbox of Matlab, simulation research is conducted. The results indicate that the approach obtained can ensure the robust integrity and verify the effectiveness. The study provides useful guiding significance to optimal control for practical production processes.%针对冶金领域大型步进炉内部测温传感器可能出现的不同故障状态，引入多模态故障模型；考虑系统存在的时滞及不确定性因素，基于李雅普诺夫稳定性定理及LMI方法，进行鲁棒稳定性分析及容错控制器设计，得到在任意传感器故障情况下保证系统稳定的充分条件。最后根据辨识得到的系统模型，借助Matlab的LMI工具箱进行仿真研究，结果表明所得定理能够保证系统具有鲁棒完整性，验证了所得定理的有效性。该研究为实际生产过程的优化控制提供了有力的指导依据。