论文部分内容阅读
步进炉是冶金领域广泛使用的多区段大型热处理设备,炉温在系统运行过程中存在时滞及不确定性,本文基于李雅普诺夫稳定性定理及LMI方法,针对炉温进行鲁棒稳定性分析及容错控制器设计。考虑实际系统中存在的测温传感器各种故障情况,引入多模态故障模型,实现了变增益控制器设计,得到了系统渐进稳定的充分条件。最后根据系统温度模型,借助Matlab的LMI工具箱进行仿真及验证,仿真结果表明所得定理能够保证系统具有鲁棒完整性。
Stepping furnace is widely used in the metallurgical field of large-scale multi-section heat treatment equipment, the furnace temperature in the system during the existence of delay and uncertainty, this article based on Lyapunov stability theorem and LMI method, the temperature for robust stability Sex Analysis and Fault Tolerant Controller Design. Considering various fault conditions of the temperature sensor existing in the actual system, a multi-modal fault model is introduced to realize the variable gain controller design and the sufficient and sufficient conditions for the system to be asymptotically stable are obtained. Finally, according to the temperature model of the system, the simulation and verification are carried out by using the LMI toolbox of Matlab. The simulation results show that the obtained theorem can guarantee the robust integrity of the system.