摘要
德拜媒质微波加热过程中,由于介电常数具有随温度变化的特性,导致电磁场的空间分布将会产生巨大的变化.若缺乏合理的功率调控策略,将导致燃烧、爆炸等一系列热失控现象.针对上述问题,本文提出一种滚动时域H_∞保性能温度跟踪控制策略,以实现对监测位置的最高温度进行控制.基于微波加热德拜媒质的机理模型,同时考虑跟踪系统稳定性、动态性能和输入约束,以H_∞增益和保性能函数作为性能指标,本文将温度跟踪问题转化为线性矩阵不等式(Linear matrix inequality,LMI)多目标优化问题,使得系统动态性能达到最优.最后以德拜媒质微波加热短波导模型为例,对所提出方法的有效性进行仿真验证.
For the microwave heating Debye media process, the spatial distribution of electromagnetic field may be changed greatly with the temperature-dependent permittivity. Without any reasonable power regulation strategy, the phenomenon of thermal runaway, such as burning and explosion, may occur. Therefore, this paper proposes a receding horizon H∞ guaranteed cost control strategy. Specifically, the proposed controller has an explicit expression and involves the stability of system, dynamic performance and constrained input. Thereby, the temperature tracking problem can be cast into the linear matrix inequality （LMI） multi-objective optimization problem. The closed-loop control system can not only constrain the intensity of incident electric field, but also satisfy the H∞ norm and guaranteed cost function. The proposed control strategy is implemented on a one-dimensional waveguide heating model and its effectiveness can be evaluated through the simulation.
作者
钟佳岐
梁山
熊庆宇
ZHONG Jia-Qi;LIANG Shan;XIONG Qing-Yu(Key Laboratory of Dependable Service Computing in Cyber Physical Society,Ministry of Education,Chongqing University,Chongqing 400044;College of Automation,Chongqing University,Chongqing 400044;College of Au-tomation,Chongqing University of Posts and Telecommunications,Chongqing 400065;College of Software Engineering,Chongqing University,Chongqing 401331)
出处
《自动化学报》
EI
CSCD
北大核心
2018年第8期1518-1527,共10页
Acta Automatica Sinica
基金
国家重点基础研究发展计划(973计划)(2013CB328903)
国家自然科学基金(61771077)资助~~
关键词
微波加热
德拜媒质
输入受限
H∞保性能
温度跟踪
Microwave heating
Debye media
constrained input
H∞ guaranteed cost
temperature tracking
