Application of μ-Interaction Measures for Decentralized Temperature Control of Packed-Bed Chemical Reactor
Application of μ-Interaction Measures for Decentralized Temperature Control of Packed-Bed Chemical Reactor
复制标题
μ交互措施在填充床化学反应器分散温度控制中的应用
DOI：
10.1252/jcej.33.120
复制
发表时间：
2000
影响因子：
0.8
通讯作者：
S. Matsumoto
中科院分区：
文献类型：
--
作者：
E. Elisante;Masatoshi Yoshida;S. Matsumoto
本研究的目标是双重的;适用于迄今为止主要用于集中参数系统（LPS）的分布参数系统（DPS）的鲁棒控制工具;和调查的鲁棒性分散分布式控制器下运行时，在一个完整的MIMO植物存在不可测的干扰。将反应热视为不可测扰动，采用正交配置法对填充床反应器的能量平衡模型进行离散化。由此产生的MIMO状态空间模型用于设计分散的温度控制器。以内模控制的整定规则为基础，将非对角项视为不确定项，仅利用MIMO模型的对角元素设计分散PI控制器。非对角相互作用被用来设计被称为“μ-相互作用措施”的界限，该界限被施加在标称闭环传递函数上。满足这些界限保证了所设计的分散控制器将产生鲁棒性超过整个MIMO植物。
The objectives of this study are two-fold; to apply robust control tools hitherto used mostly for lumped parameter systems (LPS) to distributed parameter systems (DPS); and to investigate robustness of decentralized distributed controllers when operated under a full MIMO plant in the presence of unmeasured disturbance. The energy balance model of the packed-bed reactor is discretized using orthogonal collocation with the heat of reaction regarded as unmeasured disturbance. The resulting MIMO state space model is used for designing a decentralized temperature controller. Employing the IMC tuning rules as baseline, a decentralized PI controller is designed using only the diagonal elements of MIMO model treating off-diagonal terms as uncertainty. The off-diagonal interactions are used to design bounds called “μ-interaction measures” which are imposed on nominal closed-loop transfer functions. Satisfaction of these bounds guarantees that the designed decentralized controller will yield robustness over the full MIMO plant.