基于现代控制理论的化学反应器最优化设计的一种考虑
A Consideration of Optimal Design Of A Chemical Reactor Based on Modern Control Theory
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摘要: 本文讨论了一种新颖的化学反应器最优化设计技术。根据现代控制理论中的可控性概念及最优哈密尔顿函数计算的结果,应用系统的可控制判断,可以不必模拟反应器内部的温度分布及浓度分布,便能预言该设计要求是否同时可被满足。最优哈密尔顿函数的计算,可把整个设计程序归结为两点边值问题,从而决定了最优控制向量。Abstract: A novel technique of optimal design of a chemical reactor was deve-loped based on modern control theory and optimal Hamiltonian function By examining the controllability of a given reaction system,it is po-ssible to predict whether or not the design requirements can be simultan-eously satisfied without knowing the temperature and concentration profiles inside the reactor.If control vector can be explicitly solved by optimal Hamiltonian function,the design algorithm Willl be converted to BVP.The only policy which optimizes the Hamiltonian function is that the control vector reaches its upper and/or lower bounds if Hamiltonian function is linear in control variables.