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中文摘要：
二条一般途径在也就是，在化学过程解决动态优化问题被采用分析、数字的方法。数字方法，基于启发式的算法，广泛地被使用了。联合微分进化(DE ) 算法和控制向量 parameterization (CVP ) 的一条途径在这篇论文被建议。在建议 CVP，控制变量在全部时间间隔基于州的变量和时间与多项式被接近。区域减小策略在 DE 被使用减少搜索区域的宽度，它改进计算效率。案例研究的结果表明建议方法的可行性和效率。
英文摘要：
Two general approaches are adopted in solving dynamic optimization problems in chemical processes, namely, the analytical and numerical methods. The numerical method, which is based on heuristic algorithms, has been widely used. An approach that combines differential evolution （DE） algorithm and control vector parameteri- zation （CVP） is proposed in this paper. In the proposed CVP, control variables are approximated with polynomials based on state variables and time in the entire time interval. Region reduction strategy is used in DE to reduce the width of the search region, which improves the computing efficiency. The results of the case studies demonstrate the feasibility and efficiency of the oroposed methods.
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