A trust‐region approach is presented to address the simultaneous design and control of large‐scale systems under uncertainty. The key idea is to represent the system using power series expansions (PSEs) as piecewise models in an iterative manner while the validity of those expansions is certified in a trusted region. The mean of squared errors is used as a metric to quantify the accuracy of the PSE approximations. Identified search regions specify the boundaries of the decision variables for the PSE‐based optimization problems. The proposed algorithm shows a significant accomplishment in locating dynamically feasible and near‐optimal design and operating conditions. The proposed approach was tested in a wastewater treatment plant and the Tennessee Eastman process. The results indicate that the proposed methodology leads to more economically attractive and reliable designs while maintaining the dynamic operability of the system in the presence of disturbances and uncertainty.

中文翻译：

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设计和控制集成的信任区域框架

提出了一种信任区域方法来解决不确定性情况下大型系统的同时设计和控制。关键思想是使用幂级数扩展（PSE）以分段方式将系统表示为分段模型，同时在受信任的区域中验证这些扩展的有效性。平方误差的均值用作量化PSE逼近精度的度量。确定的搜索区域为基于PSE的优化问题指定了决策变量的边界。所提出的算法在找到动态可行且接近最佳的设计和操作条件方面显示出了重大成就。在废水处理厂和田纳西州伊士曼过程中对所提出的方法进行了测试。