For almost three decades, the back-off methodology has been extensively developed and refined for addressing the control structure selection problem. Previous work has been based on a linear and a non-linear formulation. The linear formulation ensures quick determination of the optimal solution but with a potentially significant loss of accuracy in complex non-linear processes. The non-linear formulation develops higher accuracy and offers the opportunity of simultaneous consideration of design and control. This improved accuracy usually comes with an increase in computational cost and complexity. A new methodology based on linear models and a quadratic approximation of economics is proposed which demonstrates improved accuracy when compared with the linear approximation and reasonable increase in computational effort than the non-linear counterpart. Three case studies are studied in detail to examine the advantages of the new formulation.

近三十年来，为解决控制结构选择问题，已经广泛开发和完善了退避方法。先前的工作基于线性和非线性公式。线性公式可确保快速确定最佳解决方案，但在复杂的非线性过程中可能会严重损失精度。非线性公式可以提高精度，并提供同时考虑设计和控制的机会。这种提高的准确性通常伴随着计算成本和复杂性的增加。提出了一种基于线性模型和经济学二次逼近的新方法，该方法与线性逼近相比具有更高的准确性，并且与非线性对应相比可合理地增加计算量。详细研究了三个案例研究，以检验新配方的优势。