A Stochastic Approach for Integration of Design and Control under Uncertainty: A Back-off Approach Using Power Series Expansions

The aim of this study is to present a Power Series Expansion (PSE)-based back-off methodology to consider probabilistic-based descriptions for the disturbances and uncertain parameters for integration of design and control. The key idea is to represent the expected value and standard deviation of the cost and process constraints using PSE-based functions. Thus, the present back-off approach identifies process designs that are dynamically operable at specific probability (confidence) levels defined a priori. Monte Carlo sampling is employed to design the PSE-based functions. A waste water treatment plant is used to test the performance of the proposed back-off approach.