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A probability limit is then applied in order to predict a likely average minimum performance criterion.
By the probability limit theory, the uniform stability of the closed-loop system and the upper bound of the corresponding index values are obtained.
Normal distribution functions, which approximate the actual distribution of the worst-case variability, are used to estimate the largest variability expected for the process variables at a user-defined probability limit.
This paper investigates the application of stochastic nonlinear model predictive control (NMPC) to a thin film deposition process in the presence of model-plant mismatch while ensuring constraints at a specific probability limit.
A code that is only away from the outage probability limit has been presented.
The complete convergence has a relatively complete development in probability limit theory.
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First of all, the choice has to satisfy the limitations on the probability amplitude, yielding the corresponding probability limited above by unit (the sum of all the modules squared of the introduced amplitudes equals unit probability).
The formulation of single or joint probability limits incorporates the issue of feasibility and the contemplation of trade-off between robustness and profitability regarding the objective function values.
Next, we evaluated per annual time-step the probability distribution defined by the 2000 solutions (95% probability limits using the 2.5th and 97.5th percentiles, 90% limits with the 5th and 95th percentiles, and 68% limits using the 16th and 84th percentiles).
Furthermore, we can use these probability limits to compare the relative bias in the OLS and CE estimators.
The outage probability limits, pth, are set as 0.21 and 0.31, respectively.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com