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Stochastic optimization for optimal and model-predictive control

AuthorsBanga, Julio R. ; Irizarry-Rivera, R.; Seider, W. D.
Issue Date1998
CitationComputers and Chemical Engineering 22(4-5): 603-612 (1998)
AbstractThe integrated-controlled-random-search for dynamic systems (ICRS/DS) method is improved to include a moving-grid strategy and is applied to more challenging problems including: (1) the optimal control of a fed-batch bioreactor, a plug-flow reactor exhibiting a singular arc, the van der Pol oscillator; and (2) the model-predictive control (MPC) of the Czochralski (CZ) crystallization process. This technique has several advantages over the gradient-based optimization methods with respect to convergence to the global optimum and the handling of singular arcs and non-differentiable expressions. Furthermore, its implementation is very simple and avoids tedious transformations that may be required by other methods. In MPC, a nonlinear program is solved to adjust the manipulated variables so as to minimize a control objective. The major difficulty in MPC implementation is in the handling of the dynamic constraints. The ICRS/DS method is applied for the control of the CZ crystallization process and is shown to be an attractive alternative to: (1) sequential integration and optimization, (2) the use of finite element/orthogonal collocation to convert the ODEs to algebraic constraints, and (3) successive linearization of the ODEs.
Description10 páginas, 9 figuras, 1 tabla
Publisher version (URL)http://dx.doi.org/10.1016/S0098-1354(97)00226-3
Appears in Collections:(IIM) Artículos
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