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Time optimal cyclic crystallization |
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| Affiliation: | 1. Institute of Energy and Process Systems Engineering, Braunschweig University of Technology, Franz-Liszt-Straße 35, 38106 Braunschweig, Germany;2. Center of Pharmaceutical Engineering (PVZ), Braunschweig University of Technology, Franz-Liszt-Straße 35a, 38106 Braunschweig, Germany;3. International Max Planck Research School (IMPRS) for Advanced Methods in Process and Systems Engineering, Sandtorstraße 1, 39106 Magdeburg, Germany;1. Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Mohrenstr. 39, Berlin 10117, Germany;2. Freie Universität Berlin, Department of Mathematics and Computer Science, Arnimallee 6, Berlin 14195, Germany |
| Abstract: | A time optimal cyclic control scheme for shape manipulation of multivariate crystal populations involving sequences of subsequent growth and dissolution phases is proposed in this note. Such strategies employ the unequal growth and dissolution rates for attaining morphologies that do not result directly from a pure growth or dissolution phase only. We prove that minimum time trajectories can be constructed by means of convex programs resulting in globally optimal bimodal control policies with piecewise constant supersaturation. |
| Keywords: | Crystal shape manipulation Optimal control Convex optimization Multivariate crystallization |
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