Receding horizon control for spatiotemporal dynamic systems

Receding horizon control is a type of optimal feedback control in which control performance over a finite future is optimized with a performance index that has a moving initial time and terminal time. Spatiotemporal dynamic systems characterized by both spatial and temporal variables often occur in...

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Bibliographic Details
Main Authors: Tomoaki HASHIMOTO, Ryuta SATOH, Toshiyuki OHTSUKA
Format: article
Language:EN
Published: The Japan Society of Mechanical Engineers 2016
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Online Access:https://doaj.org/article/df28a1b433e74f2ea2b12fac71a9d97d
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Summary:Receding horizon control is a type of optimal feedback control in which control performance over a finite future is optimized with a performance index that has a moving initial time and terminal time. Spatiotemporal dynamic systems characterized by both spatial and temporal variables often occur in many research fields. In this study, we develop a novel design method of receding horizon control for a generalized class of spatiotemporal dynamic systems. Using the variational principle, we first derive the exact stationary conditions that must be satisfied for a performance index to be optimized. Next, we provide a numerical algorithm to solve the stationary conditions via a finite-dimensional approximation. Finally, the effectiveness of the proposed method is verified by numerical simulations.