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title	authors	date	doi	publication_types	publication	publication_short	abstract	tags	featured	url_pdf	url_code	url_dataset	url_poster	url_project	url_slides	url_source	url_video	image	projects	slides
Control Synthesis for Partial Differential Equations from Spatio-Temporal Specifications	admin Harold Park Calin Belta	2018-12-01	https://doi.org/10.1109/CDC.2018.8619313	1	In 2018 IEEE Conference on Decision and Control	In CDC 2018	In this paper, we introduce a new boundary control synthesis problem with temporal logic specifications for a wide range of linear partial differential equations. We leverage the finite element method (FEM) to reduce the problem to a control problem for discrete-time linear systems. The specifications are formalized using an extension of signal temporal logic (STL), called Spatial-STL (S-STL). A conservative procedure to reformulate the specification into a regular STL formula as part of the FEM reduction is presented. A mixed-integer linear encoding is then used to synthesize the control inputs from a given allowed set. We illustrate the algorithm by applying it to a heat propagation problem.		true									caption focal_point preview_only false	formal-pde