A first step towards mathematical control in soft robotics
- Francisco Periago 2
- Jesús Martínez-Frutos 2
- Rogelio Ortigosa 2
- Pablo Pedregal 1
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1
Universidad de Castilla-La Mancha
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2
Universidad Politécnica de Cartagena
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Argitaletxea: International Council for Industrial and Applied Mathematics
Argitalpen urtea: 2019
Mota: Biltzar ekarpena
Laburpena
Hyperelasticity is the appropriate mathematical theory to model the dynamics of soft robots. In this work, we state and solve two specific optimal control problems in hyperelasticity. We prove existence of optimal solutions both in a deterministic and in a discrete framework for uncertainty in material properties. We also report on some fine numerical simulations.