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Discrete adjoint method for variational integration of constrained ODEs and its application to optimal control of geometrically exact beam dynamics
Matthias Schubert, Rodrigo T. Sato Martín de Almagro, Karin Nachbagauer, Sina Ober-Blöbaum and Sigrid Leyendecker Multibody System Dynamics 60(3) 447 (2024) https://doi.org/10.1007/s11044-023-09934-4
Optimal control of constrained mechanical systems in redundant coordinates: Formulation and structure-preserving discretization
A new Lagrangian approach to control affine systems with a quadratic Lagrange term
Sigrid Leyendecker, Sofya Maslovskaya, Sina Ober-Blöbaum, Rodrigo T. Sato Martín de Almagro and Flóra Orsolya Szemenyei Journal of Computational Dynamics (2024) https://doi.org/10.3934/jcd.2024017
Predicting Sit-to-Stand Body Adaptation Using a Simple Model
Wei Luo and Peter Eberhard Lecture Notes in Electrical Engineering, Informatics in Control, Automation and Robotics 1006 39 (2023) https://doi.org/10.1007/978-3-031-26474-0_3
Symplectic Integration Schemes for Systems With Nonlinear Dissipation
David J. N. Limebeer, Farhang Haddad Farshi and Sina Ober-Blöbaum IEEE Transactions on Automatic Control 68(4) 2338 (2023) https://doi.org/10.1109/TAC.2023.3235908
Time-Optimal Handover Trajectory Planning for Aerial Manipulators Based on Discrete Mechanics and Complementarity Constraints
Michael Burger, Simon Gottschalk and Michael Roller Computational Methods in Applied Sciences, Multibody Dynamics 2019 53 68 (2020) https://doi.org/10.1007/978-3-030-23132-3_9
Discrete mechanics and optimal control optimization of flapping wing dynamics for Mars exploration
Advances in Dynamics, Optimization and Computation
Kathrin Flaßkamp, Sina Ober-Blöbaum and Sebastian Peitz Studies in Systems, Decision and Control, Advances in Dynamics, Optimization and Computation 304 209 (2020) https://doi.org/10.1007/978-3-030-51264-4_9
On optical data-guided optimal control simulations of human motion
Ramona Hoffmann, Bertram Taetz, Markus Miezal, Gabriele Bleser and Sigrid Leyendecker Multibody System Dynamics 48(1) 105 (2020) https://doi.org/10.1007/s11044-019-09701-4
A review of structure-preserving numerical methods for engineering applications
David J. N. Limebeer, Sina Ober-Blobaum and Farhang Haddad Farshi IEEE Transactions on Automatic Control 65(4) 1381 (2020) https://doi.org/10.1109/TAC.2020.2965059
Variational order for forced Lagrangian systems II. Euler–Poincaré equations with forcing
Variational integrator based optimal feedback control for constrained mechanical systems
Daniel Glaas and Sigrid Leyendecker ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 99(1) (2019) https://doi.org/10.1002/zamm.201700221
Structure‐preserving local optimal control of mechanical systems
Discrete-Time Optimal Attitude Control of a Spacecraft with Momentum and Control Constraints
Karmvir Singh Phogat, Debasish Chatterjee and Ravi Banavar Journal of Guidance, Control, and Dynamics 41(1) 199 (2018) https://doi.org/10.2514/1.G002861
Design optimization of dynamic flexible multibody systems using the discrete adjoint variable method
Inverse Dynamics for Discrete Geometric Mechanics of Multibody Systems With Application to Direct Optimal Control
Staffan Björkenstam, Sigrid Leyendecker, Joachim Linn, Johan S. Carlson and Bengt Lennartson Journal of Computational and Nonlinear Dynamics 13(10) (2018) https://doi.org/10.1115/1.4040780
Fast Nonlinear Moving Horizon Estimation with Discrete Mechanics and Optimal Control
Optimal Control: Novel Directions and Applications
Maria Soledad Aronna, Daniela Tonon, Andrea Boccia, et al. Lecture Notes in Mathematics, Optimal Control: Novel Directions and Applications 2180 1 (2017) https://doi.org/10.1007/978-3-319-60771-9_1
Autonomous Suspended Load Operations via Trajectory Optimization and Variational Integrators
Gerardo De La Torre, Evangelos Theodorou and Eric N. Johnson Journal of Guidance, Control, and Dynamics 40(2) 278 (2017) https://doi.org/10.2514/1.G001769
On the time transformation of mixed integer optimal control problems using a consistent fixed integer control function
Towards Discrete Mechanics and Optimal Control for Complex Models * *Financial support by the European Commission within the H2020 project Spexor (GA 687662) is gratefully acknowledged
Discrete Mechanics and Optimal Control of Walking Gaits
M. W. Koch, M. Ringkamp and S. Leyendecker Journal of Computational and Nonlinear Dynamics 12(2) (2017) https://doi.org/10.1115/1.4035213
C1‐continuous space‐time discretization based on Hamilton's law of varying action
Janine C. Mergel, Roger A. Sauer and Sina Ober‐Blöbaum ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 97(4) 433 (2017) https://doi.org/10.1002/zamm.201600062
Symplectic Runge--Kutta Schemes for Adjoint Equations, Automatic Differentiation, Optimal Control, and More
Synthesis of Fibrous Complex Structures: Designing Microstructure to Deliver Targeted Macroscale Response
Francesco dell'Isola, David Steigmann and Alessandro Della Corte Applied Mechanics Reviews 67(6) (2015) https://doi.org/10.1115/1.4032206
Geometry, Mechanics, and Dynamics
Juan C. Marrero, David Martín de Diego and Eduardo Martínez Fields Institute Communications, Geometry, Mechanics, and Dynamics 73 285 (2015) https://doi.org/10.1007/978-1-4939-2441-7_13
Structured Linearization of Discrete Mechanical Systems for Analysis and Optimal Control
Thomas Leitz, Sina Ober-Blöbaum and Sigrid Leyendecker Computational Methods in Applied Sciences, Multibody Dynamics 35 175 (2014) https://doi.org/10.1007/978-3-319-07260-9_8
Dependability of Self-Optimizing Mechatronic Systems