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Monolithic and Staggered Solution Strategies for Constrained Mechanical Systems in Optimal Control Problems
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Relative-kinematic formulation of geometrically exact beam dynamics based on Lie group variational integrators
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
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
Predicting Sit-to-Stand Body Adaptation Using a Simple Model
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
Informatics in Control, Automation and Robotics
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
Optimal Control of Dielectric Elastomer Actuated Multibody Dynamical Systems
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
Variational Integrators for Dissipative Systems
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
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
A review of structure-preserving numerical methods for engineering applications
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
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
A Fractional Variational Approach for Modelling Dissipative Mechanical Systems:Continuous and Discrete Settings
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
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
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
Galerkin variational integrators and modified symplectic Runge–Kutta methods
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
Simultaneous path planning and trajectory optimization for robotic manipulators using discrete mechanics and optimal control
Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics
Peter Betsch CISM International Centre for Mechanical Sciences, Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics 565 31 (2016) https://doi.org/10.1007/978-3-319-31879-0_2
Geometric Integrators for Higher-Order Variational Systems and Their Application to Optimal Control
Natasha Bosanac, Kathleen C. Howell and Ephraim Fischbach Astrophysics and Space Science Proceedings, Astrodynamics Network AstroNet-II 44 1 (2016) https://doi.org/10.1007/978-3-319-23986-6_1
Optimal feedback control for constrained mechanical systems
Variational integrators for mechanical control systems with symmetries
Leonardo Colombo, Fernando Jiménez and David Martín de Diego Journal of Computational Dynamics 2(2) 193 (2015) https://doi.org/10.3934/jcd.2015003
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
Symmetry exploiting control of hybrid mechanical systems
Kathrin Flasskamp, Sebastian Hage-Packhäuser and Sina Ober-Blöbaum Journal of Computational Dynamics 2(1) 25 (2015) https://doi.org/10.3934/jcd.2015.2.25
Higher Order Variational Integrators for Multibody System Dynamics with Constraints
Design Methodology for Intelligent Technical Systems
Michael Dellnitz, Roman Dumitrescu, Kathrin Flaßkamp, et al. Lecture Notes in Mechanical Engineering, Design Methodology for Intelligent Technical Systems 1 (2014) https://doi.org/10.1007/978-3-642-45435-6_1
Design Methodology for Intelligent Technical Systems
Harald Anacker, Michael Dellnitz, Kathrin Flaßkamp, et al. Lecture Notes in Mechanical Engineering, Design Methodology for Intelligent Technical Systems 183 (2014) https://doi.org/10.1007/978-3-642-45435-6_5