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Advances in machine learning and the growing trend towards effortless data generation in real-world systems has led to an increasing interest for data-inferred models and data-based control in robotics.
R. W. Brockett, Asymptotic stability and feedback stabilization, Differential Geometric Control Theory 27 (1) (1983) 181–191
1983
Earlier work this paper cites.
D. Gu, H. Hu, A stabilizing receding horizon regulator for nonholonomic mobile robots, IEEE Transactions on Robotics 21 (5) (2005) 1022–1028
2005
Earlier work this paper cites.
S. M. LaValle, Planning algorithms, Cambridge University Press, Cambridge (UK), 2006
2006
Earlier work this paper cites.
D. Gu, H. Hu, Receding horizon tracking control of wheeled mobile robots, IEEE Transactions on control systems technology 14 (4) (2006) 743–749
2006
Earlier work this paper cites.
A. Wächter, L. T. Biegler, On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming, Mathematical Programming 106 (2006) 25–57
2006
Earlier work this paper cites.
J.-M. Coron, Control and Nonlinearity, American Mathematical Society, Providence, 2007
2007
Earlier work this paper cites.
doi:10.1109/TAC.2008.919853
I. I. Hussein, A. M. Bloch, Optimal control of underactuated nonholonomic mechanical systems, IEEE Transactions on Automatic Control 53 (3) (2008) 668–682 · 2008
Earlier work this paper cites.
A. Huang, E. Olson, D. Moore, LCM: Lightweight communications and marshalling, in: Proceedings of the 2010 IEEE/RSJ International Conference on Intelligent Robots and Systems, Taipei, Taiwan, 2010, pp. 4057–4062
2010
Earlier work this paper cites.
F. Jean, Control of Nonholonomic Systems: from Sub-Riemannian Geometry to Motion Planning, Springer, Cham, 2014
2014
Earlier work this paper cites.
A. Bloch, J. E. Marsden, P. E. Crouch, J. Baillieul, Nonholonomic mechanics and control, Springer, New York, NY, 2015
2015
Earlier work this paper cites.
K. Worthmann, M. W. Mehrez, M. Zanon, R. G. Gosine, G. K. I. Mann, M. Diehl, Regulation of Differential Drive Robots using Continuous Time MPC without Stabilizing Constraints or Costs, IFAC-PapersOnLine 48 (23) (2015) 129–135
2015
Earlier work this paper cites.
K. Worthmann, M. W. Mehrez, M. Zanon, R. G. Gosine, G. K. I. Mann, M. Diehl, Model predictive control of nonholonomic mobile robots without stabilizing constraints and costs, IEEE Transactions on Control Systems Technology 24 (4) (2016) 1394–1406
2016
Earlier work this paper cites.
A. Surana, Koopman operator based observer synthesis for control-affine nonlinear systems, in: 2016 IEEE 55th Conference on Decision and Control (CDC), 2016, pp. 6492–6499
2016
Earlier work this paper cites.
M. O. Williams, M. S. Hemati, S. T. Dawson, I. G. Kevrekidis, C. W. Rowley, Extending data-driven Koopman analysis to actuated systems, IFAC-PapersOnLine 49 (18) (2016) 704–709
2016
Earlier work this paper cites.
R. M. Murray, Z. Li, S. S. Sastry, A mathematical introduction to robotic manipulation, CRC press, Boca Raton, 2017
2017
Earlier work this paper cites.
M. A. Müller, K. Worthmann, Quadratic costs do not always work in MPC, Automatica 82 (2017) 269–277
2017
Earlier work this paper cites.
S. Klus, F. Nüske, P. Koltai, H. Wu, I. Kevrekidis, C. Schütte, F. Noé, Data-driven model reduction and transfer operator approximation, Journal of Nonlinear Science 28 (2018) 985–1010
2018
Cited alongside, same era.
M. Korda, I. Mezić, Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control, Automatica 93 (2018) 149–160
2018
Cited alongside, same era.
J. A. E. Andersson, J. Gillis, G. Horn, J. B. Rawlings, M. Diehl, CasADi – A software framework for nonlinear optimization and optimal control, Mathematical Programming Computation 11 (1) (2019) 1–36
2019
Cited alongside, same era.
J. Coulson, J. Lygeros, F. Dörfler, Data-enabled predictive control: In the shallows of the deepc, in: Proceedings of the 18th European Control Conference (ECC), Naples, Italy, 2019, pp. 307–312
2019
Cited alongside, same era.
C. Zhang, E. Zuazua, A quantitative analysis of Koopman operator methods for system identification and predictions, Comptes Rendus. Mécanique 351 (S1) (2023) 1–31
2023
Later among the works it cites.
F. Nüske, S. Peitz, F. Philipp, M. Schaller, K. Worthmann, Finite-data error bounds for Koopman-based prediction and control, Journal of Nonlinear Science 33:14 (2023)
2023
Later among the works it cites.
P. Van Goor, R. Mahony, M. Schaller, K. Worthmann, Reprojection methods for Koopman-based modelling and prediction, in: Proceedings of the 62nd IEEE Conference on Decision and Control (CDC), Singapore, Singapore, 2023, pp. 315–321
2023
Later among the works it cites.
C. Woernle, Multibody Systems: An Introduction to the Kinematics and Dynamics of Systems of Rigid Bodies, Springer, Berlin, 2024
2024
Closest in time.
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A. Salova, J. Emenheiser, A. Rupe, J. P. Crutchfield, R. M. D’Souza, Koopman operator and its approximations for systems with symmetries, Chaos: An Interdisciplinary Journal of Nonlinear Science 29 (9) (2019)
2019
Cited alongside, same era.
J.-M. Coron, L. Grüne, K. Worthmann, Model predictive control, cost controllability, and homogeneity, SIAM Journal on Control and Optimization 58 (5) (2020) 2979–2996
2020
Cited alongside, same era.
H. Eschmann, H. Ebel, P. Eberhard, Trajectory tracking of an omnidirectional mobile robot using Gaussian process regression, at-Automatisierungstechnik 69 (8) (2021) 656–666
2021
Cited alongside, same era.
D. Bruder, X. Fu, R. Vasudevan, Advantages of bilinear Koopman realizations for the modeling and control of systems with unknown dynamics, IEEE Robotics and Automation Letters 6 (3) (2021) 4369–4376
2021
Cited alongside, same era.
C. Folkestad, J. W. Burdick, Koopman NMPC: Koopman-based learning and nonlinear model predictive control of control-affine systems, in: IEEE International Conference on Robotics and Automation, 2021, pp. 7350–7356
2021
Cited alongside, same era.
S. E. Otto, C. W. Rowley, Koopman operators for estimation and control of dynamical systems, Annual Review of Control, Robotics, and Autonomous Systems 4 (2021) 59–87
2021
Cited alongside, same era.
F. Fiedler, S. Lucia, On the relationship between data-enabled predictive control and subspace predictive control, in: Proceedings of the 2021 European Control Conference (ECC), Delft, Netherlands, 2021, pp. 222–229
2021
Cited alongside, same era.
I. Mezić, On numerical approximations of the Koopman operator, Mathematics 10 (7) (2022)
2022
Cited alongside, same era.
2024
Closest in time.
doi:10.1016/j.acha.2024.101657
F. M. Philipp, M. Schaller, K. Worthmann, S. Peitz, F. Nüske, Error bounds for kernel-based approximations of the Koopman operator, Applied and Computational Harmonic Analysis 71:101657 (2024) · 2024
Closest in time.
F. Köhne, F. M. Philipp, M. Schaller, A. Schiela, K. Worthmann, L ∞ {L}^{\infty} -error bounds for approximations of the Koopman operator by kernel extended dynamic mode decomposition, SIAM Journal on Applied Dynamical Systems (2024) · 2024
Closest in time.
L. C. Iacob, R. Tóth, M. Schoukens, Koopman form of nonlinear systems with inputs, Automatica 162:111525 (2024)
2024
Closest in time.
2024
Closest in time.
doi:10.1109/TAC.2024.3425770
R. Strässer, M. Schaller, K. Worthmann, J. Berberich, F. Allgöwer, Koopman-based feedback design with stability guarantees, IEEE Transactions on Automatic Control (2024) · 2024
Closest in time.
doi:10.1109/TAC.2024.3431169
L. Bold, L. Grüne, M. Schaller, K. Worthmann, Data-driven MPC with stability guarantees using extended dynamic mode decomposition, IEEE Transactions on Automatic Control (2024) · 2024
Closest in time.
doi:10.18419/darus-4538
M. Rosenfelder, H. Eschmann, P. Eberhard, H. Ebel, A Data Set for Research on Differential-Drive Mobile Robots in the Context of EDMD, published dataset, v1, DaRUS (2024) · 2024
Closest in time.
BeagleBoard.org Foundation, BagleBoard.org - Blue, Available at https://beagleboard.org/blue, accessed on August 12, 2024
2024
Closest in time.
H. Ebel, M. Rosenfelder, P. Eberhard, Cooperative object transportation with differential-drive mobile robots: Control and experimentation, Robotics and Autonomous Systems 173 (2024) 104612
2024
Closest in time.
T. Hochrainer, G. Kar, Approximation of translation invariant Koopman operators for coupled non-linear systems, Chaos: An Interdisciplinary Journal of Nonlinear Science 34 (8) (2024)
2024
Closest in time.