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We consider the problem of bridging the gap between geometric tracking control theory and implementation of model predictive control (MPC) for robotic systems operating on manifolds.
P. Crouch, “Spacecraft attitude control and stabilization: Applications of geometric control theory to rigid body models,” IEEE Transactions on Automatic Control , vol. 29, no. 4, pp. 321–331, 1984
1984
Earlier work this paper cites.
W. M. Boothby, An introduction to differentiable manifolds and Riemannian geometry . Academic press, 1986
1986
Earlier work this paper cites.
F. Bullo and R. M. Murray, “Tracking for fully actuated mechanical systems: a geometric framework,” Automatica , vol. 35, no. 1, pp. 17–34, 1999
1999
Earlier work this paper cites.
S. P. Bhat and D. S. Bernstein, “A topological obstruction to continuous global stabilization of rotational motion and the unwinding phenomenon,” Systems & Control Letters , vol. 39, no. 1, pp. 63–70, 2000
2000
Earlier work this paper cites.
F. L. Markley, “Attitude error representations for kalman filtering,” Journal of guidance, control, and dynamics , vol. 26, no. 2, pp. 311–317, 2003
2003
Earlier work this paper cites.
E. M. Gertz and S. J. Wright, “Object-oriented software for quadratic programming,” ACM Transactions on Mathematical Software (TOMS) , vol. 29, no. 1, pp. 58–81, 2003
2003
Earlier work this paper cites.
N. Trawny and S. I. Roumeliotis, “Indirect kalman filter for 3d attitude estimation,” University of Minnesota, Dept. of Comp. Sci. & Eng., Tech. Rep , vol. 2, p. 2005, 2005
2005
Earlier work this paper cites.
P. Falcone, M. Tufo, F. Borrelli, J. Asgari, and H. E. Tseng, “A linear time varying model predictive control approach to the integrated vehicle dynamics control problem in autonomous systems,” in 2007 46th IEEE Conference on Decision and Control . IEEE, 2007, pp. 2980–2985
2007
Earlier work this paper cites.
T. Lee, “Computational geometric mechanics and control of rigid bodies.” Ph.D. dissertation, 2008
2008
Earlier work this paper cites.
C. G. Mayhew, R. G. Sanfelice, and A. R. Teel, “Robust global asymptotic attitude stabilization of a rigid body by quaternion-based hybrid feedback,” in Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference . IEEE, 2009, pp. 2522–2527
2009
Earlier work this paper cites.
R. M. Murray et al. , “Optimization-based control,” California Institute of Technology, CA , pp. 111–128, 2009
2009
Earlier work this paper cites.
T. Lee, M. Leok, and N. H. McClamroch, “Geometric tracking control of a quadrotor uav on se (3),” in 49th IEEE conference on decision and control (CDC) . IEEE, 2010, pp. 5420–5425
2010
Earlier work this paper cites.
A. D. Lewis and D. R. Tyner, “Geometric jacobian linearization and lqr theory,” Journal of Geometric Mechanics , vol. 2, no. 4, p. 397, 2010
2010
Earlier work this paper cites.
P. Abbeel, A. Coates, and A. Y. Ng, “Autonomous helicopter aerobatics through apprenticeship learning,” The International Journal of Robotics Research , vol. 29, no. 13, pp. 1608–1639, 2010
2010
Earlier work this paper cites.
T. Lee, “Geometric tracking control of the attitude dynamics of a rigid body on so (3),” in Proceedings of the 2011 American Control Conference . IEEE, 2011, pp. 1200–1205
2011
Earlier work this paper cites.
D. Mellinger and V. Kumar, “Minimum snap trajectory generation and control for quadrotors,” in 2011 IEEE international conference on robotics and automation . IEEE, 2011, pp. 2520–2525
2011
Earlier work this paper cites.
J. W. Robbin and D. A. Salamon, “Introduction to differential geometry,” ETH, Lecture Notes, preliminary version , p. 18, 2011
2011
Earlier work this paper cites.
R. Mahony, V. Kumar, and P. Corke, “Multirotor aerial vehicles: Modeling, estimation, and control of quadrotor,” IEEE Robotics and Automation magazine , vol. 19, no. 3, pp. 20–32, 2012
2012
Cited alongside, same era.
P. Bouffard, A. Aswani, and C. Tomlin, “Learning-based model predictive control on a quadrotor: Onboard implementation and experimental results,” in 2012 IEEE International Conference on Robotics and Automation . IEEE, 2012, pp. 279–284
2012
Cited alongside, same era.
K. Sreenath, T. Lee, and V. Kumar, “Geometric control and differential flatness of a quadrotor uav with a cable-suspended load,” in 52nd IEEE Conference on Decision and Control . IEEE, 2013, pp. 2269–2274
2013
Cited alongside, same era.
A. Saccon, J. Hauser, and A. P. Aguiar, “Optimal control on lie groups: The projection operator approach,” IEEE Transactions on Automatic Control , vol. 58, no. 9, pp. 2230–2245, 2013
2013
Cited alongside, same era.
M. Faessler, A. Franchi, and D. Scaramuzza, “Differential flatness of quadrotor dynamics subject to rotor drag for accurate tracking of high-speed trajectories,” IEEE Robotics and Automation Letters , vol. 3, no. 2, pp. 620–626, 2017
2017
Later among the works it cites.
G. Williams, P. Drews, B. Goldfain, J. M. Rehg, and E. A. Theodorou, “Information-theoretic model predictive control: Theory and applications to autonomous driving,” IEEE Transactions on Robotics , vol. 34, no. 6, pp. 1603–1622, 2018
2018
Later among the works it cites.
M. Neunert, M. Stäuble, M. Giftthaler, C. D. Bellicoso, J. Carius, C. Gehring, M. Hutter, and J. Buchli, “Whole-body nonlinear model predictive control through contacts for quadrupeds,” IEEE Robotics and Automation Letters , vol. 3, no. 3, pp. 1458–1465, 2018
2018
Later among the works it cites.
J. Di Carlo, P. M. Wensing, B. Katz, G. Bledt, and S. Kim, “Dynamic locomotion in the mit cheetah 3 through convex model-predictive control,” in 2018 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) . IEEE, 2018, pp. 1–9
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C. Hertzberg, R. Wagner, U. Frese, and L. Schröder, “Integrating generic sensor fusion algorithms with sound state representations through encapsulation of manifolds,” Information Fusion , vol. 14, no. 1, pp. 57–77, 2013
2013
Cited alongside, same era.
M. Bangura and R. Mahony, “Real-time model predictive control for quadrotors,” IFAC Proceedings Volumes , vol. 47, no. 3, pp. 11 773–11 780, 2014
2014
Cited alongside, same era.
R. Brockett, “The early days of geometric nonlinear control,” Automatica , vol. 50, no. 9, pp. 2203–2224, 2014
2014
Cited alongside, same era.
G. Wu and K. Sreenath, “Variation-based linearization of nonlinear systems evolving on so(3) and 𝕊 2 \mathbb{S}^{2} ,” IEEE Access , vol. 3, pp. 1592–1604, 2015
2015
Cited alongside, same era.
D. C. Fernández and G. A. Hollinger, “Model predictive control for underwater robots in ocean waves,” IEEE Robotics and Automation letters , vol. 2, no. 1, pp. 88–95, 2016
2016
Cited alongside, same era.
T. Zhang, G. Kahn, S. Levine, and P. Abbeel, “Learning deep control policies for autonomous aerial vehicles with mpc-guided policy search,” in 2016 IEEE international conference on robotics and automation (ICRA) . IEEE, 2016, pp. 528–535
2016
Cited alongside, same era.
U. Kalabić, R. Gupta, S. Di Cairano, A. Bloch, and I. Kolmanovsky, “Mpc on manifolds with an application to se (3),” in 2016 American Control Conference (ACC) . IEEE, 2016, pp. 7–12
2016
Cited alongside, same era.
R. M. Murray, Z. Li, and S. S. Sastry, A mathematical introduction to robotic manipulation . CRC press, 2017
2017
Cited alongside, same era.
2018
Later among the works it cites.
D. Falanga, P. Foehn, P. Lu, and D. Scaramuzza, “Pampc: Perception-aware model predictive control for quadrotors,” in 2018 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) . IEEE, 2018, pp. 1–8
2018
Later among the works it cites.
P. Foehn and D. Scaramuzza, “Onboard state dependent lqr for agile quadrotors,” in 2018 IEEE International Conference on Robotics and Automation (ICRA) . IEEE, 2018, pp. 6566–6572
2018
Later among the works it cites.
G. Lu and F. Zhang, “Imu-based attitude estimation in the presence of narrow-band noise,” IEEE/ASME Transactions on Mechatronics , vol. 24, no. 2, pp. 841–852, 2019
2019
Later among the works it cites.
M. V. Minniti, F. Farshidian, R. Grandia, and M. Hutter, “Whole-body mpc for a dynamically stable mobile manipulator,” IEEE Robotics and Automation Letters , vol. 4, no. 4, pp. 3687–3694, 2019
2019
Later among the works it cites.
D. Bicego, J. Mazzetto, R. Carli, M. Farina, and A. Franchi, “Nonlinear model predictive control with actuator constraints for multi-rotor aerial vehicles,” conditionally accepted to Journal of Intelligent & Robotics Systems , 2019
2019
Later among the works it cites.
B. Lindqvist, S. S. Mansouri, A.-a. Agha-mohammadi, and G. Nikolakopoulos, “Nonlinear mpc for collision avoidance and control of uavs with dynamic obstacles,” IEEE Robotics and Automation Letters , vol. 5, no. 4, pp. 6001–6008, 2020
2020
Later among the works it cites.
C. E. Luis, M. Vukosavljev, and A. P. Schoellig, “Online trajectory generation with distributed model predictive control for multi-robot motion planning,” IEEE Robotics and Automation Letters , vol. 5, no. 2, pp. 604–611, 2020
2020
Later among the works it cites.
S. Hong, J.-H. Kim, and H.-W. Park, “Real-time constrained nonlinear model predictive control on so (3) for dynamic legged locomotion,” in IROS 2020: International Conference on Intelligent Robots and Systems . Institute of Electrical and Electronics Engineers Inc., 2020, pp. 972–979
2020
Later among the works it cites.
2020
Later among the works it cites.
M. Zhang, X. Zuo, Y. Chen, Y. Liu, and M. Li, “Pose estimation for ground robots: On manifold representation, integration, reparameterization, and optimization,” IEEE Transactions on Robotics , 2021
2021
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2021
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W. Xu and F. Zhang, “Fast-lio: A fast, robust lidar-inertial odometry package by tightly-coupled iterated kalman filter,” IEEE Robotics and Automation Letters , vol. 6, no. 2, pp. 3317–3324, 2021
2021
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