@article {273, title = {Certifying the LTL Formula p Until q in Hybrid Systems}, journal = {IEEE Transactions on Automatic Control}, volume = {68}, number = {7}, year = {2022}, month = {September}, pages = {4451-4458}, keywords = {Automata, Control systems, Convergence, Dynamical systems, safety, Stability analysis, Time-domain analysis}, author = {H. Han and M. Maghenem and R. G. Sanfelice} } @article {113, title = {Robust Global Trajectory Tracking for a Class of Underactuated Vehicles}, journal = {Automatica}, volume = {58}, year = {2015}, month = {August}, pages = {90-98}, keywords = {attitude control}, author = {P. Casau and R. G. Sanfelice and R. Cunha and D. Cabecinhas and C. Silvestre} } @article {104, title = {A Globally Asymptotically Stabilizing Trajectory Tracking Controller for Fully Actuated Rigid Bodies using Landmark-based Information}, journal = {International Journal of Robust and Nonlinear Control}, volume = {25}, year = {2015}, pages = {3617--3640}, keywords = {attitude control}, doi = {10.1002/rnc.3283}, author = {P. Casau and R. G. Sanfelice and R. Cunha and C. Silvestre} } @article {68, title = {On Path-Lifting Mechanisms and Unwinding in Quaternion-based Attitude Control}, journal = {IEEE Transactions on Automatic Control}, volume = {58}, number = {5}, year = {2013}, month = {May}, pages = {1179{\textendash}1191}, keywords = {attitude control}, doi = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6389715}, author = {C. G. Mayhew and R. G. Sanfelice and A. R. Teel} } @article {58, title = {Quaternion-Based Hybrid Feedback for Robust Global Attitude Synchronization}, journal = {IEEE Transactions on Automatic Control}, volume = {57}, number = {8}, year = {2012}, month = {August}, pages = {2122{\textendash}2127}, keywords = {attitude control}, doi = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6111242}, url = {https://hybrid.soe.ucsc.edu/files/preprints/58.pdf}, author = {C. G. Mayhew and R. G. Sanfelice and J. Sheng and M. Arcak and A. R. Teel} } @article {50, title = {Quaternion-Based Hybrid Controller for Robust Global Attitude Tracking}, journal = {IEEE Transactions on Automatic Control}, volume = {56}, number = {11}, year = {2011}, month = {November}, pages = {2555{\textendash}2566}, keywords = {attitude control}, doi = {http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=5701762}, url = {https://hybrid.soe.ucsc.edu/files/preprints/50.pdf}, author = {C. G. Mayhew and R. G. Sanfelice and A. R. Teel} } @conference {268, title = {A Set-based Motion Planning Algorithm for Aerial Vehicles in the Presence of Obstacles Exhibiting Hybrid Dynamics}, booktitle = {Proceedings of the 6th IEEE Conference on Control Technology and Applications}, year = {2022}, month = {August}, pages = {583-588}, keywords = {Aerial Vehicles, hybrid dynamics, motion planning}, author = {A. Ames and N. Wang and R. G. Sanfelice} } @conference {107, title = {Global Exponential Stabilization on the $n$-Dimensional Sphere}, booktitle = {Proceedings of the American Control Conference}, series = {NULL}, year = {2015}, month = {June}, pages = {3218--3223}, keywords = {attitude control, hybrid systems}, author = {P. Casau and C. G. Mayhew and R. G. Sanfelice and C. Silvestre} } @conference {101, title = {A Hybrid Controller for Global Uniform Exponential Stabilization of Linear Systems with Singular Input Constraints}, booktitle = {Proceedings of the Conference on Decision and Control}, series = {NULL}, year = {2014}, month = {December}, pages = {741--746}, keywords = {attitude control, hybrid systems}, author = {P. Casau and R. G. Sanfelice and C. Silvestre} } @conference {90, title = {A Hybrid Feedback Controller for Robust Global Trajectory Tracking of Quadrotor-like Vehicles with Minimized Attitude Error}, booktitle = {Proceedings of the 2014 IEEE International Conference on Robotics and Automation}, series = {NULL}, year = {2014}, month = {June}, pages = {6272--6277}, keywords = {attitude control}, author = {P. Casau and R. G. Sanfelice and R. Cunha and D. Cabecinhas and C. Silvestre} } @conference {81, title = {Global Trajectory Tracking for Underactuated {VTOL} Aerial Vehicles using Cascade Control Paradigms}, booktitle = {Proceedings of the IEEE Conference on Decision and Control}, series = {NULL}, year = {2013}, pages = {4212{\textendash}4217}, keywords = {attitude control}, author = {R. Naldi and M. Furci and R. G. Sanfelice and L. Marconi} } @conference {71, title = {Global Trajectory Tracking for a Class of Underactuated Vehicles}, booktitle = {Proceedings of the American Control Conference}, series = {NULL}, year = {2013}, month = {June}, pages = {419{\textendash}424}, keywords = {attitude control}, url = {https://hybrid.soe.ucsc.edu/files/preprints/71.pdf}, author = {P. Casau and R. G. Sanfelice and R. Cunha and D. Cabecinhas and C. Silvestre} } @conference {66, title = {A Landmark-Based Controller for Global Asymptotic Stabilization on {SE(3)}}, booktitle = {Proceedings of the IEEE Conference on Decision and Control}, series = {NULL}, year = {2012}, pages = {496{\textendash}501}, keywords = {attitude control}, doi = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6426535}, url = {https://hybrid.soe.ucsc.edu/files/preprints/66.pdf}, author = {P. Casau and R. G. Sanfelice and R. Cunha, C. Silvestre} } @conference {59, title = {Attitude Control for Optimal Generation of Energy From Multiple Energy Sources}, booktitle = {Proceedings of the ASEE Conference}, series = {NULL}, year = {2012}, address = {Chicago, IL}, keywords = {attitude control}, author = {M. Robles and R. G. Sanfelice and G. Campa} } @conference {48, title = {On the Non-Robustness of Memoryless Path-Lifting Schemes for Quaternion-Based Attitude Control}, booktitle = {Proc. 30th American Control Conference}, series = {NULL}, year = {2011}, pages = {1003{\textendash}1008}, keywords = {attitude control}, doi = {http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=5991359}, author = {C. G. Mayhew and R. G. Sanfelice and A. R. Teel} } @conference {47, title = {On Quaternion-Based Attitude Control and the Unwinding Phenomenon}, booktitle = {Proc. 30th American Control Conference}, series = {NULL}, year = {2011}, pages = {299{\textendash}304}, keywords = {attitude control}, doi = {http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=5991127}, author = {C. G. Mayhew and R. G. Sanfelice and A. R. Teel} } @conference {41, title = {Robust Global Asymptotic Attitude Synchronization by Hybrid Control}, booktitle = {Proc. 29th American Control Conference}, series = {NULL}, year = {2010}, pages = {3666{\textendash}3671}, keywords = {attitude control}, doi = {http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=\&arnumber=5530428}, author = {C. G. Mayhew and R. G. Sanfelice and M. Arcak and A. R. Teel} } @conference {38, title = {Robust Global Asymptotic Attitude Stabilization of a Rigid Body by Quaternion-based Hybrid Feedback}, booktitle = {Proc. 46th Conference on Decision and Control}, series = {NULL}, year = {2009}, pages = {2522{\textendash}2527}, abstract = {Global asymptotic stabilization of the attitude of a rigid body is made difficult by several topological obstructions. In fact, this task is impossible to accomplish with discontinuous state feedback. Moreover, when the attitude is parameterized with unit quaternions, it becomes impossible to design a globally stabilizing state feedback (even discontinuous) that is robust to measurement noise. In this paper, we present a quaternion-based hysteretic hybrid feedback that robustly globally asymptotically stabilizes the attitude of a rigid body. The hybrid control laws are derived through Lyapunov analysis in kinematic and dynamic settings. In the dynamic setting, we provide two control laws: one derived from a simple Lyapunov function, and another based on backstepping. Analyzing the change in these Lyapunov functions due to jumps of the hysteretic logic variable yields a straightforward form for state-based hysteretic switching points. A simulation study demonstrates robustness to measurement noise in the proposed control laws and differences between the non-backstepping and backstepping control laws.}, keywords = {attitude control}, doi = {http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=\&arnumber=5400431}, url = {https://hybrid.soe.ucsc.edu/files/preprints/38.pdf}, author = {C. G. Mayhew and R. G. Sanfelice and A. R. Teel} } @conference {37, title = {Robust Global Asymptotic Stabilization of a 6-DOF Rigid Body by Quaternion-based Hybrid Feedback}, booktitle = {Proc. 46th Conference on Decision and Control}, series = {NULL}, year = {2009}, pages = {1094{\textendash}1099}, abstract = {The problem of robust, global asymptotic stabilization of a rigid body is hampered by major topological obstructions. These obstructions prevent a continuous state feedback from solving the problem and also lead to robustness issues when discontinuous feedback is applied. In this paper, we extend a hybrid control strategy proposed in a companion paper for robust, global asymptotic stabilization of rigid body attitude to the case where translation is also considered. The quaternion-based hysteretic hybrid feedback laws are developed in the kinematic and dynamic settings. In the dynamic setting, two control laws are derived, one of which is based on backstepping. Robustness to measurement noise is asserted by employing recently developed stability theory for hybrid systems. The hybrid feedback is found to have desirable robustness properties.}, keywords = {attitude control}, doi = {http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=\&arnumber=5400338}, url = {https://hybrid.soe.ucsc.edu/files/preprints/37.pdf}, author = {C. G. Mayhew and R. G. Sanfelice and A. R. Teel} } @conference {28, title = {On robust, global stabilization of the attitude of an underactuated rigid body using hybrid feedback}, booktitle = {Proc. 27th American Control Conference}, series = {NULL}, year = {2008}, pages = {2909{\textendash}2914}, abstract = {A hybrid feedback is developed for robust, global stabilization of the attitude of an underactuated rigid body. For the case where two angular velocities are considered as controls, this objective is achieved. For the case where the two controls are torques, the objective is achieved in a {\textquoteleft}{\textquoteleft}practical" sense, i.e., robust, global asymptotic stability of some arbitrarily small neighborhood of the desired attitude is achieved. To assist with the exposition, a robustly, globally stabilizing hybrid controller is also developed for the case where three angular velocities are considered as controls. This solution provides an alternative to one that has recently appeared in the literature.}, keywords = {attitude control}, doi = {http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=\&arnumber=4586937\&isnumber=4586444}, url = {https://hybrid.soe.ucsc.edu/files/preprints/28.pdf}, author = {A. R. Teel and R. G. Sanfelice} }