Fetching the paper…
Reading the bibliography…
The backup control barrier function (CBF) was recently proposed as a tractable formulation that guarantees the feasibility of the CBF quadratic programming (QP) via an implicitly defined control invariant set.
D. Bertsekas, “Infinite time reachability of state-space regions by using feedback control,” IEEE Transactions on Automatic Control , vol. 17, no. 5, pp. 604–613, 1972
1972
Earlier work this paper cites.
R. Hermann and A. Krener, “Nonlinear controllability and observability,” IEEE Transactions on automatic control , vol. 22, no. 5, pp. 728–740, 1977
1977
Earlier work this paper cites.
F. Blanchini, “Set invariance in control,” Automatica , vol. 35, no. 11, pp. 1747–1767, 1999
1999
Earlier work this paper cites.
H. Seywald and R. Kumar, “Desensitized optimal trajectories,” Analytical Mechanics Associates Rept , pp. 03–16, 2003
2003
Earlier work this paper cites.
S. Rakovic, P. Grieder, M. Kvasnica, D. Mayne, and M. Morari, “Computation of invariant sets for piecewise affine discrete time systems subject to bounded disturbances,” in 2004 43rd IEEE Conference on Decision and Control (CDC)(IEEE Cat. No. 04CH37601) , vol. 2. IEEE, 2004, pp. 1418–1423
2004
Earlier work this paper cites.
I. M. Mitchell, A. M. Bayen, and C. J. Tomlin, “A time-dependent hamilton-jacobi formulation of reachable sets for continuous dynamic games,” IEEE Transactions on automatic control , vol. 50, no. 7, pp. 947–957, 2005
2005
Earlier work this paper cites.
P. Wieland and F. Allgöwer, “Constructive safety using control barrier functions,” IFAC Proceedings Volumes , vol. 40, no. 12, pp. 462–467, 2007
2007
Earlier work this paper cites.
J.-P. Aubin, A. M. Bayen, and P. Saint-Pierre, Viability theory: new directions . Springer Science & Business Media, 2011
2011
Cited alongside, same era.
A. D. Ames, J. W. Grizzle, and P. Tabuada, “Control barrier function based quadratic programs with application to adaptive cruise control,” in 53rd IEEE Conference on Decision and Control . IEEE, 2014, pp. 6271–6278
2014
Cited alongside, same era.
M. Korda, D. Henrion, and C. N. Jones, “Convex computation of the maximum controlled invariant set for polynomial control systems,” SIAM Journal on Control and Optimization , vol. 52, no. 5, pp. 2944–2969, 2014
2014
Cited alongside, same era.
Q. Nguyen and K. Sreenath, “Exponential control barrier functions for enforcing high relative-degree safety-critical constraints,” in 2016 American Control Conference (ACC) . IEEE, 2016, pp. 322–328
2016
Cited alongside, same era.
X. Xu, “Constrained control of input–output linearizable systems using control sharing barrier functions,” Automatica , vol. 87, pp. 195–201, 2018
2018
Later among the works it cites.
T. Gurriet, M. Mote, A. D. Ames, and E. Feron, “An online approach to active set invariance,” in 2018 IEEE Conference on Decision and Control (CDC) . IEEE, 2018, pp. 3592–3599
2018
Later among the works it cites.
W. Xiao and C. Belta, “Control barrier functions for systems with high relative degree,” in 2019 IEEE 58th Conference on Decision and Control (CDC) . IEEE, 2019, pp. 474–479
2019
Later among the works it cites.
Y. Chen, A. Hereid, H. Peng, and J. Grizzle, “Enhancing the performance of a safe controller via supervised learning for truck lateral control,” Journal of Dynamic Systems, Measurement, and Control , vol. 141, no. 10, 2019
2019
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
X. Xu, J. W. Grizzle, P. Tabuada, and A. D. Ames, “Correctness guarantees for the composition of lane keeping and adaptive cruise control,” IEEE Transactions on Automation Science and Engineering , vol. 15, no. 3, pp. 1216–1229, 2017
2017
Cited alongside, same era.
Y. Chen, H. Peng, J. Grizzle, and N. Ozay, “Data-driven computation of minimal robust control invariant set,” in 2018 IEEE Conference on Decision and Control (CDC) . IEEE, 2018, pp. 4052–4058
2018
Cited alongside, same era.
L. Lindemann and D. V. Dimarogonas, “Control barrier functions for signal temporal logic tasks,” IEEE control systems letters , vol. 3, no. 1, pp. 96–101, 2018
2018
Cited alongside, same era.
A. Taylor, A. Singletary, Y. Yue, and A. Ames, “Learning for safety-critical control with control barrier functions,” in Learning for Dynamics and Control . PMLR, 2020, pp. 708–717
2020
Later among the works it cites.
T. Gurriet, M. Mote, A. Singletary, P. Nilsson, E. Feron, and A. D. Ames, “A scalable safety critical control framework for nonlinear systems,” IEEE Access , vol. 8, pp. 187 249–187 275, 2020
2020
Later among the works it cites.
C. Folkestad, Y. Chen, A. D. Ames, and J. W. Burdick, “Data-driven safety-critical control: Synthesizing control barrier functions with koopman operators,” IEEE Control Systems Letters , 2020
2020
Later among the works it cites.