Optimal trajectory planning for autonomous driving integrating logical constraints: An MIQP perspective

X Qian, F Altché, P Bender, C Stiller… - 2016 IEEE 19th …, 2016 - ieeexplore.ieee.org
… an instance of a mixed-integer quadratic program (MIQP). Exact resolution algorithms are
known to solve such problems, leading to a globally optimal trajectory which can then be fed to …

Optimal behavior planning for autonomous driving: A generic mixed-integer formulation

K Esterle, T Kessler, A Knoll - 2020 IEEE Intelligent Vehicles …, 2020 - ieeexplore.ieee.org
… Also separating longitudinal and lateral control yields sub-optimal solutions and limits the …
Linear Programming formulation, leveraging its capability of yielding an optimal solution. That …

Real-time optimal trajectory planning for autonomous driving with collision avoidance using convex optimization

G Li, X Zhang, H Guo, B Lenzo, N Guo - Automotive Innovation, 2023 - Springer
… Most research approximates the objects as circles or ellipses and formulate the optimization
problem into a nonlinear optimal programming in Refs. [17, 18]. However, the computation …

Rule-based optimal control for autonomous driving

W Xiao, N Mehdipour, A Collin, AY Bin-Nun… - Proceedings of the …, 2021 - dl.acm.org
… We develop optimal control strategies for Autonomous … cultural expectations of reasonable
driving behavior. We formulate … involves a sequence of quadratic programs. We also showed …

[HTML][HTML] GOPS: A general optimal control problem solver for autonomous driving and industrial control applications

W Wang, Y Zhang, J Gao, Y Jiang, Y Yang… - Communications in …, 2023 - Elsevier
… Solving optimal control problems serves as the basic demand of industrial control tasks. …
a significant amount of theoretical knowledge and programming skills. Besides, many of them …

Mitigating the impact of selfish routing: An optimal-ratio control scheme (ORCS) inspired by autonomous driving

K Zhang, YM Nie - Transportation Research Part C: Emerging …, 2018 - Elsevier
… , dubbed the optimal-ratio control scheme (ORCS), is formulated as a bi-level program. At the
upper … The bi-level program is then formulated as a mathematical program with equilibrium …

Policy iteration based approximate dynamic programming toward autonomous driving in constrained dynamic environment

Z Lin, J Ma, J Duan, SE Li, H Ma… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
autonomous driving tasks, where the optimal control input can be generated in a receding
horizon fashion by predicting the future evolution of the systems [3]. For example, Borrelli et al. …

Optimal control based approach for autonomous driving

R Dariani, S Schmidt, R Kasper - 2016 IEEE 21st International …, 2016 - ieeexplore.ieee.org
… situations such as Electronic Stability Program ESP, are … error is autonomous driving which
means driving without driver. … As autonomous driving in this work is based on optimal control, …

Optimal program for autonomous driving under Bentham-and Nash-type social welfare functions

K Kinjo, T Ebina - Procedia computer science, 2017 - Elsevier
autonomous driving by formalizing a mathematical model. There are various types of problems
in autonomous driving … answer the ethical problems of autonomous driving. Hence, this …

Rule-based evaluation and optimal control for autonomous driving

W Xiao, N Mehdipour, A Collin, AY Bin-Nun… - arXiv preprint arXiv …, 2021 - arxiv.org
… control problems, where each iteration involves a sequence of quadratic programs. We …
to pass/fail possible autonomous vehicle behaviors against prioritized driving rules. We also …