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This paper addresses the problem of planning a safe (i.e., collision-free) trajectory from an initial state to a goal region when the obstacle space is a-priori unknown and is incrementally revealed online, e.g., through line-of-sight…

Robotics · Computer Science 2018-04-17 Lucas Janson , Tommy Hu , Marco Pavone

Discrete-time robust optimal control problems generally take a min-max structure over continuous variable spaces, which can be difficult to solve in practice. In this paper, we extend the class of such problems that can be solved through a…

Optimization and Control · Mathematics 2024-04-30 Jad Wehbeh , Eric C. Kerrigan

The ability to accurately predict human behavior is central to the safety and efficiency of robot autonomy in interactive settings. Unfortunately, robots often lack access to key information on which these predictions may hinge, such as…

Robotics · Computer Science 2022-06-07 Haimin Hu , Jaime F. Fisac

This paper presents a novel methodology for tractably solving optimal control and offline reinforcement learning problems for high-dimensional systems. This work is motivated by the ongoing challenges of safety, computation, and optimality…

Optimization and Control · Mathematics 2022-07-06 Aaron Kandel , Saehong Park , Scott Moura

Trajectory planning and control have historically been separated into two modules in automated driving stacks. Trajectory planning focuses on higher-level tasks like avoiding obstacles and staying on the road surface, whereas the controller…

Robotics · Computer Science 2022-09-21 Rowan Dempster , Mohammad Al-Sharman , Derek Rayside , William Melek

Scheduling in the factory setting is compounded by computational complexity and temporal uncertainty. Together, these two factors guarantee that the process of constructing an optimal schedule will be costly and the chances of executing…

Artificial Intelligence · Computer Science 2013-04-12 B. R. Fox , Karl G. Kempf

We investigate a method to deal with congestion of sectors and delays in the tactical phase of air traffic flow and capacity management. It relies on temporal objectives given for every point of the flight plans and shared among the…

Artificial Intelligence · Computer Science 2013-09-18 Gaétan Marceau , Pierre Savéant , Marc Schoenauer

This paper considers the problem of designing time-dependent, real-time control policies for controllable nonlinear diffusion processes, with the goal of obtaining maximally-informative observations about parameters of interest. More…

Methodology · Statistics 2014-10-16 Giles Hooker , Kevin K. Lin , Bruce Rogers

This work introduces a stochastic model predictive control scheme for dynamic chance constraints. We consider linear discrete-time systems affected by unbounded additive stochastic disturbance. To synthesize an optimal controller, we solve…

Systems and Control · Electrical Eng. & Systems 2023-07-26 Maico Hendrikus Wilhelmus Engelaar , Sofie Haesaert , Mircea Lazar

Trajectory guidance requires a leader robotic agent to assist a follower robotic agent to cooperatively reach the target destination. However, planning cooperation becomes difficult when the leader serves a family of different followers and…

Robotics · Computer Science 2024-03-19 Yuhan Zhao , Quanyan Zhu

The problem of resource allocation of nonlinear networked control systems is investigated, where, unlike the well discussed case of triggering for stability, the objective is optimal triggering. An approximate dynamic programming approach…

Systems and Control · Computer Science 2014-12-19 Ali Heydari

This work deals with optimal control problems as a strategy to drive bifurcating solution of nonlinear parametrized partial differential equations towards a desired branch. Indeed, for these governing equations, multiple solution…

Numerical Analysis · Mathematics 2023-08-08 Federico Pichi , Maria Strazzullo , Francesco Ballarin , Gianluigi Rozza

This paper considers the distributed robust suboptimal consensus control problem of linear multi-agent systems, with both H2 and H_infty performance requirements. A novel two-step complementary design approach is proposed. In the first…

Systems and Control · Electrical Eng. & Systems 2022-04-15 Zhongkui Li , Junjie Jiao , Xiang Chen

An optimal control problem with a time-parameter is considered. The functional to be optimized includes the maximum over time-horizon reached by a function of the state variable, and so an $L^\infty$-term. In addition to the classical…

Optimization and Control · Mathematics 2018-11-01 Sébastien Court , Karl Kunisch , Laurent Pfeiffer

Motivated by fatigue damage models, this paper addresses optimal control problems governed by a non-smooth system featuring two non-differentiable mappings. This consists of a coupling between a doubly non-smooth history-dependent evolution…

Optimization and Control · Mathematics 2023-02-14 Livia Betz

This paper considers the distributed robust control problems of uncertain linear multi-agent systems with undirected communication topologies. It is assumed that the agents have identical nominal dynamics while subject to different…

Systems and Control · Computer Science 2011-09-20 Zhongkui Li , Zhisheng Duan , Lihua Xie , Xiangdong Liu

This paper presents a novel robust trajectory optimization method for constrained nonlinear dynamical systems subject to unknown bounded disturbances. In particular, we seek optimal control policies that remain robustly feasible with…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Arshiya Taj Abdul , Augustinos D. Saravanos , Evangelos A. Theodorou

In many resource-limited optimal control problems, multiple constraints may be enforced that are jointly infeasible due to external factors such as subsystem failures, unexpected disturbances, or fuel limitations. In this manuscript, we…

Optimization and Control · Mathematics 2023-11-06 Natalia Pavlasek , Sarah H. Q. Li , Behçet Açıkmeşe , Meeko Oishi , Claus Danielson

In this chapter, we are concerned with inverse optimal control problems, i.e., optimization models which are used to identify parameters in optimal control problems from given measurements. Here, we focus on linear-quadratic optimal control…

Optimization and Control · Mathematics 2023-11-27 Stephan Dempe , Markus Friedemann , Felix Harder , Patrick Mehlitz , Gerd Wachsmuth

We deal with the convergence of the value function of an approximate control problem with uncertain dynamics to the value function of a nonlinear optimal control problem. The assumptions on the dynamics and the costs are rather general and…

Optimization and Control · Mathematics 2021-05-31 Andrea Pesare , Michele Palladino , Maurizio Falcone