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In this paper, we give an algorithm that finds an epsilon-approximate solution to a mixed integer quadratic programming (MIQP) problem. The algorithm runs in polynomial time if the rank of the quadratic function and the number of integer…

Optimization and Control · Mathematics 2022-11-30 Alberto Del Pia

Aerial manipulation combines the maneuverability of multirotors with the dexterity of robotic arms to perform complex tasks in cluttered spaces. Yet planning safe, dynamically feasible trajectories remains difficult due to whole-body…

Robotics · Computer Science 2026-05-18 Lin Yang , Jinwoo Lee , Domenico Campolo , H. Jin Kim , Jeonghyun Byun

Planning under partial obervability is essential for autonomous robots. A principled way to address such planning problems is the Partially Observable Markov Decision Process (POMDP). Although solving POMDPs is computationally intractable,…

Robotics · Computer Science 2019-07-24 Marcus Hoerger , Hanna Kurniawati , Alberto Elfes

We present a novel relaxation framework for general mixed-integer nonlinear programming (MINLP) grounded in computational geometry. Our approach constructs polyhedral relaxations by convexifying finite sets of strategically chosen points,…

Optimization and Control · Mathematics 2026-03-20 Haisheng Zhu , Taotao He , Mohit Tawarmalani

A model predictive control (MPC) framework is developed for station-keeping in spacecraft formation flight along libration point orbits. At each control period, the MPC policy solves a multi-vehicle optimal control problem (MVOCP) that…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Yuri Shimane , Purnanand Elango , Avishai Weiss

This paper presents a sequential Model Predictive Control (MPC) approach to reactive motion planning for bipedal robots in dynamic environments. The approach relies on a sequential polytopic decomposition of the free space, which provides…

In the context of autonomous driving, the iterative linear quadratic regulator (iLQR) is known to be an efficient approach to deal with the nonlinear vehicle model in motion planning problems. Particularly, the constrained iLQR algorithm…

Robotics · Computer Science 2022-07-28 Jun Ma , Zilong Cheng , Xiaoxue Zhang , Masayoshi Tomizuka , Tong Heng Lee

In this paper, we propose an approach to coordinated receding-horizon control of vehicle speed and transmission gearshift for automated battery electric vehicles (BEVs) to achieve improved energy efficiency. The introduction of multi-speed…

Systems and Control · Electrical Eng. & Systems 2021-02-19 Nan Li , Kyoungseok Han , Ilya Kolmanovsky , Anouck Girard

There is a strong demand for covering a large area autonomously by multiple UAVs (Unmanned Aerial Vehicles) supported by a ground vehicle. Limited by UAVs' battery life and communication distance, complete coverage of large areas typically…

Robotics · Computer Science 2019-11-25 Di Deng , Wei Jing , Yuhe Fu , Ziyin Huang , Jiahong Liu , Kenji Shimada

In this paper we propose a fast optimization algorithm for approximately minimizing convex quadratic functions over the intersection of affine and separable constraints (i.e., the Cartesian product of possibly nonconvex real sets). This…

Optimization and Control · Mathematics 2015-09-29 Reza Takapoui , Nicholas Moehle , Stephen Boyd , Alberto Bemporad

Parking a vehicle in tight spaces is a challenging task to perform due to the scarcity of feasible paths that are also collision-free. This paper presents a strategy to tackle this kind of maneuver with a modified Hybrid-A* path-planning…

Robotics · Computer Science 2025-12-16 Xincheng Cao , Haochong Chen , Bilin Aksun-Guvenc , Levent Guvenc

Implementation of Model Predictive Control (MPC) on hardware with limited computational resources remains a challenge. Especially for long-distance maneuvers that require small sampling times, the necessary horizon lengths prevent its…

Robotics · Computer Science 2024-08-16 Philipp Schitz , Johann C. Dauer , Paolo Mercorelli

Control of the density profile based on pellet fueling for the ITER nuclear fusion tokamak involves a multi-rate nonlinear system with safety-critical constraints, input delays, and discrete actuators with parametric uncertainty. To address…

Mixed integer bilinear programs (MIBLPs) offer tools to resolve robotics motion planning problems with orthogonal rotation matrices or static moment balance, but require long solving times. Recent work utilizing data-driven methods has…

Robotics · Computer Science 2024-08-02 Xuan Lin , Gabriel Ikaika Fernandez , Dennis Hong

This paper presents PIQP, a high-performance toolkit for solving generic sparse quadratic programs (QP). Combining an infeasible Interior Point Method (IPM) with the Proximal Method of Multipliers (PMM), the algorithm can handle…

Optimization and Control · Mathematics 2023-09-18 Roland Schwan , Yuning Jiang , Daniel Kuhn , Colin N. Jones

High-speed multi-agent autonomous racing demands robust spatiotemporal planning and precise control under strict computational limits. Current methods often oversimplify interactions or abandon strict kinematic constraints. We resolve this…

Robotics · Computer Science 2026-03-11 Mingyi Zhang , Cheng Hu , Yiqin Wang , Haotong Qin , Hongye Su , Lei Xie

This paper studies the problem of risk-averse receding horizon motion planning for agents with uncertain dynamics, in the presence of stochastic, dynamic obstacles. We propose a model predictive control (MPC) scheme that formulates the…

Systems and Control · Electrical Eng. & Systems 2024-04-02 Anushri Dixit , Mohamadreza Ahmadi , Joel W. Burdick

This article addresses the obstacle avoidance problem for setpoint stabilization and path-following tasks in complex dynamic 2D environments that go beyond conventional scenes with isolated convex obstacles. A combined motion planner and…

Robotics · Computer Science 2023-12-11 Albin Dahlin , Yiannis Karayiannidis

This letter presents a novel coarse-to-fine motion planning framework for robotic manipulation in cluttered, unmodeled environments. The system integrates a dual-camera perception setup with a B-spline-based model predictive control (MPC)…

Robotics · Computer Science 2025-07-16 Chen Cai , Ernesto Dickel Saraiva , Ya-jun Pan , Steven Liu

This letter presents an energy-efficient multi-robot coverage path planning (MRCPP) framework for large, nonconvex Regions of Interest (ROI) containing obstacles and no-fly zones (NFZ). Existing minimum-energy coverage planning algorithms…

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