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Coordinating the motions of multiple autonomous vehicles (AVs) requires planning frameworks that ensure safety while making efficient use of space and time. This paper presents a new approach, termed variable-time-step spatio-temporal…

Robotics · Computer Science 2026-04-27 Pengfei Liu , Jialing Zhou , Yuezu Lv , Guanghui Wen , Tingwen Huang

Quadrotor flight is an extremely challenging problem due to the limited control authority encountered at the limit of handling. Model Predictive Contouring Control (MPCC) has emerged as a promising model-based approach for time optimization…

This paper presents a Segmented Trajectory Optimization (STO) method for autonomous parking, which refines an initial trajectory into a dynamically feasible and collision-free one using an iterative SQP-based approach. STO maintains the…

Robotics · Computer Science 2025-09-05 Hang Yu , Renjie Li

This paper investigates the collaboration of multiple connected and automated vehicles (CAVs) in different scenarios. In general, the collaboration of CAVs can be formulated as a nonlinear and nonconvex model predictive control (MPC)…

Optimization and Control · Mathematics 2022-07-26 Xiaoxue Zhang , Jun Ma , Zilong Cheng , Frank L. Lewis , Tong Heng Lee

This paper presents a sequential convex programming (SCP) framework for ensuring the continuous-time satisfaction of compound state-triggered constraints, a subset of logical specifications, in the powered descent guidance (PDG) problem.…

Systems and Control · Electrical Eng. & Systems 2025-10-14 Samet Uzun , Behcet Acikmese , John M. Carson

Autonomous navigation requires robots to generate trajectories for collision avoidance efficiently. Although plenty of previous works have proven successful in generating smooth and spatially collision-free trajectories, their solutions…

Robotics · Computer Science 2023-09-18 Zhefan Xu , Kenji Shimada

This paper presents a novel quadratic programming (QP) approach for constrained control allocation that directly incorporates continuous-time actuator rate constraints without requiring slack variables. Over-actuated aircraft…

Optimization and Control · Mathematics 2025-07-24 Süleyman Özkurt , Adrian Grimm , Walter Fichter

In this article, a novel combined aerial cooperative tethered carrying and path planning framework is introduced with a special focus on applications in confined environments. The proposed work is aiming towards solving the path planning…

Autonomous vehicles face the problem of optimizing the expected performance of subsequent maneuvers while bounding the risk of collision with surrounding dynamic obstacles. These obstacles, such as agent vehicles, often exhibit stochastic…

Artificial Intelligence · Computer Science 2023-02-28 Rashid Alyassi , Majid Khonji

Sequential Convex Programming (SCP) has recently gained popularity as a tool for trajectory optimization due to its sound theoretical properties and practical performance. Yet, most SCP-based methods for trajectory optimization are…

Optimization and Control · Mathematics 2019-05-21 Riccardo Bonalli , Andrew Bylard , Abhishek Cauligi , Thomas Lew , Marco Pavone

In this paper, we address the trajectory planning problem in uncertain nonconvex static and dynamic environments that contain obstacles with probabilistic location, size, and geometry. To address this problem, we provide a risk bounded…

Robotics · Computer Science 2021-06-11 Ashkan Jasour , Weiqiao Han , Brian Williams

We introduce a multi-phase rocket landing guidance framework that can handle nonlinear dynamics and does not mandate any additional mixed-integer or nonconvex constraints to handle discrete temporal events/switching. To achieve this, we…

Optimization and Control · Mathematics 2023-05-30 Abhinav G. Kamath , Purnanand Elango , Yue Yu , Skye Mceowen , Govind M. Chari , John M. Carson , Behçet Açıkmeşe

Tethered robots play a pivotal role in specialized environments such as disaster response and underground exploration, where their stable power supply and reliable communication offer unparalleled advantages. However, their motion planning…

Robotics · Computer Science 2025-07-17 Jinyuan Liu , Minglei Fu , Ling Shi , Chenguang Yang , Wenan Zhang

This paper presents a spatial-based trajectory planning method for automated vehicles under actuator, obstacle avoidance, and vehicle dimension constraints. Starting from a nonlinear kinematic bicycle model, vehicle dynamics are transformed…

Systems and Control · Computer Science 2017-07-24 Mogens Graf Plessen , Pedro F. Lima , Jonas Martensson , Alberto Bemporad , Bo Wahlberg

We present gPC-SCP: Generalized Polynomial Chaos-based Sequential Convex Programming to compute a sub-optimal solution for a continuous-time chance-constrained stochastic nonlinear optimal control (SNOC) problem. The approach enables motion…

Robotics · Computer Science 2022-03-29 Yashwanth Kumar Nakka , Soon-Jo Chung

Many safety-critical systems must achieve high-level task specifications with guaranteed safety and correctness. Much recent progress towards this goal has been made through controller synthesis from signal temporal logic (STL)…

Robotics · Computer Science 2018-10-23 Rafael Rodrigues da Silva , Hai Lin

This paper is concerned with the design of a linear control law for linear systems with stationary additive disturbances. The objective is to find a state feedback gain that minimizes a quadratic stage cost function, while observing chance…

Optimization and Control · Mathematics 2025-10-03 Georg Schildbach , Paul Goulart , Manfred Morari

In order for automated mobile vehicles to navigate in the real world with minimal collision risks, it is necessary for their planning algorithms to consider uncertainties from measurements and environmental disturbances. In this paper, we…

Robotics · Computer Science 2022-12-19 Nathan Goulet , Qian Wang , Beshah Ayalew

This paper presents a method for online trajectory planning in known environments. The proposed algorithm is a fusion of sampling-based techniques and model-based optimization via quadratic programming. The former is used to efficiently…

Stochastic Optimal Control (SOC) problems arise in systems influenced by uncertainty, such as autonomous robots or financial models. Traditional methods like dynamic programming are often intractable for high-dimensional, nonlinear systems…

Optimization and Control · Mathematics 2025-04-25 Apurva Patil