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In this paper, we propose a novel approach to synthesize linear feedback controllers for navigating in polygonal environments using noisy measurements and a convex cell decomposition. Our method is based on formulating chance constraints…

最优化与控制 · 数学 2020-12-22 Chenfei Wang , Mahroo Bahreinian , Roberto Tron

We propose a novel approach for navigating in polygonal environments by synthesizing controllers that take as input relative displacement measurements with respect to a set of landmarks. Our algorithm is based on solving a sequence of…

系统与控制 · 电气工程与系统科学 2020-10-13 Mahroo Bahreinian , Erfan Aasi , Roberto Tron

We propose an approach to synthesize linear feedback controllers for linear systems in polygonal environments. Our method focuses on designing a robust controller that can account for uncertainty in measurements. Its inputs are provided by…

系统与控制 · 电气工程与系统科学 2023-10-13 Mehdi Kermanshah , Calin Belta , Roberto Tron

In this paper, we present an approach for designing feedback controllers for polynomial systems that maximize the size of the time-limited backwards reachable set (BRS). We rely on the notion of occupation measures to pose the synthesis…

机器人学 · 计算机科学 2013-06-03 Anirudha Majumdar , Ram Vasudevan , Mark M. Tobenkin , Russ Tedrake

This work presents a method to obtain inner and outer approximations of the region of attraction of a given target set as well as an admissible controller generating the inner approximation. The method is applicable to constrained…

最优化与控制 · 数学 2014-03-21 Milan Korda , Didier Henrion , Colin N. Jones

We propose an approach to trajectory optimization for piecewise polynomial systems based on the recently proposed graphs of convex sets framework. We instantiate the framework with a convex relaxation of optimal control based on occupation…

最优化与控制 · 数学 2025-07-28 Etienne Buehrle , Ömer Şahin Taş , Christoph Stiller

We present a novel method for global motion planning of robotic systems that interact with the environment through contacts. Our method directly handles the hybrid nature of such tasks using tools from convex optimization. We formulate the…

This paper presents a computationally efficient model predictive control formulation that uses an integral Chebyshev collocation method to enable rapid operations of autonomous agents. By posing the finite-horizon optimal control problem…

机器人学 · 计算机科学 2025-03-26 Deep Parikh , Thomas L. Ahrens , Manoranjan Majji

We develop an optimization-based framework for joint real-time trajectory planning and feedback control of feedback-linearizable systems. To achieve this goal, we define a target trajectory as the optimal solution of a time-varying…

系统与控制 · 电气工程与系统科学 2020-03-17 Tianqi Zheng , John Simpson-Porco , Enrique Mallada

This research addresses the increasing demand for advanced navigation systems capable of operating within confined surroundings. A significant challenge in this field is developing an efficient planning framework that can generalize across…

机器人学 · 计算机科学 2024-07-09 Jiayu Fan , Nikolce Murgovski , Jun Liang

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…

机器人学 · 计算机科学 2023-12-11 Albin Dahlin , Yiannis Karayiannidis

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…

系统与控制 · 计算机科学 2017-07-24 Mogens Graf Plessen , Pedro F. Lima , Jonas Martensson , Alberto Bemporad , Bo Wahlberg

This work proposes a safety-critical local reactive controller that enables the robot to navigate in unknown and cluttered environments. In particular, the trajectory tracking task is formulated as a constrained polynomial optimization…

机器人学 · 计算机科学 2023-10-10 Yulin Li , Xindong Tang , Kai Chen , Chunxin Zheng , Haichao Liu , Jun Ma

This work addresses the problem of kinematic trajectory planning for mobile manipulators with non-holonomic constraints, and holonomic operational-space tracking constraints. We obtain whole-body trajectories and time-varying kinematic…

机器人学 · 计算机科学 2018-01-17 Markus Giftthaler , Farbod Farshidian , Timothy Sandy , Lukas Stadelmann , Jonas Buchli

Planning problems are hard, motion planning, for example, isPSPACE-hard. Such problems are even more difficult in the presence of uncertainty. Although, Markov Decision Processes (MDPs) provide a formal framework for such problems, finding…

人工智能 · 计算机科学 2013-01-14 Carlos E. Guestrin , Dirk Ormoneit

To perform autonomous driving maneuvers, such as parallel or perpendicular parking, a vehicle requires continual speed and steering adjustments to follow a generated path. In consequence, the path's quality is a limiting factor of the…

系统与控制 · 电气工程与系统科学 2025-05-14 Jason Zalev

One of the desirable objectives in feedback control design is to formulate and solve the design problem as an optimisation problem that is convex, so that an optimal solution can be found efficiently. Unfortunately many control design…

最优化与控制 · 数学 2025-11-25 Matthew Newton , Zuxun Xiong , Han Wang , Antonis Papachristodoulou

In many multi-agent systems, communication is limited by bandwidth, latency, and energy constraints. Designing controllers that achieve coordination and safety with minimal communication is critical for scalable and reliable deployment.…

系统与控制 · 电气工程与系统科学 2025-12-29 Mo Yang , Jing Yu , Necmiye Ozay

Modern control systems must operate in increasingly complex environments subject to safety constraints and input limits, and are often implemented in a hierarchical fashion with different controllers running at multiple time scales. Yet…

系统与控制 · 电气工程与系统科学 2022-04-04 Noel Csomay-Shanklin , Andrew J. Taylor , Ugo Rosolia , Aaron D. Ames

This paper proposes vehicle motion planning methods with obstacle avoidance in tight spaces by incorporating polygonal approximations of both the vehicle and obstacles into a model predictive control (MPC) framework. Representing these…

机器人学 · 计算机科学 2025-05-09 Haruki Kojima , Kohei Honda , Hiroyuki Okuda , Tatsuya Suzuki
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