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相关论文: Virtual Holonomic Constraints in Motion Planning: …

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This article investigates the problem of enforcing a virtual holonomic constraint (VHC) on a mechanical system with degree of underactuation one while simultaneously stabilizing a closed orbit on the constraint manifold. This problem, which…

动力系统 · 数学 2023-06-01 Alireza Mohammadi , Manfredi Maggiore , Luca Consolini

We propose a new description of dynamics of autonomous mechanical systems which includes the momentum-velocity relation. This description is formulated as a variational principle of virtual action more complete than the Hamilton Principle.…

数学物理 · 物理学 2007-05-23 Wlodzimierz M. Tulczyjew

Virtual constraints are invariant relations imposed on a control system via feedback as opposed to real physical constraints acting on the system. Nonholonomic systems are mechanical systems with non-integrable constraints on the…

系统与控制 · 电气工程与系统科学 2022-07-05 Alexandre Anahory Simoes , Efstratios Stratoglou , Anthony Bloch , Leonardo J. Colombo

Spacecraft relative motion planning is concerned with the design and execution of maneuvers relative to a nominal target. These types of maneuvers are frequently utilized in missions such as rendezvous and docking, satellite inspection and…

Virtual constraints are relations imposed on a control system that become invariant via feedback control, as opposed to physical constraints acting on the system. Nonholonomic systems are mechanical systems with non-integrable constraints…

The paper studies the problem of making Getz's bicycle model traverse a strictly convex Jordan curve with bounded roll angle and bounded speed. The approach to solving this problem is based on the virtual holonomic constraint (VHC) method.…

最优化与控制 · 数学 2013-05-27 Luca Consolini , Manfredi Maggiore

The problem of orbital stabilization of underactuated mechanical systems with one passive degree-of-freedom (DOF) is revisited. Virtual holonomic constraints are enforced using a continuous controller; this results in a dense set of closed…

系统与控制 · 电气工程与系统科学 2020-12-21 Nilay Kant , Ranjan Mukherjee

This paper presents a flight control design for compound Vertical Takeoff and Landing (VTOL) vehicles. With their multitude of degrees of controllability as well as the significant variations in their flight characteristics, VTOL vehicles…

系统与控制 · 电气工程与系统科学 2024-05-28 Jean-Marie Kai

In this paper, we address the problem of stabilizing a system around a desired manifold determined by virtual nonlinear nonholonomic constraints. Virtual constraints are relationships imposed on a control system that are rendered invariant…

系统与控制 · 电气工程与系统科学 2025-02-07 Efstratios Stratoglou , Alexandre Anahory Simoes , Anthony Bloch , Leonardo Colombo

Virtual constraints are relations imposed in a control system that become invariant via feedback, instead of real physical constraints acting on the system. Nonholonomic systems are mechanical systems with non-integrable constraints on the…

最优化与控制 · 数学 2023-01-11 Efstratios Stratoglou , Alexandre Anahory Simoes , Anthony Bloch , Leonardo Colombo

Vector fields are advantageous in handling nonholonomic motion planning as they provide reference orientation for robots. However, additionally incorporating curvature constraints becomes challenging, due to the interconnection between the…

系统与控制 · 电气工程与系统科学 2025-12-02 Yike Qiao , Xiaodong He , An Zhuo , Zhiyong Sun , Weimin Bao , Zhongkui Li

We first present a way to formulate the equations of motion for a nonholonomic system with nonlinear constraints with respect to the velocities. The formulation is based on the Cetaev condition which aims to extend the practical method of…

经典物理 · 物理学 2023-05-31 Federico Talamucci

This paper addresses the trajectory tracking control problem for underactuated VTOL UAVs. According to the different actuation mechanisms, the most common UAV platforms can achieve only a partial decoupling of attitude and position tasks.…

最优化与控制 · 数学 2019-04-11 Davide Invernizzi , Marco Lovera , Luca Zaccarian

The control problem of realizing propeller motion of a devil-stick in the vertical plane using impulsive forces applied normal to the stick is considered. This problem is an example of underactuated robotic juggling and has not been…

系统与控制 · 电气工程与系统科学 2025-08-22 Aakash Khandelwal , Ranjan Mukherjee

Motivated by the application of using model predictive control (MPC) for motion planning of autonomous mobile robots, a form of output tracking MPC for non-holonomic systems and with non-convex constraints is studied. Although the…

机器人学 · 计算机科学 2025-10-22 Matthias Lorenzen , Teodoro Alamo , Martina Mammarella , Fabrizio Dabbene

In this paper, we give sufficient conditions for and deduce a control law under which a mechanical control system converges exponentially fast to a virtual linear nonholonomic constraint that is control invariant via the same feedback…

最优化与控制 · 数学 2024-11-05 Alexandre Anahory Simoes , Anthony Bloch , Leonardo Colombo , Efstratios Stratoglou

In this paper we provide an optimal control based strategy to explore feasible trajectories of nonlinear systems, that is to find curves that satisfy the dynamics as well as point-wise state-input constraints. The strategy is interesting…

最优化与控制 · 数学 2011-12-06 Giuseppe Notarstefano , John Hauser

This paper focuses on the motion planning for mobile robots in 3D, which are modelled by 6-DOF rigid body systems with nonholonomic kinematics constraints. We not only specify the target position, but also bring in the requirement of the…

机器人学 · 计算机科学 2023-04-11 Xiaodong He , Weijia Yao , Zhiyong Sun , Zhongkui Li

Reliable real-time planning for robots is essential in today's rapidly expanding automated ecosystem. In such environments, traditional methods that plan by relaxing constraints become unreliable or slow-down for kinematically constrained…

机器人学 · 计算机科学 2020-08-13 Jacob J. Johnson , Linjun Li , Fei Liu , Ahmed H. Qureshi , Michael C. Yip

This paper proposes a novel and efficient optimization-based method for generating near time-optimal trajectories for holonomic vehicles navigating through complex but structured environments. The approach aims to solve the problem of…

最优化与控制 · 数学 2026-02-04 Louis Callens , Bastiaan Vandewal , Ibrahim Ibrahim , Jan Swevers , Wilm Decré
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