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This work proposes a unified Hierarchical Model Predictive Control (H-MPC) for modular manipulators across various morphologies, as the controller can adapt to different configurations to execute the given task without extensive parameter…

机器人学 · 计算机科学 2025-08-20 Maolin Lei , Edoardo Romiti , Arturo Laurenzi , Cheng Zhou , Wanli Xing , Liang Lu , Nikos G. Tsagarakis

Modern Lightweight robots are constructed to be collaborative, which often results in a low structural stiffness compared to conventional rigid robots. Therefore, the controller must be able to handle the dynamic oscillatory effect mainly…

机器人学 · 计算机科学 2025-05-28 Maged Iskandar , Christiaan van Ommeren , Xuwei Wu , Alin Albu-Schaffer , Alexander Dietrich

The nonlinear mechanics of a flexible elastic rod constrained at its edges by a pair of sliding sleeves is analyzed. The planar equilibrium configurations of this variable-length elastica are found to have shape defined only by the…

软凝聚态物质 · 物理学 2024-09-19 Alessandro Cazzolli , Francesco Dal Corso

We investigate the small-time local controllability (STLC) near the ground state of a bilinear Schr\"odinger equation when the linearized system is not controllable. It is well known that, for single-input systems, quadratic terms in the…

最优化与控制 · 数学 2025-03-25 Théo Gherdaoui

This paper investigates adaptive control of nonlinear robot manipulators with parametric uncertainty. Motivated by generating closed-loop robot dynamics with enhanced transmission capability of a reference torque and with connection to…

系统与控制 · 电气工程与系统科学 2022-01-06 Hanlei Wang

The mechanical simplicity, hover capabilities, and high agility of quadrotors lead to a fast adaption in the industry for inspection, exploration, and urban aerial mobility. On the other hand, the unstable and underactuated dynamics of…

机器人学 · 计算机科学 2022-02-11 Fang Nan , Sihao Sun , Philipp Foehn , Davide Scaramuzza

Underactuated robots are characterized by a larger number of degrees of freedom than actuators and if they are designed with a specific mass distribution, they can be controlled by means of differential flatness theory. This structural…

机器人学 · 计算机科学 2026-04-21 Stefano Lovato , Michele Tonan , Matteo Bottin , Matteo Massaro , Alberto Doria , Giulio Rosati

Structural controllability challenges arise from imprecise system modeling and system interconnections in large scale systems. In this paper, we study structural control of bilinear systems on the special Euclidean group. We employ graph…

最优化与控制 · 数学 2024-06-18 A. Sanand Amita Dilip , Chirayu D. Athalye

Strichartz estimates, well-posedness theory and long time behavior for (nonlinear) Schr\"odinger equations on waveguide manifolds $\mathbb{R}^m \times \mathbb{T}^n$ are intensively studied in recent decades while the corresponding control…

偏微分方程分析 · 数学 2025-02-20 Jingrui Niu , Zehua Zhao

We consider nonlinear scalar-input differential control systems in the vicinity of an equilibrium. When the linearized system at the equilibrium is controllable, the nonlinear system is smoothly small-time locally controllable, i.e.,…

最优化与控制 · 数学 2017-05-24 Karine Beauchard , Frédéric Marbach

Local exact controllability of the 1D NLS (subject to zero boundary conditions) with distributed control is shown to hold in a $H^1$--neighbourhood of the nonlinear ground state. The Hilbert Uniqueness Method (HUM), due to J.-L. Lions, is…

最优化与控制 · 数学 2007-05-23 Horst Lange , Holger Teismann

This paper develops a new approach to small time local attainability of smooth manifolds of any dimension, possibly with boundary and to prove H\"older continuity of the minimum time function. We give explicit pointwise conditions of any…

最优化与控制 · 数学 2023-04-21 Pierpaolo Soravia

Collaborative robots and space manipulators contain significant joint flexibility. It complicates the control design, compromises the control bandwidth, and limits the tracking accuracy. The imprecise knowledge of the flexible joint…

机器人学 · 计算机科学 2020-03-12 Shuyang Chen , John Wen

In this paper, we propose an adaptive control law for completely unknown scalar linear systems based on Lie-bracket approximation methods. We investigate stability and convergence properties for the resulting Lie-bracket system, compare our…

最优化与控制 · 数学 2021-10-26 Marc Weber , Christian Ebenbauer , Bahman Gharesifard

Approximate controllability of the Euler equations is investigated by means of a finite set of actuators. It is proven that approximate controllability holds if we can find a saturating subset of actuators. The notion of saturating set is…

最优化与控制 · 数学 2025-04-17 Sérgio S. Rodrigues

In this paper, we study the target controllability problem of networked dynamical systems, in which we are tasked to steer a subset of network states towards a desired objective. More specifically, we derive necessary and sufficient…

最优化与控制 · 数学 2018-09-25 Jingqi Li , Ximing Chen , Sérgio Pequito , George J. Pappas , Victor M. Preciado

This paper focuses on the kinematic properties of a new three-degree-of-freedom hybrid manipulator. This manipulator is obtained by adding in series to a five-bar planar mechanism (similar to the one studied by Bajpai and Roth) a third…

机器人学 · 计算机科学 2007-05-23 Damien Chablat , Philippe Wenger , Jorge Angeles

Ensuring nominal asymptotic stability of the Nonlinear Model Predictive Control controller is not trivial. Stabilizing ingredients such as terminal penalty term and terminal region are crucial in establishing the asymptotic stability.…

系统与控制 · 电气工程与系统科学 2021-08-03 Chinmay Rajhans , Sowmya Gupta

We are motivated by the problem of control for a non-homogeneous elastic string with memory. We reduce the problem of controllability to a non-standard moment problem. The solution of the latter problem is based on an auxiliary Riesz basis…

最优化与控制 · 数学 2011-10-28 Sergei A. Avdonin , Boris P. Belinskiy

This paper proposes a notion termed perturbation-tolerant structural controllability (PTSC) to study the generic property of controllability preservation/resilience of structured linear systems under structured perturbations. A structured…

最优化与控制 · 数学 2024-02-13 Yuan Zhang , Yuanqing Xia , Gang Wang , Jinhui Zhang