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Multi-stage forceful manipulation tasks, such as twisting a nut on a bolt, require reasoning over interlocking constraints over discrete as well as continuous choices. The robot must choose a sequence of discrete actions, or strategy, such…

Robotics · Computer Science 2021-05-11 Rachel Holladay , Tomás Lozano-Pérez , Alberto Rodriguez

We study the behaviour of discrete dynamical systems generated by a continuous map $f$ of a compact real interval into itself where at randomly chosen times a function different from $f$ - so called impulse function is applied. We show that…

Dynamical Systems · Mathematics 2024-10-25 J. Kováč , J. Veselý , K. Janková

Self-oscillatory and self-rotatory process driven by non-conservative forces have usually been treated as applications of the concepts of Hopf bifurcation and limit cycle in the theory of differential equations, or as instability problems…

Classical Physics · Physics 2018-06-06 Carlos D. Díaz-Marín , Alejandro Jenkins

We present in-hand manipulation tasks where a robot moves an object in grasp, maintains its external contact mode with the environment, and adjusts its in-hand pose simultaneously. The proposed manipulation task leads to complex contact…

Robotics · Computer Science 2024-03-29 Boyuan Liang , Kei Ota , Masayoshi Tomizuka , Devesh Jha

This paper presents the control and stabilization of the rotary inverted pendulum based on a general controller scheme. The proposed scheme has its foundation in classical control theory, and the importance of an integrator in disturbance…

Systems and Control · Electrical Eng. & Systems 2022-09-07 Justin Jacob , Navin Khaneja

Orbits in different dispersive billiard systems, e.g. the 3 disk system, are mapped into a topological well ordered symbol plane and it is showed that forbidden and allowed orbits are separated by a monotone pruning front. The pruning front…

chao-dyn · Physics 2009-10-22 Kai T. Hansen

Spinning flexible objects, exemplified by traditional Chinese handkerchief performances, demands periodic steady-state motions under nonlinear dynamics with frictional contacts and boundary constraints. To address these challenges, we first…

Aerial manipulation for safe physical interaction with their environments is gaining significant momentum in robotics research. In this paper, we present a disturbance-observer-based safety-critical control for a fully actuated aerial…

Robotics · Computer Science 2025-01-29 Jeonghyun Byun , Yeonjoon Kim , Dongjae Lee , H. Jin Kim

Motion planning schemes are used for planning motions of a manipulator from an initial pose to a final pose during a task execution. A motion planning scheme generally comprises of a trajectory planning method and an inverse kinematic…

Robotics · Computer Science 2025-12-04 Shifa Sulaiman , Amarnath H , Simon Bogh , Naresh Marturi

The main objective of this paper is to propose an alternative procedure to carry out one of the key steps of immersion and invariance stabilising controller design. Namely, the one that ensures attractivity of the manifold whose internal…

Systems and Control · Computer Science 2016-11-18 Lei Wang , Fulvio Forni , Romeo Ortega , Hongye Su

Metriplectic dynamics couple a Poisson bracket of the Hamiltonian description with a kind of metric bracket, for describing systems with both Hamiltonian and dissipative components. The construction builds in asymptotic convergence to a…

Classical Physics · Physics 2018-07-04 Massimo Materassi , Philip J. Morrison

This paper applies the recently developed framework for integral control on nonlinear spaces to two non-standard cases. First, we show that the property of perfect target stabilization in presence of actuation bias holds also if this bias…

Optimization and Control · Mathematics 2016-03-18 Zhifei Zhang , Zhihao Ling , Alain Sarlette

If one wants to explore the properties of a dynamical system systematically one has to be able to track equilibria and periodic orbits regardless of their stability. If the dynamical system is a controllable experiment then one approach is…

Dynamical Systems · Mathematics 2009-03-19 Jan Sieber , Bernd Krauskopf

A novel model for dynamical traps in intermittent human control is proposed. It describes probabilistic, step-wise transitions between two modes of a subject's behavior - active and passive phases in controlling an object's dynamics - using…

Adaptation and Self-Organizing Systems · Physics 2025-03-04 Vasily Lubashevskiy , Ihor Lubashevsky , Namik Gusein-zade

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…

Systems and Control · Electrical Eng. & Systems 2022-01-06 Hanlei Wang

We examine a strange chaotic attractor and its unstable periodic orbits in case of one degree of freedom nonlinear oscillator with non symmetric potential. We propose an efficient method of chaos control stabilizing these orbits by a…

Chaotic Dynamics · Physics 2015-06-26 G. Litak , M. Ali , L. M. Saha

Aerial manipulator, which is composed of an UAV (Unmanned Aerial Vehicle) and a multi-link manipulator and can perform aerial manipulation, has shown great potential of applications. However, dynamic coupling between the UAV and the…

Robotics · Computer Science 2024-01-12 Guangyu Zhang , Yuqing He , Bo Dai , Feng Gu , Jianda Han , Guangjun Liu

A novel fast multi-impulse optimization method for long-duration perturbed orbit rendezvous is proposed. First, based on the analytically estimated impulses, the terminal rendezvous deviation with precise dynamics model can be predicted.…

Chaotic Dynamics · Physics 2021-08-11 An-yi Huang , Ya-zhong Luo , Heng-nian Li

Rearranging objects on a tabletop surface by means of nonprehensile manipulation is a task which requires skillful interaction with the physical world. Usually, this is achieved by precisely modeling physical properties of the objects,…

Robotics · Computer Science 2018-09-21 Weihao Yuan , Johannes A. Stork , Danica Kragic , Michael Y. Wang , Kaiyu Hang

This paper investigates manipulability of interactive Lagrangian systems with parametric uncertainty and communication/sensing constraints. Two standard examples are teleoperation with a master-slave system and teaching operation of robots.…

Systems and Control · Computer Science 2021-12-09 Hanlei Wang