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Quantization-Mitigation-Based Trajectory Control for Euler-Lagrange Systems with Unknown Actuator Dynamics [PDF]

open access: yesSensors, 2020
In this paper, we investigate a trajectory control problem for Euler-Lagrange systems with unknown quantization on the actuator channel. To address such a challenge, we proposed a quantization-mitigation-based trajectory control method, wherein adaptive ...
Yi Lyu, Qiyu Yang, Patrik Kolaric
doaj   +2 more sources

Sampled-data velocity-free consensus of Multiple Euler-Lagrange systems under irregular communication delays. [PDF]

open access: yesPLoS ONE
This paper addresses the challenging problem of achieving sampled-data, velocity-free consensus for multiple Euler-Lagrange systems under irregular communication delays.
Yilin Wang, Jiahao Dai, Pengfei Zhang
doaj   +2 more sources

Noether’s theorem for Herglotz type variational problems utilizing complex fractional derivatives [PDF]

open access: yesTheoretical and Applied Mechanics, 2021
This is a review article which elaborates the results presented in [1], where the variational principle of Herglotz type with a Lagrangian that depends on fractional derivatives of both real and complex orders is formulated and the invariance of this ...
Janev Marko   +2 more
doaj   +1 more source

Leader-Following Consensus of Multiple Euler-Lagrange Systems Under Deception Attacks

open access: yesIEEE Access, 2021
In this paper, the leader-following consensus problem of a multi-Euler-Lagrange system is studied under deception attacks, where attackers can inject the false data into the data being exchanged over the communication network between two Euler-Lagrange ...
Lizhang Wang   +3 more
doaj   +1 more source

Fractional Complex Euler–Lagrange Equation: Nonconservative Systems

open access: yesFractal and Fractional, 2023
Classical forbidden processes paved the way for the description of mechanical systems with the help of complex Hamiltonians. Fractional integrals of complex order appear as a natural generalization of those of real order.
Antonela Toma, Octavian Postavaru
doaj   +1 more source

Nonlocal constants of motion in Lagrangian Dynamics of any order

open access: yesPartial Differential Equations in Applied Mathematics, 2022
We describe a recipe to generate “nonlocal” constants of motion for ODE Lagrangian systems. As a sample application, we recall a nonlocal constant of motion for dissipative mechanical systems, from which we can deduce global existence and estimates of ...
Gianluca Gorni   +2 more
doaj   +1 more source

Sampled-Data Consensus for Networked Euler-Lagrange Systems With Differentiable Scaling Functions

open access: yesIEEE Access, 2021
This paper is concerned with the sampled-data consensus of networked Euler-Lagrange systems. The Euler-Lagrange system has enormous advantages in analyzing and designing dynamical systems.
Yilin Wang   +3 more
doaj   +1 more source

Centralized Control in Networks of Underactuated Nonidentical Euler–Lagrange Systems Using a Generalised Multicoordinates Transformation

open access: yesIEEE Access, 2022
Controlling the network of underactuated Euler–Lagrange (EL) systems is challenging because of their coupled inertia matrices and time-variant control input matrices. We present generalized multi-coordinates transformation that renders the network
Babak Salamat, Gerhard Elsbacher
doaj   +1 more source

Pulse-Modulated Sampled-Data Second-Order Consensus for Multiple Euler-Lagrange Systems Without Neighbors’ Velocity Measurement

open access: yesIEEE Access, 2023
This paper studies the sampled-data second-order consensus of multiple Euler-Lagrange systems without knowing neighbors’ velocities. The second-order feedback control method of the Euler-Lagrange system naturally excludes the infinities in the ...
Yilin Wang   +3 more
doaj   +1 more source

Sampled-Data Consensus of Networked Euler-Lagrange Systems: A Discrete Small-Gain Approach

open access: yesIEEE Access, 2021
This paper studies the sampled-data consensus of networked Euler-Lagrange systems. The sampled-data feedback causes infinities at sampling instants in the control input due to the differentiation of the feedback by the conventional control law designed ...
Yilin Wang   +4 more
doaj   +1 more source

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