Quantization-Mitigation-Based Trajectory Control for Euler-Lagrange Systems with Unknown Actuator Dynamics [PDF]
Sensors, 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
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Fractional Euler-Lagrange Equations Applied to Oscillatory Systems [PDF]
Mathematics, 2015 In this paper, we applied the Riemann-Liouville approach and the fractional Euler-Lagrange equations in order to obtain the fractional nonlinear dynamic equations involving two classical physical applications: “Simple Pendulum” and the “Spring-Mass ...
Sergio Adriani David +1 more
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Sampled-data velocity-free consensus of Multiple Euler-Lagrange systems under irregular communication delays. [PDF]
PLoS ONEThis 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
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Fixed-time synchronization of networked uncertain Euler–Lagrange systems
Automatica, 2022 This paper considers the fixed-time control problem of a multi-agent system composed of a class of Euler-Lagrange dynamics with parametric uncertainty and a dynamic leader under a directed communication network. A distributed fixed-time observer is first proposed to estimate the desired trajectory and then a fixed-time controller is constructed by ...
Yi Dong, Zhiyong Chen
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An Efficient Fault Tolerant Control Scheme for Euler–Lagrange Systems
International Journal of Applied Mathematics and Computer Science, 2023 Every closed-loop system holds a level of fault tolerance, which could be increased by using a fault tolerant control (FTC) scheme. In this paper, an efficient FTC scheme for a class of nonlinear systems (Euler–Lagrange ones) is proposed, which ...
Leal-Leal Ivon E., Alcorta-Garcia Efrain
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Noether’s theorem for Herglotz type variational problems utilizing complex fractional derivatives [PDF]
Theoretical 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
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Leader-Following Consensus of Multiple Euler-Lagrange Systems Under Deception Attacks
IEEE 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
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Safe-by-design control for Euler–Lagrange systems
Automatica, 2022 For accompanying code see: https://github.com/shawcortez/safe-control-euler ...
Wenceslao Shaw-Cortez +1 more
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Fractional Complex Euler–Lagrange Equation: Nonconservative Systems
Fractal 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
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Nonlocal constants of motion in Lagrangian Dynamics of any order
Partial 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
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