A Finite-Time Sliding Mode Control Approach for Constrained Euler–Lagrange System [PDF]
Mathematics, 2023 This paper investigates a general control strategy to track the reference trajectory for the constrained Euler–Lagrange system with model uncertainties and unknown external disturbances.
Guhao Sun, Qingshuang Zeng
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Conserved quantities of Euler-Lagrange system via complex Lagrangian [PDF]
Heliyon, 2023 In this work we use complex Lagrangian technique to obtain Noether-like operators and the associated conserved quantities of an Euler-Lagrange (EL) system.
M. Umar Farooq, Anum Naseem, C. Wafo Soh
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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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Trajectory Tracking Control of Euler–Lagrange Systems Using a Fractional Fixed-Time Method
Fractal and Fractional, 2023 The results of this research provide fixed-time fractional-order control for Euler–Lagrange systems that are subject to external disturbances. The first step in the process of developing a new system involves the introduction of a method known as ...
Saim Ahmed +3 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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Non-Transformed Prescribing Performance Function and Finite-Time RISE-Based Tracking Control for Euler-Lagrange Systems [PDF]
IEEE Access, 2020 This study addressed the issues of providing an enhanced prescribed performance control technique and a finite-time convergence of the conventional robust integral of the sign of the error (RISE) control method and for Euler-Lagrange systems. An improved
Seongik Han
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The Euler–Lagrange Cohomology and General Volume-Preserving Systems [PDF]
Modern Physics Letters A, 2003 We briefly introduce the concept of Euler–Lagrange cohomology groups on a symplectic manifold (ℳ2n, ω) and systematically present the general form of volume-preserving equations on the manifold from the cohomological point of view. It is shown that for every volume-preserving flow generated by these equations there is an important two-form that plays ...
Bin Zhou +3 more
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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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Distributed Prescribed Performance Formation Tracking for Unknown Euler-Lagrange Systems Under Input Saturation. [PDF]
Sensors (Basel)Gkesoulis AK +3 more
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IEEE 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
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