Fuzzy Sliding Mode Control with Moving Sliding Surface of Rotary Inverted Pendulum by Oğuz Yakut, Muhammet Aydın

“…From the results, it was seen that the pendulum angle reached the desired reference value around the first second and the error was approximately zero. …”
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Some Novel Solutions to a Quadratically Damped Pendulum Oscillator: Analytical and Numerical Approximations by Alvaro H. Salas, Wedad Albalawi, M. R. Alharthi, S. A. El-Tantawy

“…In this paper, some novel analytical and numerical techniques are introduced for solving and analyzing nonlinear second-order ordinary differential equations (ODEs) that are associated to some strongly nonlinear oscillators such as a quadratically damped pendulum equation. …”
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An Application of DC Motor Modelled Classical Sliding Mode Control with Moving Sliding Surface to Rotary Inverted Pendulum System by Muhammet Aydın, Oğuz Yakut

“…The findings showed that the inaccuracy was roughly zero and that the pendulum angle took around 1.5 seconds to reach the intended reference value. …”
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A nonlinear second order problem with a nonlocal boundary condition

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A nonlinear second order problem with a nonlocal boundary condition by P. Amster, P. De Nápoli

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DYNAMIC ANALYSIS OF FPB ISOLATED BRIDGES BASED ON SIMPLIFIED MECHANICAL MODEL by LI Bing, WANG ShaoHua, DENG Bin

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Balance Design and Optimization of Swing Force of the New Spatial 1T1R Parallel Mechanism by Wang Linping, Shen Huiping, Li Ju, Nie Yabiao, Chen Bingwei

“…Then, according to the mass moment balance condition, the complete balance equations of pendulum force are derived, the counterweight parameters of each branch member are obtained, and the complete balance effect is verified. …”
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Design of Robust Supertwisting Algorithm Based Second-Order Sliding Mode Controller for Nonlinear Systems with Both Matched and Unmatched Uncertainty by Marwa Jouini, Slim Dhahri, Anis Sellami

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Adaptive Parameter Approaching Law-Based Sliding Mode Control for Wheeled Robots by Ming Hou, Limeng Jia, Zhengqin Wang

“…A method combining adaptive parameter approaching law with Radial Basis Function (RBF) neural network hierarchical sliding mode control is proposed to address the issues of low accuracy and significant oscillations during the trajectory tracking process of wheeled inverted pendulum robots (WIPR) with nonlinear underactuation characteristics. …”
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A REVIEW OF INERTIAL TENSOR MEASUREMENT RESEARCH by ZHAO He, MA WeiPing, YANG HongTao

“…The inertia tensor is a measure of the rotational inertia of a rigid body when it rotates around a fixed point,and it is a key parameter in the design of control systems.The recent development of aircraft technology has made the need to accurately measure the inertia tensor of large⁃size irregular objects very urgent.Firstly,the research history and current problems of inertia tensor measurement were reviewed,and the measurement principles of methods such as the torsion pendulum method,the compound pendulum method,the energy method,and the parameter method were discussed respectively.Secondly,the issues such as the sources of measurement errors and error compensation that need to be faced when these measurement methods measure the inertia tensor of large⁃size irregular bodies were explored.Finally,the development history of inertia tensor measurement and point out the current problems and the follow⁃up research directions was summarized.…”
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Effects of Gyroscope on Arm Swing and Gait in Healthy Volunteers by Meriç Selim Şipal, Elif Yalçın, Aynur Ayşe Karaduman

“…As a main purpose, a gyroscope was used to increase arm swing during pendulum exercise and walking. Methods. Thirty healthy volunteers were included in the study. …”
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The Dynamical Behavior of a Rigid Body Relative Equilibrium Position by T. S. Amer

“…In this paper, we will focus on the dynamical behavior of a rigid body suspended on an elastic spring as a pendulum model with three degrees of freedom. It is assumed that the body moves in a rotating vertical plane uniformly with an arbitrary angular velocity. …”
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Prey-Taxis vs. An External Signal: Short-Wave Asymptotic and Stability Analysis by Andrey Morgulis, Karrar H. Malal

“…Such an approach refers back to Kapitza’s theory for an upside-down pendulum. The overall conclusion is that the external signal is likely not capable of creating the instability domain in the parametric space from nothing but it can substantially widen the one that is non-empty with no signal.…”
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Transcranial Magnetic Stimulation on spasticity in Multiple Sclerosis – protocol for a feasibility study for a randomized, crossover clinical trial by Fernanda Ishida Corrêa, Amanda Cristina da Silva Reis, Bruno Paulino Venâncio, João Carlos Ferrari Corrêa

“…The first session will be randomized to receive high (≥5Hz) or low frequency (≤1Hz) TMS over the left motor cortex; after one week they will receive the second session, which will be the opposite. Spasticity will be assessed bilaterally, before and after each intervention, using the Ashworth scale, the latency of TMS to the quadriceps muscles, the amplitude of the motor evoked potential, the central motor conduction time, the latency time of the patellar reflex, and the amplitude of the quadriceps pendulum test. …”
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Flexible Model Predictive Control for Bounded Gait Generation in Humanoid Robots by Tianbo Yang, Yuchuang Tong, Zhengtao Zhang

“…Traditional Model Predictive Control (MPC) methods based on Linear Inverted Pendulum (LIP) or Cart–Table (C-T) methods are straightforward and linear but inadequate for robots with flexible joints and linkages. …”
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