The Effect of the Electrode Position on the Dynamic Behavior of an Electrostatically Actuated Microcantilever

Eshag, Mohamed Ahmed; Zarog, Musaab

doi:10.2478/auseme-2019-0003

Cited by 2 publications

(2 citation statements)

References 6 publications

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“…Step (4): Solving the resulted ODE system by MATLAB to obtain the solution of the Timoshenko beam dynamics.…”

Section: B Dynamics Solution Of Timoshenko Beammentioning

confidence: 99%

“…Flexible robotic manipulator systems are frequently used in a diversity of industrial fields such as moving strings, variable marine risers, and drill chains [1]- [4]. The Timoshenko beam is a type of flexible robotic manipulator which is an infinite dimensional system composed of one non-homogenous partial differential equation (PDE), one homogenous PDE, and three ordinary differential equations (ODEs).…”

Section: Introductionmentioning

confidence: 99%

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Robust Global Boundary Vibration Control of Uncertain Timoshenko Beam With Exogenous Disturbances

Eshag

Sun

et al. 2020

IEEE Access

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In this paper, the dynamics solution problem and the boundary control problem for the Timoshenko beam under uncertainties and exogenous disturbances are addressed. The dynamics of the Timoshenko beam are represented by one non-homogenous hyperbolic partial differential equation (PDE), one homogenous hyperbolic PDE, and three ordinary differential equations (ODEs). The authors suggest a method of lines (MOL) for obtaining the dynamics of the Timoshenko beam in the form of the ODE formula instead of the PDE formula. A global sliding mode boundary control (GSMBC) is designed for vibration reduction of the Timoshenko beam influenced by uncertainties, distributed disturbance, displacement boundary disturbance, and rotation boundary disturbance. Chattering phenomena are avoided by using exponential reaching law reinforced by a relay function. Along the time and position axis: a) the boundary displacements and rotation of the Timoshenko beam are converged to equilibrium; b) the distributed vibrations on both displacements and rotation axis of the Timoshenko are attenuated; c) influence of the exogenous disturbances and system parameters uncertainties are compensated. By using the Lyapunov direct approach, exponential convergence and robustness of the closed-loop system are guaranteed. Finally, simulations are carried out to show that the proposed GSMBC-based MOL scheme is effective for vanishing the vibrations of the Timoshenko beam under uncertainties and external disturbances. INDEX TERMS Boundary control, distributed parameter system (DPS), global sliding mode control (GSMC), method of lines (MOL), partial differential equation (PDE), Timoshenko beam.

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“…Step (4): Solving the resulted ODE system by MATLAB to obtain the solution of the Timoshenko beam dynamics.…”

Section: B Dynamics Solution Of Timoshenko Beammentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Robust Global Boundary Vibration Control of Uncertain Timoshenko Beam With Exogenous Disturbances

Eshag

Sun

et al. 2020

IEEE Access

Self Cite

View full text Add to dashboard Cite

show abstract

Robust Boundary Vibration Control of Uncertain Flexible Robot Manipulator with Spatiotemporally-varying Disturbance and Boundary Disturbance

Eshag

Sun

et al. 2020

Int. J. Control Autom. Syst.

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The Effect of the Electrode Position on the Dynamic Behavior of an Electrostatically Actuated Microcantilever

Cited by 2 publications

References 6 publications

Robust Global Boundary Vibration Control of Uncertain Timoshenko Beam With Exogenous Disturbances

Robust Global Boundary Vibration Control of Uncertain Timoshenko Beam With Exogenous Disturbances

Robust Boundary Vibration Control of Uncertain Flexible Robot Manipulator with Spatiotemporally-varying Disturbance and Boundary Disturbance

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