scholarly journals Observation and Identification of Mechanical Systems via Second Order Sliding Modes

2006 ◽  
Author(s):  
J. Davila ◽  
L. Fridman ◽  
A. Poznyak
Keyword(s):  
Mechanical Systems ◽  
Second Order ◽  
Sliding Modes

scholarly journals Observation and identification of mechanical systems via second order sliding modes

2006 ◽  
Vol 79 (10) ◽  
pp. 1251-1262 ◽  
Author(s):  
J. Davila ◽  
L. Fridman ◽  
A. Poznyak
Keyword(s):  
Mechanical Systems ◽  
Second Order ◽  
Sliding Modes

scholarly journals Recovering of the Membrane Profile of an Electrostatic Circular MEMS by a Three-Stage Lobatto Procedure: A Convergence Analysis in the Absence of Ghost Solutions

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 487 ◽  
Author(s):  
Mario Versaci ◽  
Giovanni Angiulli ◽  
Alessandra Jannelli
Keyword(s):  
Convergence Analysis ◽  
Electrostatic Field ◽  
Mean Curvature ◽  
Mechanical Systems ◽  
Numerical Approach ◽  
Second Order ◽  
Circular Membrane ◽  
Differential Model ◽  
The Mean

In this paper, a stable numerical approach for recovering the membrane profile of a 2D Micro-Electric-Mechanical-Systems (MEMS) is presented. Starting from a well-known 2D nonlinear second-order differential model for electrostatic circular membrane MEMS, where the amplitude of the electrostatic field is considered proportional to the mean curvature of the membrane, a collocation procedure, based on the three-stage Lobatto formula, is derived. The convergence is studied, thus obtaining the parameters operative ranges determining the areas of applicability of the device under analysis.

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