Nonlinear Robust Adaptive Multi-Modal Vibration Control of Bi-Electrode Micro-Switch with Constraints on the Input

Mohammadi, Mohsen; Eghtesad, Mohammad; Mohammadi, Hossein; Necsulescu, D.

doi:10.3390/mi8090263

Cited by 6 publications

(4 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where 0 = 8.85 × 10 −12 Fm −1 is the permittivity of free space and w the lateral displacement of each point on the physical neutral plane. The Casimir force per unit length is also obtained as [41,42]:…”

Section: Micro-resonator On a Fixed Foundation (First Model)mentioning

confidence: 99%

On the tuning of static pull-in instability and nonlinear vibrations of functionally graded micro-resonators with three different configurations

Mousavi

Sharifi

Fattahi

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

Self Cite

View full text Add to dashboard Cite

In this paper, the vibrational behavior of a functionally graded (FG) micro-resonator is investigated for three different configurations based on the Euler-Bernoulli beam model and the Von Karman nonlinear strain assumption. The three configurations include: (1) an FG micro-resonator with a fixed foundation, (2) piezoelectric layers added to the first model, and (3) a second fixed foundation added to the first model. These investigations are performed under the effect of electrostatic forces, the forces caused by the deformations of piezoelectric layers due to the applied voltage, Casimir forces, and uniform temperature changes. The equations governing the vibrational behaviors are obtained using the Hamilton's principle and the modified couple stress theory. Static deformations and the fundamental vibrational mode are calculated using the differential quadrature method in the spatial domain for all three configurations. Furthermore, the dynamic equations are obtained from the Galerkin discretization and solved with multiple time scales technique. The results show that the frequency behavior of a micro-resonator can be adjusted using the three models.

show abstract

Section: Micro-resonator On a Fixed Foundation (First Model)mentioning

confidence: 99%

On the tuning of static pull-in instability and nonlinear vibrations of functionally graded micro-resonators with three different configurations

Mousavi

Sharifi

Fattahi

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Over the past years, a number of robust and adaptive control techniques have been proposed for uncertain nonlinear systems [1][2][3][4][5][6][7]. Sliding mode control (SMC), due to its robustness against parameter variations and simplicity for handling nonlinear systems with bounded external disturbances, has received much attention [8,9].…”

Section: Introductionmentioning

confidence: 99%

Nonsingular decoupled terminal sliding-mode control for a class of fourth-order under-actuated nonlinear systems with unknown external disturbance

et al. 2020

Self Cite

View full text Add to dashboard Cite

This study is concerned with the design of a nonsingular decoupled terminal sliding mode controller for a class of fourth-order under-actuated uncertain nonlinear systems with unknown external disturbance. For the unmeasured disturbance, a disturbance observer with finite-time convergence of estimation error to zero is proposed. The nonsingular decoupled terminal sliding mode controller is designed by utilizing the output of the proposed disturbance observer. Also, an input saturation constraint and control singularity are considered in the controller design. The finite-time stability and convergence of the disturbance observer are proved for the closed-loop system. In addition, the control of an electrostatically actuated Timoshenko nanobeam subjected to Casimir force is simulated to demonstrate the effectiveness and performance of the proposed control scheme.

show abstract

“…Attracted by the above observations, the utilization of closed loop control strategies to reduce and even compensate the effects of uncertainties and disturbances for the characterization of MEM devices have shown to be successful in increasing their efficiency [27][28][29][30][31][32][33]. Moreover, considering the importance of micro-tunable capacitors, several works [27][28][29][30][31] proposed numerous closed-loop control strategies to improve their efficiency and possibly increase their tunability and tuning ratio.…”

Section: Introductionmentioning

confidence: 99%

On the implementation of adaptive sliding mode robust controller in the stabilization of electrically actuated micro-tunable capacitor

et al. 2020

View full text Add to dashboard Cite

Parallel-plates based micro-tunable capacitors are known to have low travel range, which worsen as going even lower in terms of their initials gap sizes. Such conditions have put strict requirements on the operation of such designs and hence hindering their use in numerous practical applications requiring high tunability. This work is proposed to examine the possibility to implement a closed-loop control strategy to increase the maximum capacitance and therefore tunability of micro tunable capacitors. The suggested control strategy is implemented on an electrostatically actuated parallel-plates (one stationary and one movable) based micro-capacitor and had an objective to stabilize the movable electrode when it is close to the fixed one for the sake of maximizing its maximum capacitance and possibly improving its overall tunability. Robustness of the micro-capacitor to the so-called pull-in phenomenon (short-circuit instability) when using the closed loop control scheme is studied. Indeed, an adaptive sliding mode controller is designed to compensate the effects of uncertainty, disturbance and eliminate any possibility for chattering phenomenon. The controller proficiencies in terms of stabilizing the micro-capacitor and its robustness to uncertainty as well as disturbance have been thoroughly examined. Furthermore, the effects of the control parameters on the behavior of micro-capacitor, such as overshoot, settling time, steady state error, robustness to uncertainty, external disturbances and to the chattering phenomenon, have been completely inspected. The obtained results indicated satisfactory proficiency and trustworthiness of the proposed control strategy to achieve high level of tunability and maximum capacitance.

show abstract

Nonlinear Robust Adaptive Multi-Modal Vibration Control of Bi-Electrode Micro-Switch with Constraints on the Input

Cited by 6 publications

References 51 publications

On the tuning of static pull-in instability and nonlinear vibrations of functionally graded micro-resonators with three different configurations

On the tuning of static pull-in instability and nonlinear vibrations of functionally graded micro-resonators with three different configurations

Nonsingular decoupled terminal sliding-mode control for a class of fourth-order under-actuated nonlinear systems with unknown external disturbance

On the implementation of adaptive sliding mode robust controller in the stabilization of electrically actuated micro-tunable capacitor

Contact Info

Product

Resources

About