Statements on chaos control designs, including a fractional order dynamical system, applied to a “MEMS” comb-drive actuator

Tusset, Ângelo Marcelo; Balthazar, José Manoel; Bassinello, Dailhane G.; Pontes, Bento Rodrigues de; Félix, Jorge Luis Palacios

doi:10.1007/s11071-012-0390-6

Cited by 88 publications

(53 citation statements)

References 35 publications

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“…f obtained from (13) to asphalt floor rolling with tubular tire 22 g 700 × 23 mm with 275 kPa of pressure will be considered, with the following parameters [31][32][33]: cyclist mass 72 kg, bicycle mass 18 kg, and rolling coefficient r = 0.006.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…The advantage of this control technique is that it does not cancel possible benefits provided by nonlinearities of the system, due to the fact that it is not necessary to linearize the system when applying this technique [12][13][14][15][16]. Among successful techniques implemented in real applications, there is the classical proportional-derivative (PD) controllers [17][18][19].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

SDRE Control Applied to the Wheel Speed of a Compressed Air Engine with Crank-Connecting-Rod Mechanism

Alves

Tusset

Balthazar

et al. 2017

Shock and Vibration

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Renewable energy sources for vehicles have been the motivation of many researches around the world. The reduction of fossil fuels deposits and increase of the pollution in cities bring the need of more efficient and cleaner energy sources. In this way, this work will present the application of a compressed air engine applied to a bicycle. The engine is composed of two pneumatic cylinders connected to the bicycle wheel through a crank-connecting-rod mechanism. In order to control the velocity of the bicycle, a strategy of control composed of two controls was implemented: a feedback and a feedforward control. For feedback control, the StateDependent Riccati Equation (SDRE) control and also a proportional-derivative (PD) control are considered, considering three cases for velocity bicycle variation: 10 km/h, 20 km/h, and 30 km/h. The equations of motion of the system were obtained through the Lagrangian energy method. Numerical simulations were performed in order to analyze the dynamics of the system and the efficiency of the controllers.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

SDRE Control Applied to the Wheel Speed of a Compressed Air Engine with Crank-Connecting-Rod Mechanism

Alves

Tusset

Balthazar

et al. 2017

Shock and Vibration

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“…Differential equations may involve Riemann-Liouville differential operators of fractional-order 0  q , which generally take the form below [32], [33]:…”

Section: Dynamic Analysis Of a Fractional-ordermentioning

confidence: 99%

Dynamics behaviour of an elastic non-ideal (NIS) portal frame, including fractional nonlinearities

Balthazar

Brasil

Félix

et al. 2016

J. Phys.: Conf. Ser.

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Abstract. This paper overviews recent developments on some problems related to elastic structures, such as portal frames, taking into account the full interactions of the vibrating systems, with an energy source of limited power supply (small motors, electro-mechanical shakers). We include a discussion on fractional (rational) damping and stiffness effects on the adopted modelling. This was a plenary lecture, delivered in the event titled: Mechanics of Slender Structures, organized in Northampton, England from 21-22, September 2015. IntroductionThis paper shows a series of problems related to nonlinear dynamics and control, correlated to Electromechanical Systems [1] using an elastic support. Here, we analyzed such systems those fall into three groups: the conventional MACRO, MEMS and NEMS electro-mechanical systems, taking into account the existence of a full interaction between mechanical and electrical field quantities. The aim of this paper is to describe a large number of phenomena caused by the action of vibrations on nonlinear electro-mechanical systems and the energy source supply to it. This paper gives a general description of this class of phenomena which has been discussed in recent years.

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“…Kumar and Rhoads investigate an optically actuated bistable MEMS device [3], Hornstein and Gottlieb multimode dynamics and internal resonances in noncontact atomic force microscopy [4], Cho et al nonlinear hardening and softening response and the switching among them [5], Welte et al parametric resonance and anti-resonance [6], Kacem et al primary and superharmonic resonances [7], Tusset et al chaos control designs [8], Gerson et al pull-in phenomenon in electrically actuated meso scale beams [9], Vyasarayani et al past pull-in behavior [10], Ouakad and Ramini et al response to mechanical shock [11,12] Motivated by the increasing relevance of nonlinear features, the present research study analyzes a theoretical bistable MEMS device, Fig. 1.…”

Section: Introductionmentioning

confidence: 99%

Jump and pull-in dynamics of an electrically actuated bistable MEMS device

Ruzziconi

Lenci

Younis

2014

MATEC Web of Conferences

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Abstract. This study analyzes a theoretical bistable MEMS device, which exhibits a considerable versatility of behavior. After exploring the coexistence of attractors, we focus on each rest position, and investigate the final outcome, when the electrodynamic voltage is suddenly applied. Our aim is to describe the parameter range where each attractor may practically be observed under realistic conditions, when an electric load is suddenly applied. Since disturbances are inevitably encountered in experiments and practice, a dynamical integrity analysis is performed in order to take them into account. We build the integrity charts, which examine the practical vulnerability of each attractor. A small integrity enhances the sensitivity of the system to disturbances, leading in practice either to jump or to dynamic pull-in. Accordingly, the parameter range where the device, subjected to a suddenly applied load, can operate in safe conditions with a certain attractor is smaller, and sometimes considerably smaller, than in the theoretical predictions. While we refer to a particular case-study, the approach is very general.

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Statements on chaos control designs, including a fractional order dynamical system, applied to a “MEMS” comb-drive actuator

Cited by 88 publications

References 35 publications

SDRE Control Applied to the Wheel Speed of a Compressed Air Engine with Crank-Connecting-Rod Mechanism

SDRE Control Applied to the Wheel Speed of a Compressed Air Engine with Crank-Connecting-Rod Mechanism

Dynamics behaviour of an elastic non-ideal (NIS) portal frame, including fractional nonlinearities

Jump and pull-in dynamics of an electrically actuated bistable MEMS device

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