On energy transfer phenomena, in a nonlinear ideal and nonideal essential vibrating systems, coupled to a (MR) magneto-rheological damper

Tusset, Ângelo Marcelo; Balthazar, José Manoel; Chavarette, Fábio Roberto; Félix, Jorge Luis Palacios

doi:10.1007/s11071-012-0391-5

Cited by 48 publications

(42 citation statements)

References 12 publications

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“…The interaction between the resulting induced dipoles makes the particles form columnar structures parallel to the applied field, increasing the viscous characteristics of the device (Kasemi et al, 2012;Dutta and Chakraborty, 2014). These magnetic properties permit its use as a damper controlled by an electrical current Tusset et al, 2012. When using MR damper control for suppression of unwanted oscillations, the viscosity of the internal fluid varies according to a variable electrical current or voltage (Tusset et al, 2009;Piccirillo et al, 2014).…”

Section: Introductionmentioning

confidence: 99%

On suppression of chaotic motions of a portal frame structure under non-ideal loading using a magneto-rheological damper

Tusset

Piccirillo

Balthazar

et al. 2015

jtam

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We consider chaotic motions of a portal frame structure under non-ideal loading. To suppress this chaotic behavior, a controlling scheme is implemented. The control strategy involves application of two control signals and nonlinear feedforward control to maintain a desired periodic orbit, and state feedback control to bring the system trajectory into the desired periodic orbit. Additionally, the control strategy includes an active magneto-rheological damper to actuate the system. The control force of the damper is a function of the voltage applied in the coil of the damper that is based on the force given by the controller.

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Section: Introductionmentioning

confidence: 99%

On suppression of chaotic motions of a portal frame structure under non-ideal loading using a magneto-rheological damper

Tusset

Piccirillo

Balthazar

et al. 2015

jtam

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“…Next, we present the optimal linear control strategy for nonlinear systems [10]. It is important to observe that this approach is analytical, without dropping any nonlinear term [11].…”

Section: Control Using Optimal Linear Feedback Control (Olfc)mentioning

confidence: 99%

On nonlinear dynamics and control of a robotic arm with chaos

Félix

Silva

Balthazar

et al. 2014

MATEC Web of Conferences

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Abstract. In this paper a robotic arm is modelled by a double pendulum excited in its base by a DC motor of limited power via crank mechanism and elastic connector. In the mathematical model, a chaotic motion was identified, for a wide range of parameters. Controlling of the chaotic behaviour of the system, were implemented using, two control techniques, the nonlinear saturation control (NSC) and the optimal linear feedback control (OLFC). The actuator and sensor of the device are allowed in the pivot and joints of the double pendulum. The nonlinear saturation control (NSC) is based in the order second differential equations and its action in the pivot/joint of the robotic arm is through of quadratic nonlinearities feedback signals. The optimal linear feedback control (OLFC) involves the application of two control signals, a nonlinear feedforward control to maintain the controlled system to a desired periodic orbit, and control a feedback control to bring the trajectory of the system to the desired orbit. Simulation results, including of uncertainties show the feasibility of the both methods, for chaos control of the considered system.

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“…Substituting (13) in (12) and considering the derivatives (14), (12) is represented in form perturbed: (15) Separating the terms in relation with the potential for and we have:…”

Section: Analytical Approximate Solutions Obtained Through the Perturmentioning

confidence: 99%

“…In [12] the quadratic nonlinear Lyapunov function was proposed to resolve the optimal nonlinear control design problem. The theorem formulated by [12] explicitly expresses the form of minimized functional and gives the sufficient conditions that allow using the Linear Feedback Control for nonlinear systems [13,14].…”

Section: Introductionmentioning

confidence: 99%

Chaos suppression in NEMs resonators by using nonlinear control design

Tusset

Bueno

Nascimento

et al. 2012

AIP Conference Proceedings

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Abstract. In this work the chaotic behavior of a micro-mechanical resonator with electrostatic forces on both sides is suppressed. The aim is to control the system in an orbit of the analytical solution obtained by the Method of Multiple Scales. Two control strategies are used for controlling the trajectory of the system, namely: State Dependent Riccati Equation (SDRE) Control and Optimal Linear Feedback Control (OLFC). The controls proved effectiveness in controlling the trajectory of the system. Additionally, the robustness of each strategy is tested considering the presence of parametric errors and measurement noise in control.

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On energy transfer phenomena, in a nonlinear ideal and nonideal essential vibrating systems, coupled to a (MR) magneto-rheological damper

Cited by 48 publications

References 12 publications

On suppression of chaotic motions of a portal frame structure under non-ideal loading using a magneto-rheological damper

On suppression of chaotic motions of a portal frame structure under non-ideal loading using a magneto-rheological damper

On nonlinear dynamics and control of a robotic arm with chaos

Chaos suppression in NEMs resonators by using nonlinear control design

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