On a control design to an AFM microcantilever beam, operating in a tapping-mode, with irregular behavior

In last decades, control of nonlinear dynamic systems became an important and interesting problem studied by many authors, what results the appearance of lots of works about this subject in the scientific literature. In this paper, an Atomic Force Microscope micro cantilever operating in tapping mode was modeled, and its behavior was studied using bifurcation diagrams, phase portraits, time history, Poincare maps and Lyapunov exponents. Chaos was detected in an interval of time; those phenomena undermine the achievement of accurate images by the sample surface. In the mathematical model, periodic and chaotic motion was obtained by changing parameters. To control the chaotic behavior of the system were implemented two control techniques. The SDRE control (State Dependent Riccati Equation) and Time-delayed feedback control. Simulation results show the feasibility of the bothmethods, for chaos control of an AFM system. Copyright © 2011 by ASME.

Chaos suppression in NEMs resonators by using nonlinear control design

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. © 2012 American Institute of Physics.

On the Chaotic Suppression of Both Ideal and Non-ideal Duffing Based Vibrating Systems, Using a Magnetorheological Damper

In this paper the dynamics of the ideal and non-ideal Duffing oscillator with chaotic behavior is considered. In order to suppress the chaotic behavior and to control the system, a control signal is introduced in the system dynamics. The control strategy involves the application of two control signals, a nonlinear feedforward control to maintain the controlled system in a periodic orbit, obtained by the harmonic balance method, and a state feedback control, obtained by the state dependent Riccati equation, to bring the system trajectory into the desired periodic orbit. Additionally, the control strategy includes an active magnetorheological damper to actuate on the system. The control force of the damper is a function of the electric current applied in the coil of the damper, that is based on the force given by the controller and on the velocity of the damper piston displacement. Numerical simulations demonstrate the effectiveness of the control strategy in leading the system from any initial condition to a desired orbit, and considering the mathematical model of the damper (MR), it was possible to control the force of the shock absorber (MR), by controlling the applied electric current in the coils of the damper. © 2012 Foundation for Scientific Research and Technological Innovation.

On elimination of chaotic behavior in a non-ideal portal frame structural system, using both passive and active controls

In this paper, an application is considered of both active and passive controls, to suppression of chaotic behavior of a simple portal frame, under the excitation of an unbalanced DC motor, with limited power supply (non-ideal problem). The adopted active control strategy consists of two controls: the nonlinear (feedforward) in order to keep the controlled system in a desirable orbit, and the feedback control, which may be obtained by considering state-dependent Riccati equation control to bringing the system into the desired orbit using a magneto rheological (MR) damper. To control the electric current applied in control of the MR damper the Bouc-Wen mathematical model was used to the MR damper. The passive control was obtained by means of a nonlinear sub-structure with properties of nonlinear energy sink. Simulations showed the efficiency of both the passive control (energy pumping) and active control strategies in the suppression of the chaotic behavior. © The Author(s) 2012.

Nonlinear control system applied to atomic force microscope including parametric errors

The performance of the optimal linear feedback control and of the state-dependent Riccati equation control techniques applied to control and to suppress the chaotic motion in the atomic force microscope are analyzed. In addition, the sensitivity of each control technique regarding to parametric uncertainties are considered. Simulation results show the advantages and disadvantages of each technique. © 2013 Brazilian Society for Automatics - SBA.

Control design applied to a non-ideal structural system with behavior chaotic

In this paper we study the behavior of a structure vulnerable to excessive vibrations caused by an non-ideal power source. To perform this study, the mathematical model is proposed, derive the equations of motion for a simple plane frame excited by an unbalanced rotating machine with limited power (non-ideal motor). The non-linear and non-ideal dynamics in system is demonstrated with a chaotic behavior. We use a State-Dependent Riccati Equation Control technique for regulate the chaotic behavior, in order to obtain a periodic orbit small and to decrease its amplitude. The simulation results show the identification by State-Dependent Riccati Equation Control is very effective. © 2013 Academic Publications, Ltd.

Fenômenos não-lineares, incluindo-se os não-ideias, em captura de energia utilizando-se dispositivos piezoelétricos

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Caos e controle de microviga em balanço de um microscópio de força atômica, operando em modo intermitente, na ressonância

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Análise higiênico-sanitária da carne do caranguejo-uçá (Ucides cordatus) beneficiada em dois municípios litorâneos do Estado do Pará

Entre os produtos de origem animal o caranguejo é tido como um dos alimentos mais susceptíveis ao processo de deterioração devido à sua composição química específica, atividades de enzimas autolíticas e ao pH próximo da neutralidade. Além destes fatores intrínsecos relacionados ao crustáceo, o processo de extração de suas carnes é realizado, na grande maioria das vezes, em condição higiênico-sanitária insatisfatória, ocasionando, assim um alto teor de contaminação destas. Com objetivo de analisar a qualidade microbiológica, microscópica e parasitológica da carne de caranguejo comercializada em dois municípios do Estado do Pará (São Caetano de Odivelas e Bragança), foram pesquisadas 30 amostras da carne adquiridas dos catadores, nos seus pontos de catação. Na análise microbiológica, observou-se presença, em níveis elevados, de coliformes fecais e Staphylococcus aureus, em ambos os municípios, entretanto a Salmonella sp (S. panama: sorogrupo D) foi detectada somente em Bragança/Vila de Caratateua. Ressalta-se que grande parte dos pontos de catação apresentou suas amostras fora dos padrões legais vigentes na atual legislação brasileira, seja em relação aos coliformes fecais, Staphylococcus aureus e/ou Salmonella sp. A análise microscópica revelou constante presença de sujidades (lasca de madeira, fibra e semente de origem vegetal, pêlo humano, larva e excremento de inseto). Contudo, a análise parasitológica foi negativa para a detecção de cistos de protozoários (E. histolytica/E. díspar e G. lamblia). Os resultados revelam a precariedade das condições higiênico-sanitárias das amostras pesquisadas, indicando desta forma a necessidade de ser criado, por parte das autoridades competentes, um registro do Ministério da Agricultura e Secretaria da Agricultura do estado, para que o beneficiamento e a comercialização deste produto sejam feitos de acordo com as normas sanitárias vigentes.

Os direitos humanos de acessibilidade e locomoção das pessoas com necessidades especiais: a realidade paraense, com ênfase em Belém/PA

Aborda a problemática enfrentada, diuturnamente, pelas pessoas com necessidades especiais, frente às barreiras arquitetônicas, nos edifícios destinados ao uso público e nos meios de transporte coletivo, bem como diante da falta de equipamentos e elementos do mobiliário urbano acessíveis. Utiliza dados censitários acerca das referidas pessoas. Analisa essa problemática sob o enfoque dos direitos humanos. Enfatiza a imprescindibilidade de eliminação das referidas barreiras ou de serem adaptadas. Demonstra como o assunto é tratado no plano internacional e como está substanciado em normas constitucionais nacionais e estaduais, nas leis orgânicas municipais e na legislação infraconstitucional específica nos níveis federal, estadual e municipal, bem assim em normas técnicas. Aponta a precariedade das estruturas físico-ambientais, principalmente no município de Belém, Estado do Pará. Contém propostas para a efetividade das normas de acessibilidade e locomoção das aludidas pessoas e a concreção desses direitos humanos.

Tm-afm nonlinear motion control with robustness analysis to parametric errors in the control signal determination

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Nonlinear control in an electromechanical transducer with chaotic behaviour

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Nonlinear dynamics and control strategies: On a energy harvester vibrating system with a linear form to non-ideal motor torque

In this paper, we deal with the research of a vibrating model of an energy harvester device, including the nonlinearities in the model of the piezoelectric coupling and the non-ideal excitation. We show, using numerical simulations, in the analysis of the dynamic responses, that the harvested power is influenced by non-linear vibrations of the structure. Chaotic behavior was also observed, causing of the loss of energy throughout the simulation time. Using a perturbation technique, we find an approximate analytical solution for the non-ideal system. Then, we apply both two control techniques, to keep the considered system, into a stable condition. Both the State Dependent Ricatti Equation (SDRE) control as the feedback control by changing the energy of the oscillator, were efficient in controlling of the considered non-ideal system.

Dinâmica e controle de um sistema Maglev simplificado

Pós-graduação em Engenharia Mecânica - FEIS

SDRE control strategy applied to a nonlinear robotic including drive motor

A robotic control design considering all the inherent nonlinearities of the robot-engine configuration is developed. The interactions between the robot and joint motor drive mechanism are considered. The proposed control combines two strategies, one feedforward control in order to maintain the system in the desired coordinate, and feedback control system to take the system into a desired coordinate. The feedback control is obtained using State-Dependent Riccati Equation (SDRE). For link positioning two cases are considered. Case I: For control positioning, it is only used motor voltage; Case II: For control positioning, it is used both motor voltage and torque between the links. Simulation results, including parametric uncertainties in control shows the feasibility of the proposed control for the considered system.