Control and identification of chaotic systems by altering their energy

Tereshko, Valery

doi:10.1016/j.chaos.2007.10.056

Cited by 11 publications

(24 citation statements)

References 48 publications

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“…The above strategy does not require any computation of the control signal and, hence, is applicable for control as well as identification of unknown systems. The above approach was applied to control isolated oscillators, as well as coupled ones (Tereshko, 2009;Tereshko et al, 2004a;. Here, we summarize the obtained results and present our new findings in controlling spatially-extended systems.…”

Section: Introductionmentioning

confidence: 91%

Control and Identification of Chaotic Systems by Altering the Oscillation Energy

Tereshko¹

2011

Chaotic Systems

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Section: Introductionmentioning

confidence: 91%

Control and Identification of Chaotic Systems by Altering the Oscillation Energy

Tereshko¹

2011

Chaotic Systems

Self Cite

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“…However, it is difficult to obtain complete information about the desired orbit at high frequencies. Then, it is useful to apply the continuous-time delayed feedback, which considers only one period of the desired unstable periodic orbit Tereshko [38]. Here, the control method chosen is based on Tereshko [38] and described below.…”

Section: A Proposed Feedback Controlmentioning

confidence: 99%

“…determines the function slope, and K determining the amplitude of the signal control U [38]. The control is presented in Tereshko et al [38][39][40] and is required to deal with nonlinear terms of a differential equation and an external driving force. The idea in this control begins from provoking the perturbation specially tuned to control equilibriums.…”

Section: A Proposed Feedback Controlmentioning

confidence: 99%

On nonlinear dynamics behavior of an electro-mechanical pendulum excited by a nonideal motor and a chaos control taking into account parametric errors

Avanço

Tusset

Balthazar

et al. 2018

J Braz. Soc. Mech. Sci. Eng.

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This study analyzes a nonlinear system with a crankshaft -slider mechanism linked to a pendulum. The crank is powered by a DC motor that moves horizontally the pendulum pivot. The speed of the motor is influenced by the pendulum dynamics, reason for calling the system as nonideal. In literature, the vibration of the pendulum support by a crank-shaftslider is generally considered as harmonic what neglects the real complexity of the mechanism. It is also common, for the crank speed or the excitation frequency to be considered constant, so a unique degree-of-freedom can take place. The novelty in this research is the analysis of the feedback effect of the pendulum over the crank speed and the complexity of crank-slider mechanism without approaching to a harmonic motion. Different types of motion occur as oscillations, rotations, and chaos. Results with different initial conditions are worked out and basins of attractions plotted. Chaos was obtained when small variations of parameters are made. The methods of analysis include phase portraits, time histories, bifurcations diagrams, and basins of attraction. The verification of chaotic phenomena is performed through the 0-1 test. By the end, the feedback control is applied using the method of Tereshko by altering the energy of the chaotic system, leading the pendulum to a limit cycle.

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“…In order to control the oscillations, an effective way would be to minimize the energy transfer. This means that while the excess potential energy increases, the energy decreased by kinetic energy should be decreased and vice-versa by using the value of the average oscillation energy [11], [16]. By effective altering the energy, the desired behaviour can be obtained.…”

Section: ) Overview Of Oscillation Energy Based Controlmentioning

confidence: 99%

Dynamic analysis and control of support structures for offshore wind turbines

Aggarwal

Manikandan

Saha

2014

2014 1st International Conference on Non Conventional Energy (ICONCE 2014)

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Offshore wind power is a promising technology and is important from the future energy demand. Energy from the offshore wind can be a potential source of renewable energy which is capable of meeting our needs. Research is still underway for addressing the several challenges associated with this technology and one of them is the unwanted response of support structures for wind turbines. Offshore wind turbines are located in severe environment and experience environmental loads like wind, wave, current and seismic excitations. The support structures when subjected to the loads exhibit the nonlinear response. Owing to the irregular waves, the response will often be chaotic which in turn reduces the overall stability of the turbine. A 5MW NREL wind turbine is considered for the study. The turbine is assumed to be installed on a floating platform with water depths of 320 m. To keep the response in safe operating regime, the controlled response of offshore structure is essential. The focus of this paper is to develop robust control techniques so as to regulate the vibration and synchronization of support structures for an offshore wind turbine. To achieve the same, two methods the sliding mode controller and a control mechanism based on altering the oscillation energy are being proposed. The performance of the algorithms is illustrated in this paper by designing the controllers for controlled response of the structures supporting offshore wind turbines in the chaotic regime. The performances of controllers are compared with general back steeping control methodology based on Lyapunov stability theory. Numerical results and simulations are shown to validate the proposed methodology and to demonstrate its effectiveness.Index Terms-Offshore wind turbines, spar platform, dynamic analysis, back stepping control, sliding mode control.

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Control and identification of chaotic systems by altering their energy

Cited by 11 publications

References 48 publications

Control and Identification of Chaotic Systems by Altering the Oscillation Energy

Control and Identification of Chaotic Systems by Altering the Oscillation Energy

On nonlinear dynamics behavior of an electro-mechanical pendulum excited by a nonideal motor and a chaos control taking into account parametric errors

Dynamic analysis and control of support structures for offshore wind turbines

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