Pulsive feedback control of a quarter car model forced by a road profile

Litak, Grzegorz; Borowiec, Marek; Ali, M. K.; Saha, L. M.; Friswell, Michael I.

doi:10.1016/j.chaos.2006.03.008

Cited by 28 publications

(9 citation statements)

References 19 publications

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“…So controlling chaos to bring any chaotic system to regularity may differ from one nonlinear system to another nonlinear system. Different types of controlling chaos technique discussed in recent literatures, [75][76][77][78][79][80][81][82][83][84][85][86][87][88].…”

Section: Chaos Control Techniquementioning

confidence: 99%

Chaos and Complexity Dynamics of Evolutionary Systems

Saha¹

2021

A Collection of Papers on Chaos Theory and Its Applications

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Chaotic phenomena and presence of complexity in various nonlinear dynamical systems extensively discussed in the context of recent researches. Discrete as well as continuous dynamical systems both considered here. Visualization of regularity and chaotic motion presented through bifurcation diagrams by varying a parameter of the system while keeping other parameters constant. In the processes, some perfect indicator of regularity and chaos discussed with appropriate examples. Measure of chaos in terms of Lyapunov exponents and that of complexity as increase in topological entropies discussed. The methodology to calculate these explained in details with exciting examples. Regular and chaotic attractors emerging during the study are drawn and analyzed. Correlation dimension, which provides the dimensionality of a chaotic attractor discussed in detail and calculated for different systems. Results obtained presented through graphics and in tabular form. Two techniques of chaos control, pulsive feedback control and asymptotic stability analysis, discussed and applied to control chaotic motion for certain cases. Finally, a brief discussion held for the concluded investigation.

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Section: Chaos Control Techniquementioning

confidence: 99%

Chaos and Complexity Dynamics of Evolutionary Systems

Saha¹

2021

A Collection of Papers on Chaos Theory and Its Applications

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“…Z rl = A sin(2ft + + ); (12) where A and f are the amplitude and the frequency of the sinusoid road disturbance, respectively. Parameter indicates the time delay between the forcing functions of two front tires, or to two rear tires, respectively.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…In recent years, many studies have developed these phenomena in a variety of vehicle models with various degrees of freedom. Litak et al [12][13][14] investigated chaotic vibrations in a quarter-car model with one degree of freedom under the sinusoidal excitation force of road. The stability and chaos analyses of a nonlinear quarter-vehicle model with two degrees of freedom were investigated by Samandari and Rezaee [15].…”

Section: Introductionmentioning

confidence: 99%

Chaotic behaviors of a ground vehicle oscillating system with passengers

2017

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Abstract. In this paper, some considerations regarding a ground vehicle oscillating system based on chaotic behaviors are studied. The vehicle system is modeled as a full nonlinear seven-degree freedom with an additional degree of freedom for each passenger. Roughness of the road surface is considered as sinusoidal waveforms with time delays for the tires. The governing di erential equations are extracted under Newton-Euler laws and solved via numerical methods. The dynamic behavior of the system is investigated by special nonlinear techniques such as bifurcation diagram, time series, phase plane portrait, power spectrum, Poincar e section, and maximum Lyapunov exponents. The time delays between the tires are used as a control parameter. First, the vehicle behavior is investigated and the chaotic regions are detected. Then, the damping and sti ness coe cients are used to return to the regular behavior. Results show that by changing the system parameters and selecting the appropriate values, one can minimize vibrations as well as eliminate chaotic behavior. The comparison of the results obtained from the proposed model and those from the vehicle without passengers show the great di erences in the dynamic behaviors of the two models.

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“…For simulation the following values given by Litak et al (2007) are considered. M = 240 kg, k 1 = 160,000 N m À1 , k 2 = À300,000 N m À3 , C 1 = À250 N s m À1 , C 2 = 25 N s 3 m À3 .…”

Section: The Quarter-car Modelmentioning

confidence: 99%