Stability Analysis of Sliding–Grazing Phenomenon in Dry-Friction Oscillator Using Takagi–Sugeno Fuzzy Approach

@article{Mehran2015StabilityAO,
  title={Stability Analysis of Sliding–Grazing Phenomenon in Dry-Friction Oscillator Using Takagi–Sugeno Fuzzy Approach},
  author={K. Mehran and B. Zahawi and D. Giaouris and J. Wang},
  journal={Journal of Computational and Nonlinear Dynamics},
  year={2015},
  volume={10},
  pages={061010}
}
Dry-friction oscillators are mechanical systems with dry friction and stick-slip vibrations. In the context of control theory, the stability analysis of this type of dynamical systems is important since they exhibit non-smooth bifurcations, or most famously a sliding-grazing bifurcation inducing abrupt chaos. This paper develops a Lyapunovbased framework to study the so-called structural stability of the system, predicting the onset of such unique bifurcations. To achieve this, the non-linear… Expand
2 Citations

Figures from this paper

References

SHOWING 1-10 OF 33 REFERENCES
Investigation of the near-grazing behavior in hard-impact oscillators using model-based TS fuzzy approach
  • 12
  • PDF
Sliding bifurcations: a Novel Mechanism for the Sudden Onset of Chaos in dry Friction oscillators
  • 123
  • PDF
Bifurcations of dynamical systems with sliding: derivation of normal-form mappings
  • 197
  • PDF
Stability analysis and design of Takagi-Sugeno fuzzy systems
  • 70
Stability Analysis and Control of Nonlinear Phenomena in Boost Converters Using Model-Based Takagi–Sugeno Fuzzy Approach
  • 51
  • PDF
Bifurcations in Nonsmooth Dynamical Systems
  • 284
  • PDF
...
1
2
3
4
...