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Estimating Lateral Stability Region of a Nonlinear 2 Degree-of-Freedom Vehicle
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Abstract
This paper deals with estimating the lateral stability region of a nonlinear 2 DOF vehicle via Lyapunov Second Method and the non-Lyapunov methods of tangency points and trajectory reversal. The nonlinearity of the model is incorporated in an analytical expression for the lateral tire force. It is shown that the derived analytical expressions for equilibrium points defines the outer limits of the stability region.
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Citation
Samsundar, J. and Huston, J., "Estimating Lateral Stability Region of a Nonlinear 2 Degree-of-Freedom Vehicle," SAE Technical Paper 981172, 1998, https://doi.org/10.4271/981172.Also In
References
- Ogata, K. Modern Control Engineering Prentice Hall New Jersey 1990
- D'Azzo, J. J. Constantine Houpis H. Linear Control Systems Analysis and Design Third McGraw-Hill Book Company 1988
- Khalil, K. Hassan Nonlinear Systems Macmillian Publishing Company 1992
- Johnson, D. B. Huston, J. C. “Nonlinear Lateral Stability Analysis of Road Vehicles Using Liapunov's Second Method.” Society of Automotive Engineering 1984
- Sachs, H. K. Chou, C. C. “On the Stability in the Sense of Liapunov of a Rubber Tire Vehicle,” Journal of Dynamic Systems, Measurement, and Control 98 180 185 June 1976
- Davidson, E. J. Cowan, K. C. “A Computational method for Determining Quadratic Lyapunov Functions for Nonlinear Systems,” Int. J. Control 7 349 357 1971
- Michel, A. N. Sarabudla, N. R. Miller, R. K. “Stability Analysis of Complex Dynamical Systems,” Circuit Systems Signal Process 1 171 202 1982
- Chaing, Hsiao-Dong Thorp, J. S. “Stability Regions of Nonlinear Dynamical Systems: A Constructive Methodology,” IEEE Transactions on Automatic Control 34 12 1229 1241 December 1989
- Samsundar, John A methodology to investigate automobile handling and stability Iowa State University 1996
- Shields, D. N. Storey, C. “The Behaviour of Optimal Lyapunov Functions,” International Journal of Control 21 4 561 573 1975
- Lewis, L. F. Optimal Control John Wiley and Sons New York 1986
- Rao, S. S. Optimization Theory and Applications Wiley Eastern Limited 1991
- Matlab The MathWorks, Inc. Natick, Mass. June 1993
- Genesio, R. Tartaglia, M. Vicino, A. “On the Estimation of the Asymptotic Stability Regions: State of the Art and New Proposals,” IEEE Transactions on Automatic Control AC-30 8 747 755 August 1985
- Char, B. W. Geddes, K. Gonnet, G. Monagan, M. Watt, S. Maple V Waterloo Maple Publishing 1991