DocumentCode :
697373
Title :
On a chaotic behaviour of the car
Author :
Shavrin, P.A.
Author_Institution :
Dept. of Electr. Eng., Togliatti Polytech. Inst., Togliatti, Russia
fYear :
2001
fDate :
4-7 Sept. 2001
Firstpage :
2187
Lastpage :
2192
Abstract :
Given paper presents practically a question statement on the possibility of unpredictable behaviour of the car. In the state space of the linearized model an untypical attractor is revealed which is similar to the Lorenz strange attractor generating an unregular trajectory behaviour. It is shown an opportunity of getting the complete conformity with the Lorenz system for which a strange attractor is a unique attractor and thereby it is proved the analogous property for the linearized vehicle. With the help of numerical simulations it is established the existence of certain varieties in the state space of nonlinear car. Thus, the problem of studying the vehicle behaviour, in fact, can be put into the same row with the problems of hydrodynamics, analysis of atmospheric phenomenons, magnetohydrodynamics of the Earth and so on, for which the strange attractors are the main objects of research. This fact opens the new perspectives for studying via mutual application of accumulated results.
Keywords :
Lyapunov methods; automobiles; chaos; linear systems; nonlinear control systems; vehicle dynamics; Lorenz strange attractor; Lorenz system; analogous property; atmospheric phenomenon analysis; chaotic behaviour; hydrodynamics; linearized vehicle model; magnetohydrodynamics; nonlinear car; numerical simulations; state space; unique attractor; unregular trajectory behaviour generation; untypical attractor; vehicle behaviour; Chaos; Equations; Mathematical model; Stability analysis; Trajectory; Vehicle dynamics; Vehicles; Chaotic Behaviour; Lyapunov Approach; Stability Analysis of Nonlinear Systems; Vehicle Dynamics;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2
Type :
conf
Filename :
7076248
Link To Document :
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