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Time delays play an important role in determining the qualitative dynamical properties of a platoon of self-driven vehicles driving on a straight road. In this paper, we investigate the impact of Delayed Acceleration Feedback (DAF) on the dynamics of the Reduced Classical Car-Following Model (RCCFM). We first derive the Reduced Classical Car-Following Model with Delayed Acceleration Feedback (RCCFM-DAF)...
Nonlinear dynamics theory and bifurcation theory were adopted to study stability and bifurcation phenomenon of supercavitating vehicles. With least-squares method, simplified dynamics models for longitude of supercavitating vehicle were obtained. Using multiple scale perturbation techniques, the nonlinear differential equations for longitude motion of supercavitating vehicle were solved, the stability...
In this paper, Lyapunov redesign method is proposed to control the steering of vehicle. It was observed in Liaw and Chung (2006) that the vehicle dynamics would exhibit the saddle-node bifurcation phenomenon at some front wheel steering angle. This might result in spin and/or instability for vehicle system. Based on the assumption of constant driving velocity, a Lyapunov redesign control law was proposed...
This work explains the hopf bifurcation and stability of self-excited vibration with the variety of vehicle velocity. Polygonal wear of tire is one of the most pressing problems to be solved in the process of a vehicle's research and design. Based on the non-linear character of friction coefficient, which combines the concept of static and kinetic friction, a model of tread-pavement, taking time-delay...
This paper analyzes the leader-follower dynamics for nonholonomic vehicle (unicycle). Local stability of the system is studied in global and local coordinates. The bifurcation structure of the system is studied and we demonstrate the existence of Hopf and Fold-Hopf bifurcations in the system depending on the choice of control gain.
In this paper, characteristic analysis of vehicle's lateral dynamics is proposed to understand the nonlinear behavior of vehicle system. It was observed in Liaw and Chung (2006) that, with the variation of the front wheel steering angle, the vehicle dynamics would exhibit the saddle-node bifurcation. That might result in spin motion and/or system instability. To find out the key factors for causing...
The nonlinear dynamic characteristics of traffic flow based on continuous car-following model were studied in this paper. Discrete Bierley car-following model was transformed into continuous nonlinear dynamic model with nonintegral dimension in difference method and solved in averaging method. Stability and bifurcation characteristics were analyzed, and time histories and phase diagrams of this system...
In this paper, a new research for semi-active suspension system of vehicle is proposed. Assuming the stochastic excitations are Gauss white noises, we establish a stochastic model on semi-active suspension system. Here we consider two kinds of stochastic excitations: one is the inner multiplicative excitation brought by the inner system such as the spring and damper, the other is the outer excitation...
We propose a smooth uni-cyclic pursuit control law in order to avoid controller discontinuity. The local stability of all the equilibria are characterized. Global bifurcation analysis of three different cases are carried out based on phase portraits of a 2-dimensional system. Numerics agree well with the theoretical results.
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