Forcing Frequency Analysis and Control of Chaos in Vehicle Dynamics Using Time delay feedback Algorithm

The chaos analysis and chaos control system has been considered for the heave dynamics in this paper. In the first part of this work, dynamical model of the vehicle system is derived using the Newtonian dynamics. After simulation of the model, nonlinear behaviors consist of jump phenomenon and chaos in the heave motion of vehicle are studied using the forcing frequency tool that depicts the root to chaos from the periodic orbits. In the second part of this paper, controller system based on developed delay feedback scheme is designed to stabilize the unstable trajectories. For elimination of chaos phenomenon in the vertical dynamics, a novel sliding delay feedback controller is developed via the fuzzy inference system on the active suspension. In the controller structure, fuzzy logic can tune online the controller gain of the sliding delay feedback system in order to reject the chattering phenomenon in the sliding mode algorithm. Results of the simulations in control system show the enhancements of responses of feedback system with reducing the power consumption of system and eliminating of chaos.