Numerical analysis of chaotic dynamics in vehicle along with design of chaos controller using fuzzy fast terminal sliding mode control

Document Type : Research Article

Authors

Faculty of the Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran

Abstract

In this paper, chaos control in the vehicle during passaging of intermittent roughness has been investigated using a fuzzy fast terminal sliding mode control method. For this purpose, the nonlinear half model for the vehicle is considered due to the nonlinear behavior of the springs and dampers used in the suspension system and tires. Initially, the dynamical equations of motion are derived using the Newton-Euler laws and then are solved using the fourth-order Runge-Kutta method. To analyze the chaotic dynamics, the nonlinear dynamic system is studied by specific techniques for identifying the chaotic behaviors such as frequency response diagrams, bifurcation diagrams, frequency spectra, phase plane trajectories, Poincare¢ section and max Lyapunov exponent. Therefore, using these methods, the chaotic zones along with the critical values in order to excite chaos based on the input force of the road surface are depicted on the uncontrolled model. Consequently, to eliminate this chaotic behavior, the control signals in the active suspension system are generated using the novel fuzzy fast terminal sliding mode control algorithm. According to the simulation results of the feedback system, the unwanted vibrations in the suspension system can be stabilized at a proper time via the efficient fuzzy fast terminal sliding mode controller besides the rejection of the irregular chaotic behaviors.

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