This article focuses on realizing the chaos control of a permanent magnet synchronous motor by combining a pseudo-linear inverse system of the permanent magnet synchronous motor and synthetical sliding mode control. First, the permanent magnet synchronous motor dimensionless nonlinear mathematical model is established, and its chaos is analyzed by the Lyapunov exponent method. The permanent magnet synchronous motor parameter range when chaos appears is obtained. Then, the inverse system decoupling method is used to analyze the reversibility of the permanent magnet synchronous motor system, and the permanent magnet synchronous motor inverse system is obtained, which is compounded with the original system into a pseudo-linear inverse system that consists of two independent subsystems, including a first-order d-axis current system and a second-order rotational speed system, to decouple the permanent magnet synchronous motor system. Third, the first-order d-axis subsystem is controlled by sliding mode control with a hyperbolic tangent function as the switching function, and the second-order speed subsystem is controlled by super-twisting sliding mode control with a hyperbolic tangent function as the switching function, which is called the synthetical sliding mode control. The permanent magnet synchronous motor pseudo-linear inverse system is controlled by using the synthetical sliding mode to realize the chaos control of the permanent magnet synchronous motor. Finally, three kinds of permanent magnet synchronous motor chaos control systems are established in MATLAB/Simulink software, and the experimental tests are implemented. The results show that the proposed permanent magnet synchronous motor chaos control system has good performance, which can effectively eliminate chattering in sliding mode control and control chaos in the permanent magnet synchronous motor system.
In this study, to improve the accuracy of path tracking in intelligent vehicles, we propose an intelligent vehicle path-tracking control method based on improved model predictive control (MPC) combined with hybrid proportional-integral-derivative (PID) control theory. In the lateral control, a constraint on the side deflection of the front wheel is added based on traditional MPC and a relaxation factor is introduced to improve the stability of vehicle control for the driving stability. In longitudinal control, a hybrid PID controller is designed for different road conditions to improve the accuracy of control of vehicle speed. We present the results of a co-simulation using CarSim and MATLAB/Simulink and a test with a sample vehicle, which show that the proposed path tracking controller can greatly improve the path tracking accuracy and stability of an intelligent vehicle. The model-based prediction, rolling optimization solution, feedback control, and the addition of a constraint on the side deflection of the front wheel as well as a relaxation factor can ensure the lateral driving stability of an intelligent vehicle. The proposed approach achieved a lateral error of less than 1%, and the yaw angle was controlled within 4°. The longitudinal speed control based on hybrid PID controller can improve the response speed of the system and meet the real-time requirements of vehicle driving.
In order to enhance automotive ride performance, permanent magnets and magnetic valves were introduced in magnetorheological dampers and hence permanent magnets and magnetic valves introduced in magnetorheological damper’s air suspension was studied. First, on the basic principle of providing magnetic field by permanent magnets and adjusting damping force by magnetic valves, a novel permanent magnets and magnetic valves introduced in magnetorheological damper was designed. On the basis of equivalent surface current model, magnetic induction intensity activated by permanent magnets in damping channel was calculated, and damping force model was built based on hydromechanics theory. Damping force–displacement experiments and damping force–velocity experiments were carried out, and the theoretical model of permanent magnets and magnetic valves introduced in magnetorheological damper was verified. Then, physical and mathematical models of 4 degree-of-freedom permanent magnets and magnetic valves introduced in magnetorheological damper air suspension model were built. In order to enhance the controlling effects of the studied air suspension, optional moving operation, moving variation operation and operation of step size changing with fluorescein proportionality were introduced into glowworm swarm optimization algorithm, and glowworm swarm optimization proportional–integral–derivative controlling algorithm was designed. Finally, three experiments with input of impact road surface, sine wave road surface, and white noise road surface were carried out, and the experimental results verified that the working performance of permanent magnets and magnetic valves introduced in magnetorheological damper air suspension based on glowworm swarm optimization proportional–integral–derivative controlling algorithm was good.
Based on the principle of multi-stage vibration isolation and active vibration absorption, a multi-stage passive vibration-isolating system and active motor vibration-absorbing system are designed for the electric wheel system of wheel-hub motor-driven electric vehicle, and the 1/4 suspension structural diagrams of the two vibration-isolating systems are drawn. Secondly, the corresponding multi-degrees-of-freedom vertical vibration model is established according to the different structural diagrams, and the dynamic differential equation of the multi-degrees-of-freedom vibration system is deduced. Then, by programming the MATLAB software is used to solve the acceleration of the vehicle body, the dynamic deflection of the suspension spring, and the amplitude, and the frequency characteristic curve of the relative dynamic load of the wheel of the 1/4 suspension system are drawn and the results are compared and analyzed. Finally, the ADAMS software is used for remodeling; the simulation experiment of ADAMS multi-body dynamics verified the correctness of the theoretical results of MATLAB software. The results show that the ADAMS simulation experiment results are consistent with the MATLAB theoretical results, and their correctness is verified. The vibration isolation effect of the active vibration-absorbing system is better and can improve the riding comfort and safety of the vehicle; hence it is worth popularizing and drawing.
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