Abstract
Control synchronization of two eccentric rotors (ERs) in the vibration system with the asymmetric structure is studied to make the vibration system obtain the maximum excited resultant force and the driven power. Because this vibration system is essentially an underactuated system, a decoupling strategy for the control goal of the same phase motion between two ERs is proposed to reduce the order of state equation of the vibration system. According to the master-slave control scheme, the complex control objects are converted into the velocity control of the master motor and the phase control of the slave motor. Considering the self-adjusting of the vibration system as interference, controllers of the velocity and the phase difference are designed by applying the discrete-time sliding mode control, which is proved by Lyapunov theory. A vibration machine is designed for evaluating the performance of the proposed controllers. Two control schemes are presented: controlling one motor and controlling two motors, and two group experiments are achieved to investigate the dynamic coupling characteristic of the vibration system in the state of control synchronization. The experimental results show that control synchronization is an effective and feasible technology to remove the limitation of vibration synchronization.
Highlights
Vibration machine is a new type of machine quickly developed in the twentieth century, which utilizes vibration principle to perform various processing tasks and has been widely used in various fields of industry [1]. ey usually adopt an eccentric rotor (ER) as the excited source
Self-synchronization of the vibration system is of great significance in engineering and technology fields because it replaces the technology of forced synchronization as the design technology of 2nd generation vibration machine. e technology of vibration synchronization utilizes the dynamic coupling characteristic of the vibration system to guarantee the synchronous motion of two ERs, which reflects the vibration system has the ability of the self-adjusting [2]
Vibration Synchronization and Control Synchronization. e comparison between vibration synchronization and control synchronization of two ERs with asymmetrical structure is shown in Figures 7–10. e experimental scheme is divided into three parts
Summary
Vibration machine is a new type of machine quickly developed in the twentieth century, which utilizes vibration principle to perform various processing tasks and has been widely used in various fields of industry [1]. ey usually adopt an eccentric rotor (ER) as the excited source. To obtain the maximum excited resultant force and the driven power, the viewpoint of introducing control theory into the design of a vibration machine ( called control synchronization) is proposed [5]. Based on the master-slave control strategy, several scholars studied control synchronization of two ERs in the vibration system with symmetric structure. Considering the engineering requirement, this paper studied control synchronization of two ERs in the vibration system with the asymmetric structure. For this type of nonlinear system, this paper uses discrete-time sliding mode control (DSMC) to carry out the experimental research [25, 26]. −mM0φ,_ c2i )x]i, carψci tana[rfctxaφ_ni[/(fkψxφ_−i/(Mkψφ_ 2i−)]J,ψcφ_y2ii)], and i 1, 2
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