Abstract
Mechanical resonance is one of the most pervasive problems in servo control. Closed-loop simulations are requisite when the servo control system with high accuracy is designed. The mathematical model of resonance mode must be considered when the closed-loop simulations of servo systems are done. There will be a big difference between the simulation results and the real actualities of servo systems when the resonance mode is not considered in simulations. Firstly, the mathematical model of resonance mode is introduced in this paper. This model can be perceived as a product of a differentiation element and an oscillating element. Secondly, the second-order differentiation element is proposed to simulate the resonant part and the oscillating element is proposed to simulate the antiresonant part. Thirdly, the simulation approach for two resonance modes in servo systems is proposed. Similarly, this approach can be extended to the simulation of three or even more resonances in servo systems. Finally, two numerical simulation examples are given.
Highlights
Servo system is a feedback control system that is used to follow or reproduce a process accurately
The simulation approach for multiple resonance modes in servo systems is proposed in this paper
The mathematical model of resonance modes is introduced in this paper
Summary
Servo system is a feedback control system that is used to follow or reproduce a process accurately. From the transfer function of the system, it often contains a pair of conjugate zeroes and poles, which lead to mechanical resonance phenomenon This phenomenon is more obvious in the junction of feedback sensor and load connection in servo system [8]. It causes mechanical deformation and greatly reduces the mechanical structure and even produces environmental pollution, and so on. The simulation of closed-loop is requisite when analyzing the influence of the resonance modes in servo system. The mathematical model of the resonance mode must be considered in the simulation; otherwise the closed-loop simulation results will differ from the actual servo system greatly. The simulation approach for multiple resonance modes in servo systems is proposed in this paper
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