Abstract
At present, most systems with good performance have more parameters. However, increasing the number of parameters lead to increasing the difficulties of parameter optimization, thus reducing the system’s feasibility. To solve this problem, a model of controllable coupled stochastic resonance system is proposed. Firstly, the formula of the output signal-to-noise ratio of the model is derived and analyzed. Then the accuracy of the formula’s derivation and results is proved by numerical simulation. It provides a theoretical basis for adjusting the parameters and coupled coefficients of the control system to induce a stochastic resonance in the controlled system or make it much stronger. Finally, better system parameters are obtained by genetic algorithm for the controlled system (tristable system), and then better system performance is obtained by adjusting the parameters and coupled coefficient of the control system (monostable system). The model is applied into the bearing fault detection and the results show that the model achieves better performance without increasing the complexity of parameter optimization, and has great practical value in weak signal detection.
Highlights
Weak signal detection have become a hot spot currently because weak signal processing is widely used in medical, biology, geology, materials science, physical mechanics and other disciplines
In order to verify that the constructed tristable system has good system performance under appropriate parameters, the controlled system and the classical tristable stochastic resonance system are simultaneously applied with a genetic algorithm to obtain better system parameters
In this paper, a special coupling method is proposed, which does not have the disadvantage of high cost in parameter optimization of coupled system
Summary
Weak signal detection have become a hot spot currently because weak signal processing is widely used in medical, biology, geology, materials science, physical mechanics and other disciplines. A controllable stochastic resonance coupled system, which obtains better performance and make the system more convenient in various application scenarios, is proposed. It is consisted of a simple monostable system linearly coupled with a tristable system which has high performance but a large number of parameters. The control system (monostable system) will reduce the number of parameters as much as possible It is known from references [6], [17]–[19] that the linear segmentation method can be used to overcome the saturation of the system and improve the performance. The system can be applied to all kinds of practical application scenarios and ensure the excellent performance of the system
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