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Stochastic Resonance Control by Coupling Two Fractional Bistable Systems
Yongjun Zheng,Fei Wang,Shan-an Zhu 보안공학연구지원센터 2014 International Journal of Control and Automation Vol.7 No.11
In order to enhance or produce stochastic resonance (SR), to obtain the required output response with specific properties, two bistable systems based on fractional over-damped Langevin equation are coupled into one multi-steady-state system via nonlinear method, one fractional bistable system where inherent parameters can be controlled is fed into the other system, the kinetic characteristics of the new coupled system is found much richer than each single fractional system. Theoretical analysis and numerical simulation results show that the SR can be enhanced or produced by adjusting parameters as coupling coefficient, fractional system inherent parameters as well as the external periodical signal amplitude while another fractional system’s parameters fixed. The coupled system has high practical value, which provides a reliable theoretical basis for the control and its applications of artificially generated stochastic resonance.
Huaili Zheng,Tiroyaone Tshukudu,Xuebin Hua,Jun Yang,Mingzhuo Tan,Jiangya Ma,Yongjun Sun,Guocheng Zhu 한국화학공학회 2013 Korean Journal of Chemical Engineering Vol.30 No.3
Response surface method and experimental design were applied as alternatives to the conventional methods for optimization of the coagulation test. A central composite design was used to build models for predicting and optimizing the coagulation process. The model equations were derived using the least square method of the Minitab 16 software. In these equations, the removal efficiency of turbidity and COD were expressed as second-order functions of the coagulant dosage and coagulation pH. By applying RSM, the optimum condition using PFPD1 was coagulant dosage of 384 mg/L and coagulation pH of 7.75. The optimum condition using PFPD2 was coagulant dosage of 390 mg/L and coagulation pH of 7.48. Confirmation experiment demonstrated a good agreement between experimental values and model predicted. This demonstrates that RSM and CCD can be successfully applied for modeling and optimizing the coagulation process using PFPD1 and PFPD2.