Fuzzy model of hyperchaotic laser systems with parameters perturbation
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摘要: 研究了存在参数微扰的激光超混沌系统的Takagi-Sugeno (T-S) 模糊模型的逼近性及建立问题。分析了存在参数微扰的激光超混沌系统的动力学特性。基于典型T-S模糊系统的建模原理，研究了激光超混沌T-S模糊系统的通用逼近性，通过确定非线性关键变量、模糊隶属度函数及模糊规则，建立了激光超混沌系统的T-S模糊模型。仿真结果表明，所建立的模糊模型能够有效逼近存在参数微扰的激光超混沌系统。
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关键词:
- 激光超混沌系统 /
- 参数微扰 /
- 通用逼近性 /
- Takagi-Sugeno模糊系统
Abstract: This paper investigates a problem of universal approximation and modeling, which is used for the Takagi-Sugeno fuzzy model of hyperchaotic laser systems with parameters perturbation. Firstly, hyperchaos dynamics in laser system with parameters perturbation is analyzed. Then, based on the typical modeling principle of Takagi-Sugeno (T-S) fuzzy systems, the universal approximation of laser hyperchaos Takagi-Sugeno fuzzy systems is studied. To achieve a T-S fuzzy model of hyperchaotic laser system, the key variables of nonlinearity, fuzzy membership function and fuzzy rules are identified according to the dynamics of hyperchaotic systems. Finally, the simulation results show that the proposed model can effectively approximate the hyperchaotic laser system with parameters perturbation. -
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