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Chen混沌系统的模糊控制 被引量:1

Fuzzy Control for Chen Chaotic System
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摘要 由于T-S模糊模型可以精确地逼近一类仿射非线性系统,所以可以用T-S模糊模型来逼近Chen混沌系统,并应用模糊系统的控制理论求得模糊控制器,以达到良好的控制效果。基于此方法并用并行分散补偿(PDC)方法设计了两个控制器来镇定Chen混沌系统,其中第一个控制器的条件比较保守,第二个控制器的条件在第一个条件的基础上作了改进,得到具有较少保守性的镇定性条件。控制器的所有参数可以通过求解一组线性矩阵不等式得到。用MATLAB仿真的结果显示了PDC控制方法的良好的控制效果。 For the sake of good control effect, T - S fuzzy model is used to approach Chen chaotic system and fuzzy controllers are obtained by applying the control theory of fuzzy system because the T - S fuzzy model can approach exactly a class of affine nonlinear system. Based on such method and Parallel Distributed Compensation ( PDC), two controllers are designed to stabilize Chen chaotic system. The first one is more conservative than the second one and the second one is improved based on the first one. All the parameters of the controllers can be obtained by solving a linear matrix inequality. It has been proved by the result of illustrative examples that PDC method can achieve an effective control.
出处 《计算机仿真》 CSCD 2007年第3期149-151,183,共4页 Computer Simulation
关键词 模糊模型 混沌系统 线性矩阵不等式 仿射非线性系统 Fuzzy model Chaotic system Linear matrix inequality Affine nonlinear system
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