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一类非线性时滞系统的实时模糊控制器设计
Design of Real-time Fuzzy Controller for a Class of Nonlinear Systems with Time-delay
【摘要】 分析了现有Takagi Sugeno型模糊控制器设计方法计算复杂且难以求解的原因。在此基础上,提出了一种与系统实时输入相关的动态模型简化算法。同时,针对一类采用该动态简化Takagi Sugeno模型描述的非线性时滞系统,利用Lyapunov稳定性分析理论和线性矩阵不等式等工具推导了闭环系统的可镇定条件,进而设计了相应的Takagi Sugeno型模糊状态反馈控制器。实验结果表明这种模型简化方法可以减少求解的约束条件,增加了找到解的可能性。
【Abstract】 It is analyzed why the design methods of Takagi-Sugeno fuzzy controller introduced in literatures are complex and difficult to find the ordinary solutions. Based on that, the dynamical fuzzy model simplified algorithm related to the real-time system input variables set is presented. And for a class of nonlinear time-delay systems expressed with dynamical simplified Takagi-Sugeno model, the conditions of stabilizing closed-system are derived and the stabilizing fuzzy state feedback controller is designed through Lyapunov stability analysis theory and linear matrix inequality respectively. The results of experiment indicates that the algorithm proposed can reduce the constraint conditions for searching solution and increase the chance of finding the solution.
【Key words】 fuzzy control; Takagi-Sugeno model; time-delay; linear matrix inequality;
- 【文献出处】 控制工程 ,Control Engineering of China , 编辑部邮箱 ,2004年02期
- 【分类号】TP273.4
- 【被引频次】9
- 【下载频次】81