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非线性不确定时滞系统的模糊输出反馈H_∞控制
Fuzzy Control of Output Feedback H_∞in Nonlinear Systems with Uncertain Time Deleys
【摘要】 为提高具有变时滞的非线性不确定动态系统的动态性能,研究了模糊鲁棒输出反馈H_∞控制问题。基于线性矩阵不等式(Linear matrix inequality,LMI)技术和T-S模糊模型,首先利用Lyapunov稳定性定理,得到模糊输出反馈控制器存在的一个充分条件,在此基础上,通过构造算法,将该条件转化为易于实现的LMI形式,导出控制器设计方法。设计的模糊输出反馈控制器使得闭环系统渐近稳定且满足H_∞范数指标。实例仿真证明了该设计方法可行.
【Abstract】 The fuzzy control of the output feedback is researched to improve the dynamic performance of nonlinear systems with uncertain time delays.Based on the linear matrix inequality(LMI)technique and the T-S fuzzy model,the Lyapunov stability theorem is used to obtain a sufficient condition for the exis- tence of the fuzzy controller for the output feedbeek.Then an algorithm is constructed to transform the sufficient condition into a LMI form,thus obtaining a method for designing the controller.The designed controller guarantees the closed-loop system to be asympototically stable and meets a H_∞norm level. The simulation shows that the method is applicable.
- 【文献出处】 南京航空航天大学学报 ,Journal of Nanjing University of Aeronautics & Astronautics , 编辑部邮箱 ,2006年S1期
- 【分类号】TP13
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