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基于T-S模型的鲁棒模糊滑模观测器LMI设计方法

Design of robust fuzzy sliding-mode observer based on T-S model by LMI approach

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【作者】 申忠宇赵瑾顾幸生沈世斌

【Author】 SHEN Zhong-yu~1,ZHAO Jin~1,GU Xing-sheng~2,SHEN Shi-bin~1 (1.School of Electrical and Automation Engineering,Nanjing Normal University,Nanjing 210042,China; 2.School of Information Science and Engineering,East China University of Science & Technology, Shanghai 200237,China)

【机构】 南京师范大学 电气与自动化工程学院华东理工大学 信息科学与工程学院

【摘要】 采用模糊T-S模型描述一类匹配不确定的非线性系统,结合滑模观测器设计原理,提出基于T-S模糊模型的鲁棒模糊滑模观测器设计方法。采用Lyapunov函数作为稳定模糊观测器的判别条件,使设计的观测器一致收敛,状态估计达到预期的指标;运用LMI和区域极点配置方法,设计鲁棒模糊滑模观测器的综合算法;将该设计方法应用于倒立摆的平衡控制系统进行相应的数字仿真,验证其可行性。

【Abstract】 A class of the matched uncertain nonlinear systems was described by the Takagi-Sugeno(T-S) fuzzy dynamic model,and a new method of designing the robust fuzzy sliding mode observer based on T-S fuzzy model was proposed by applying the sliding-mode observer design principle.The Lyapunov function was used as the critical condition that ensures the consistent convergence of the designed observers and the anticipative results of the states estimation.Then, the synthesis arithmetic of robust fuzzy sliding mode observer was designed by using LMI and pole placement approach, where the designed observer parameters were obtained by convex programming techniques for LMIs.Finally,the numerical simulation results were presented to demonstrate the design method and its effectiveness for an inverted pendulum.

【基金】 江苏省高校自然科学基础研究资助项目(08KJD510016);上海市基础研究重点资助项目(08JC1408200)
  • 【会议录名称】 2009年中国智能自动化会议论文集(第六分册)[中南大学学报(增刊)]
  • 【会议名称】2009年中国智能自动化会议
  • 【会议时间】2009-09-27
  • 【会议地点】中国江苏南京
  • 【分类号】TP13
  • 【主办单位】中国自动化学会智能自动化专业委员会、江苏省自动化学会
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