An LMI-Based Controller Design of Uncertain Nonlinear Systems using Takagi-Sugeno Fuzzy Region Model

摘要：

Robust control of a class of uncertain Takagi-Sugeno (T-S) fuzzy system is investigated in the paper by using fuzzy region concept. The general uncertain T-S fuzzy model with Standard Fuzzy Partition (SFP) inputs is converted into fuzzy region ones. A Fuzzy Region Controller (FRC) is designed based on the fuzzy region concept, and sub-models in a fuzzy region share the same FRC. The relaxed stability conditions for closed-loop fuzzy region systems are derived by using Piecewise Smooth Quadratic (PSQ) Lyapunov function in terms of Linear Matrix Inequalities (LMIs). The derived stability condition, which only requires finding a local common positive definite symmetric matrix P in each operating region, can reduce the conservatism and difficulty in existing stability conditions. Finally, the feasibility and validity of this approach are demonstrated by a numerical example.

作者: Shengjian Bai Xinsheng Huang Wanying Xu Lundong Zhang

作者单位: College of Mechatronics Engineering and Automation,National University of Defense Technology,Changsh National University of Defense Technology,Changsha Hunan 410073,P.R.China

会议类型: 国际会议

会议名称: 2009 IEEE International Conference on Robotics and Biomimetics(2009 IEEE 机器人与仿生技术国际会议 ROBIO 2009)

会议地点: 桂林

会议语种:英文

页码: 1209-1214

在线出版日期: 2009-12-19（万方平台首次上网日期，不代表论文的发表时间）