模糊系统的静态输出反馈控制

Static Output Feedback Stabilization of Fuzzy Systems : an ILMI Approach

对一类非线性系统利用模糊 T- S模型进行建模 ,研究了静态输出反馈控制问题。用矩阵不等式的形式给出了模糊系统可通过静态输出反馈控制的充分条件。并将矩阵不等式的条件转化为迭代线性矩阵不等式 ( ILMI) ,并给出了相应的算法。仿真结果表明所提出的控制算法是有效的。

In this paper, the static output feedback stabilization problem is addressed for a class of fuzzy dynamic systems. The Takagi-Sugeno (T-S) fuzzy model is used to represent a nonlinear system. Sufficient conditions for static output feedback stabilizability are established in the form of matrix inequality. An iterative linear matrix inequality (ILMI) algorithm is also given . A Simulation result shows the effectiveness of this algorithm.