不确定模糊系统的静态输出反馈-迭代算法

Static Output Feedback for Uncertain fuzzy Systems-Iterative Approach

研究连续不确定T-S模糊系统的静态输出反馈控制问题。连续不确定T-S模糊系统的静态输出反馈控制稳定性的充分条件是根据可解的双线性矩阵不等式给出的。为了计算连续不确定T-S闭环模糊系统的静态输出反馈增益,提出了基于迭代线性矩阵不等式的算法。用数值仿真例子说明了该迭代线性矩阵不等式算法的有效性和收敛性。

The static output feedback control problems of continuous uncertain T-S fuzzy systems were discussed. First, the sufficient conditions for static output feedback control stability for continuous uncertain T-S fuzzy system were given in terms of solvable bilinear matrix inequalities. Then, an algorithm based on iterative linear matrix inequality （ILMI） was proposed to compute the static output feedback gain of continuous uncertain T-S closed-loop fuzzy system. At last, a numerical simulation example was employed to illustrate the effectiveness and the convergence of the ILMI approach.