一类不确定多输入模糊双线性系统的输出反馈控制

Output Feedback Control for a Class of Uncertain Multiple Input Fuzzy Bilinear Systems

针对一类具有范数有界参数不确定性的多输入模糊双线性系统,在系统的状态不完全可测的情况下,提出一种模糊镇定控制方法。设计模糊观测器估计系统的状态,基于模糊观测器,设计模糊控制器保证闭环系统的渐近稳定性。模糊控制器可以通过求解线性矩阵不等式(LMI)求得。仿真示例验证了设计方法的有效性。

A fuzzy stabilization control approach is proposed for a class of uncertain multiple input fuzzy bilinear systems with unmeasurable states. A fuzzy observer is designed to estimate the unmeasurable states. Based on the developed observer, a fuzzy output feedback controller is proposed to guarantee the closed-loop system is asymptotically stable. The proposed fuzzy controller is obtained by solving linear matrix inequalities （LMIs）. An example is provided to show the effectiveness of the control method.