New Results of Observer Design for Continuous-Time Fuzzy Systems: A Switching Technique
针对前提变量可微时隶属函数导数恒正或恒负的情况，利用平均驻留时间技术设计切换观测器和控制器，使模糊系统全局指数渐近稳定，并给出两种矩阵分块求解方法。
It is observed that if the premise variables are differentiable, the time derivatives of membership functions are positive or nonpositive. Based on the above fact, the switching observer gains and controller gains are designed to guarantee that the fuzzy system is globally exponentially asymptotically stable by applying the average dwell-time (ADT) technique. In addition, two methods are proposed to find the controller gains and observer gains by dividing the matrices into <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$3\times 1$ </tex-math></inline-formula> blocks or <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$2\times 2$ </tex-math></inline-formula> blocks. Finally, two examples are given to verify the conclusion.