基于矩阵测度的非线性广义时滞系统鲁棒模糊控制

Robust fuzzy control based on matrix measure for nonlinear descriptor systems with time-delay

研究T-S模糊广义时滞系统的鲁棒控制问题.不同于传统的寻求公共正定矩阵的方法,基于矩阵测度给出保证系统鲁棒稳定的充分条件,并将此条件进一步转化为线性矩阵不等式.通过求解线性矩阵不等式,得到状态反馈控制器和静态输出反馈控制器.最后通过算例仿真验证了方法的有效性.

The robust control for T-S fuzzy descriptor systems with time-delay is discussed.Departing from traditional approaches,which find a common positive definite matrix for all rules,sufficient conditions to guarantee the robust stability for such fuzzy systems,are derived by using matrix measures of system matrices in the consequent parts of fuzzy rules.These conditions are further transformed into linear matrix inequalities.By solving linear matrix inequalities,a state feedback controller and static output feedback controller that stabilize the considered uncertain time-delay system are obtained.Finally,numerical examples are provided to illustrate the effectiveness of the proposed design method.