一类多时变时滞T-S模糊广义系统的容许控制

Admissible Control for a Class of T-S fuzzy Descriptor Systems with Multiple Time-varying Delays

研究了一类具有多时变时滞的T-S模糊广义系统的容许控制问题。首先,给出了多时变时滞的T-S模糊广义系统数学模型,并且利用Lyapunov稳定性分析方法,得到了多时变时滞的T-S模糊广义系统的容许的一个充分条件,所得的结果对时变时滞的变化率没有限制。该充分条件可以通过严格线性矩阵不等式来求解。然后基于所给出的容许性定理,提出了状态反馈控制器的设计方法.最后,使用算例说明了所给方法的可行性和有效性。

The problem of admissible control for a class of T - S fuzzy descriptor systems with multiple time - varying delays is dis- cussed. Firstly, the mathematical model of T - S fuzzy Descriptor Systems with Multiple Time - varying Delays is given, and based on Lyapunov method, a sufficient condition is obtained, which ensures that the system is admissible. The results presented in this paper have no restriction on the derivative of time - varying delays. This condition can be solved by the strict linear matrix inequality. Then, a design method for state feedback controller of the system is presented. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed method.