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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 admissible control problem for a class of T-S fuzzy generalized systems with multiple time-varying delays is studied. First, the TS fuzzy generalized system mathematical model with multiple time-varying delays is given. By using Lyapunov stability analysis, a sufficient condition for the TS fuzzy generalized system with multiple time-varying delays is obtained. The results obtained show that the time- Hysteresis rate of change is unlimited. The sufficient condition can be solved by strict linear matrix inequality. Then, based on the given admissibility theorem, a design method of the state feedback controller is proposed. Finally, an example is given to illustrate the feasibility and effectiveness of the proposed method.