模糊时滞系统的记忆状态反馈控制

Memory State Feedback Control of Fuzzy Time-Delay Systems

该文研究了Takagi-Sugeno (T-S)模糊时滞系统的稳定与镇定问题。首先,选择一个近期提出的基于辅助函数的积分不等式,以线性矩阵不等式(LMIs)形式给出了保守性较小的时滞依赖的稳定性准则。其次,结合Finsler引理,首次提出了基于前提不匹配技术的模糊记忆状态反馈控制器设计方法,该前提不匹配的记忆控制器不要求与模糊系统拥有相同的隶属函数和模糊规则数目。最后,给出两个仿真算例证明所提理论的先进性和有效性。

The problems of stability and stabilization of Takagi-Sugeno (T-S) fuzzy time-delay systems are investigated in this paper. Firstly, less conservative delay-dependent stability criterion in terms of linear matrix inequalities (LMIs) is obtained by choosing a recently developed auxiliary function-based integral inequality. Secondly, combining with Finsler lemma, a fuzzy memory state feedback control design method is first time presented under the imperfect premise matching technique, while the memory controller under the imperfect premise matching technique does not be required to employ the same premise membership functions and the number of fuzzy rules as the fuzzy model. Finally, two numerical examples are given to show the progressiveness and effectiveness of the presented theory.