一类T-S模糊广义系统的无源控制

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研究了一类T-S模糊广义系统的无源控制问题.通过矩阵分解方法,证明了这类系统容许的充分必要条件.在此基础上,将严格无源的概念引入到T-S模糊广义系统中,得到了使闭环系统容许、严格无源的充分条件,并将此条件用线性矩阵不等式(LMIs)表示.通过解这些矩阵不等式得到状态反馈增益矩阵.这个充分条件,可以一次判定系统的容许、严格无源.最后的数值算例说明所给方法的可行、有效. The problem of passive control for a class of TS fuzzy singular systems is studied. The sufficient and necessary conditions for such systems to be tolerated are proved by the matrix decomposition method. On this basis, the strict passive concept is introduced into the TS fuzzy generalized system, The sufficient conditions for the closed-loop system to be tolerant and strictly passive are presented, and the conditions are expressed by the linear matrix inequalities (LMIs). By solving these matrix inequalities, the state feedback gain matrix is ​​obtained. This sufficient condition allows the system to be allowed once, The final numerical example shows that the given method is feasible and effective.
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