This paper studies the finite-time filter design of semi-Markov jump system by Takagi-Sugeno (T-S) fuzzy rules. Asynchronous mode-dependent delays are concerned to describe more practical random features, which implies that the semi-Markov process of system state is different from another semi-Markov process of mode-dependent time-varying delays. With the help of model transformation as well as mode-dependent Lyapunov-Krasovskii function method, sufficient criteria are first established for maintaining finite-time passivity performance of filtering errors. Then, the matrix technique is employed to synthesize the filter gain design. In the end, the applicableness and effectiveness of our developed results are confirmed by an illustrative example.

本文研究了利用Takagi-Sugeno(TS)模糊规则设计半马尔可夫跳跃系统的有限时间滤波器。异步模式相关时滞关注的是描述更实用的随机特征，这意味着系统状态的半马尔可夫过程不同于另一个模式相关时变时滞的半马尔可夫过程。借助模型变换以及依赖于模态的Lyapunov-Krasovskii函数方法，首先建立了足够的准则来保持滤波误差的有限时间无源性能。然后，采用矩阵技术综合滤波器增益设计。最后，通过一个说明性的例子证实了我们开发结果的适用性和有效性。