Finite-time H ∞ control for a class of singular Markovian jump systems subject to actuator saturation
Finite-time H ∞ control for a class of singular Markovian jump systems subject to actuator saturation
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DOI：
10.1177/0142331220905754
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发表时间：
2020-03
影响因子：
1.8
通讯作者：
Junjie Zhao;Bo Li;S. Wo;Erlin Zhu;Xiaoxin Han
中科院分区：
文献类型：
--
作者：
Junjie Zhao;Bo Li;S. Wo;Erlin Zhu;Xiaoxin Han
这项工作考虑了受饱和执行器影响的一类奇异马尔可夫跳跃延迟系统的有限时间控制问题。通过采用局部扇区条件和适当的李亚普诺夫函数，设计了基于观测器的状态反馈控制器，以保证所得闭环约束系统是均方局部有限时间稳定的。解决该问题的一些充分条件是根据线性矩阵不等式导出的。最后，提供两个数值例子来证明所提方法的有效性。
This work considers the finite-time control problem for a class singular Markovian jump delayed systems subject to saturating actuators. By employing local sector conditions and an appropriate Lyapunov function, a observer-based state feedback controller is designed to guarantee that the resulted closed-loop constrained system is mean-square locally finite-time stabilizable. Some sufficient conditions for the solution to this problem are derived in terms of linear matrix inequalities. Finally, two numerical examples are provided to demonstrate the effectiveness of proposed method.