Observer-based robust finite time H∞ sliding mode control for Markovian switching systems with mode-dependent time-varying delay and incomplete transition rate.
Observer-based robust finite time H∞ sliding mode control for Markovian switching systems with mode-dependent time-varying delay and incomplete transition rate.
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DOI：
10.1016/j.isatra.2015.12.013
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发表时间：
2016-03
期刊：
影响因子：
7.3
通讯作者：
Lijun Gao;Xiaoxiao Jiang;Dandan Wang
中科院分区：
文献类型：
--
作者：
Lijun Gao;Xiaoxiao Jiang;Dandan Wang
研究了一类马尔可夫切换系统的鲁棒有限时间H∞滑模控制问题。系统具有模态相关的时变延迟、部分未知的过渡速率和不可测量的状态。主要的困难是不能直接基于未知的跃迁速率和不可测状态来设计滑模曲面。为了克服这一障碍，首先将模式集分为已知转移率子集和未知转移率子集两个子集，在此基础上建立状态观测器。设计了一种分量鲁棒有限时间滑模控制器，以应对过渡速率部分未知的影响。结果表明，滑模动力学的可达性、有限时间稳定性、有限时间有界性、有限时间H∞状态反馈镇定性在过渡速率未知的情况下是可以保证的。最后，仿真结果验证了鲁棒有限时间控制问题的有效性。
This paper investigates the problem of robust finite time H∞ sliding mode control for a class of Markovian switching systems. The system is subjected to the mode-dependent time-varying delay, partly unknown transition rate and unmeasurable state. The main difficulty is that, a sliding mode surface cannot be designed based on the unknown transition rate and unmeasurable state directly. To overcome this obstacle, the set of modes is firstly divided into two subsets standing for known transition rate subset and unknown one, based on which a state observer is established. A component robust finite-time sliding mode controller is also designed to cope with the effect of partially unknown transition rate. It is illustrated that the reachability, finite-time stability, finite-time boundedness, finite-time H∞ state feedback stabilization of sliding mode dynamics can be ensured despite the unknown transition rate. Finally, the simulation results verify the effectiveness of robust finite time control problem.