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首页> 外文期刊>ISA Transactions >Observer-based robust finite time H-infinity sliding mode control for Markovian switching systems with mode-dependent time-varying delay and incomplete transition rate
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Observer-based robust finite time H-infinity sliding mode control for Markovian switching systems with mode-dependent time-varying delay and incomplete transition rate

机译：具有模式相关时变时滞和不完全转换率的马尔可夫切换系统基于观测器的鲁棒有限时间H-∞滑模控制

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This paper investigates the problem of robust finite time H-infinity 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-infinity 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. (C) 2015 ISA. Published by Elsevier Ltd. All rights reserved.
机译：本文研究了一类马尔可夫切换系统的鲁棒有限时间H-无限滑模控制问题。该系统受到与模式有关的时变延迟，部分未知的转换速率和无法测量的状态。主要的困难在于，不能直接基于未知的跃迁速率和无法测量的状态来设计滑模表面。为了克服这一障碍，首先将模式集分为代表已知转换速率子集和未知的两个子集，基于这些子集建立状态观察器。还设计了组件鲁棒的有限时间滑模控制器，以应对部分未知的过渡速率的影响。结果表明，尽管过渡速率未知，但仍可以确保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无限状态反馈稳定。最后，仿真结果验证了鲁棒有限时间控制问题的有效性。 （C）2015 ISA。由Elsevier Ltd.出版。保留所有权利。

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