Finite-time asynchronous sliding mode control for Markovian jump systems
Finite-time asynchronous sliding mode control for Markovian jump systems
复制标题
马尔可夫跳跃系统的有限时间异步滑模控制
DOI：
10.1016/j.automatica.2019.108503
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发表时间：
2019-11
期刊：
影响因子：
6.4
通讯作者：
Gui Weihua
中科院分区：
文献类型：
--
作者：
Li Fanbiao;Du Chenglong;Yang Chunhua;Wu Ligang;Gui Weihua
本文基于平均停留时间方法，研究了传感器和执行器故障信号下马尔可夫跳变系统的有限时间异步滑模控制方案。首先，针对系统存在状态不可测和间接获取原系统跳变信息的非同步现象，提出了一种异步随机混合模型。平均停留时间技术，它有能力补偿任意切换的影响，通过产生一系列的信号，以调节/选择适当的反馈马尔可夫切换信号之间的马尔可夫链，在滑动模式动态的到达阶段和滑动运动阶段。其次，基于异步随机混合模型，设计了一种与模型相关的滑模面函数。此外，SMC法律的合成，使系统的状态轨迹可以驱动到指定的滑动表面在规定的有限时间。第三，采用有限时间分析方法，结合模态相关的李雅普诺夫函数，保证了滑模动力学在到达阶段和滑动阶段的有限时间有界性，大大降低了设计保守性。第四，给出了异步控制器增益矩阵可解的充分条件，并给出了一种辅助计算滑模控制器增益的算法。最后，数值例子来说明所提出的新的设计技术的有效性。
In this research article, the finite-time asynchronous sliding mode control (SMC) scheme for Markovian jump systems (MJSs) subject to sensor and actuator faulty signals, is investigated based on the average dwell time approach. Firstly, an asynchronous stochastic hybrid model is proposed in the light of the existing non-synchronization phenomenon of unmeasurable state and indirect access to jump information of original systems. The average dwell time technique, which has the ability to compensate the effects of arbitrary switching by generating a sequence of signals to regulate/choose an appropriate feedback Markov switching signal among the Markov chains, is developed during the reaching phase and sliding motion phase of the sliding mode dynamics. Secondly, based on the asynchronous stochastic hybrid model, a mode-dependent sliding mode surface function is designed. Moreover, the SMC law is synthesized such that the system state trajectories can be driven onto the specified sliding surface in a prescribed limited time. Thirdly, the finite-time analysis method combining with a mode-dependent Lyapunov function, which can reduce drastically the design conservatism, is adopted to guarantee the finite-time boundedness of the sliding mode dynamics both in the reaching phase and sliding motion phase. Fourthly, sufficient conditions are interpreted for the solutions of asynchronous controller gain matrices and an algorithm is provided to assist computing the SMC gain as an auxiliary tool. Finally, a numerical example is given to illustrate the effectiveness of the proposed new design techniques.
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DOI：
10.1109/tmech.2017.2707389
发表时间：
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期刊：
IEEE/ASME Transactions on Mechatronics
影响因子：
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作者：
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