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首页> 外文期刊>Optimal Control Applications and Methods >Improved approach for passive stability of discrete-time Markovian jump linear systems via mode-dependent time-delayed controllers
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Improved approach for passive stability of discrete-time Markovian jump linear systems via mode-dependent time-delayed controllers

机译：依赖于模式的时滞控制器的离散时间马尔可夫跳跃线性系统被动稳定性的改进方法

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摘要

In this paper, we investigate the problem of passive stability for discrete-time Markovian jump linear systems via mode-dependent time-delayed controllers by employing an improved free-weighting matrix approach. A Markov process as discrete-time, discrete-state Markov process is considered. First, a new result of mode-dependent stability analysis is first established for error systems without ignoring any terms in the derivative of Lyapunov-Krasovskii function by considering the relationship between the time-varying delay and its upper bound. Then, the delay-dependent passivity criterion is provided and a mode-dependent time-delayed controller is designed in terms of linear matrix inequalities. Finally, two numerical examples are given to illustrate the effectiveness and less conservativeness of our proposed method.
机译：在本文中，我们采用改进的自由加权矩阵方法，通过依赖于模式的时滞控制器，研究了离散时间马尔可夫跳跃线性系统的被动稳定性问题。考虑将马尔可夫过程作为离散时间，离散状态马尔可夫过程。首先，首先通过考虑时变时延及其上限之间的关系，为误差系统建立了模式相关稳定性分析的新结果，而没有忽略Lyapunov-Krasovskii函数导数中的任何项。然后，提供了依赖于延迟的无源准则，并根据线性矩阵不等式设计了依赖于模式的时滞控制器。最后，通过两个数值例子说明了该方法的有效性和保守性。

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