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首页> 外文期刊>Automatic Control, IEEE Transactions on >Robust Stability Analysis and Synthesis for Uncertain Discrete-Time Networked Control Systems Over Fading Channels
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Robust Stability Analysis and Synthesis for Uncertain Discrete-Time Networked Control Systems Over Fading Channels

机译：衰落信道上不确定离散网络控制系统的鲁棒稳定性分析与综合

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摘要

This technical note investigates uncertain discrete-time networked control systems over fading channels. It is assumed that the plant is affected by polytopic uncertainty and is connected to the controller in closed-loop via fading channels which are modeled by multiplicative noise processes. Three contributions are proposed as follows. First, it is shown that robust stability in the mean square sense of the uncertain closed-loop networked control system is equivalent to the existence of a Lyapunov function in a certain class. Second, it is shown that the existence of a Lyapunov function in such a class is equivalent to the feasibility of a set of linear matrix inequalities (LMIs). Third, it is shown that the proposed condition can be exploited for the synthesis of robust controllers ensuring robust stability in the mean square sense of the uncertain closed-loop networked control system.
机译：本技术说明研究了衰落信道上不确定的离散时间网络控制系统。假设工厂受到多位不确定性的影响，并通过衰落通道以闭环方式连接到控制器，衰落通道由乘性噪声过程建模。提出以下三点贡献。首先，证明了在不确定的闭环网络控制系统的均方意义上的鲁棒稳定性等同于某一类李雅普诺夫函数的存在。其次，证明了在此类中存在Lyapunov函数等同于一组线性矩阵不等式（LMI）的可行性。第三，表明提出的条件可以用于鲁棒控制器的合成，从而在不确定的闭环网络控制系统的均方意义上确保鲁棒稳定性。

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