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Network-Aware Design of State-Feedback Controllers for Linear Wireless Networked Control Systems

机译：线性无线网络控制系统的状态反馈控制器的网络感知设计

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We study the problem of stabilizing the origin of a plant, modeled as a discrete-time linear system, for which the communication with the controller is ensured by a wireless network. The transmissions over the wireless channel are characterized by the so-called stochastic allowable transmission intervals (SATI), that is a stochastic version of the maximum allowable transmission interval (MATI). Instead of deterministic transmissions, SATI gives stability conditions in terms of the cumulative probability of successful transmission over N steps. We argue that SATI is well-suited for wireless networked control systems to cope both with the stochastic nature of the communications and the design of energy-efficient communication strategies. Our objective is to synthesize a stabilizing state-feedback controller and SATI parameters simultaneously. We model the overall closed-loop system as a Markov jump linear system and we first provide linear conditions for the stability of the wireless networked control systems in a mean-square sense. We then provide linear matrix inequalities conditions for the design of state-feedback controllers to ensure stability of the closed-loop system. These conditions can be used to obtain both the controller and the SATI. A numerical example is presented to illustrate our results.
机译：我们研究了以离散时间线性系统为模型的稳定工厂起源的问题，为此，通过无线网络确保与控制器的通信。无线信道上的传输的特征在于所谓的随机允许传输间隔（SATI），即最大允许传输间隔（MATI）的随机版本。 SATI代替确定性传输，而是根据N步成功传输的累积概率给出稳定性条件。我们认为SATI非常适合无线网络控制系统，以应对通信的随机性和节能通信策略的设计。我们的目标是同时合成稳定状态反馈控制器和SATI参数。我们将整个闭环系统建模为Markov跳跃线性系统，并且首先在均方意义上为无线网络控制系统的稳定性提供线性条件。然后，我们为状态反馈控制器的设计提供线性矩阵不等式条件，以确保闭环系统的稳定性。这些条件可用于获取控制器和SATI。数值例子说明了我们的结果。

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