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首页> 外文期刊>IEEE Transactions on Automatic Control >Analysis of Stochastic Switched Systems With Application to Networked Control Under Jamming Attacks
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Analysis of Stochastic Switched Systems With Application to Networked Control Under Jamming Attacks

机译：随机切换系统的分析及其在干扰攻击下的网络控制

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摘要

We investigate the stability problem for discrete-time stochastic switched linear systems under the specific scenarios where information about the switching patterns and the probability of switches are not available. Our analysis focuses on the average number of times each mode becomes active in the long run and, in particular, utilizes their lower and upper bounds. This setup is motivated by cyber security issues for networked control systems in the presence of packet losses due to malicious jamming attacks where the attacker's strategy is not known a priori. We derive a sufficient condition for almost sure asymptotic stability of the switched systems that can be examined by solving a linear programming problem. Our approach exploits the dynamics of an equivalent system that describes the evolution of the switched system's state at every few steps; the stability analysis may become less conservative by increasing the step size. The computational efficiency is further enhanced by exploiting the structure in the stability analysis problem, and we introduce an alternative linear programming problem that has fewer variables. We demonstrate the efficacy of our results by analyzing networked control problems where communication channels face random packet losses as well as jamming attacks.
机译：我们研究了在特定情形下离散时间随机切换线性系统的稳定性问题，在这种情况下，关于切换模式和切换概率的信息不可用。我们的分析着眼于每种模式从长期来看处于活动状态的平均次数，尤其是利用它们的上限和下限。这种设置是由网络控制系统的网络安全问题引起的，在这种情况下，由于恶意干扰攻击导致数据包丢失，在这种情况下攻击者的策略是先验未知的。我们为交换系统的几乎肯定的渐近稳定性导出了一个充分的条件，可以通过解决线性规划问题来对其进行检验。我们的方法利用了等效系统的动态特性，该动态特性描述了交换系统每隔几步的状态变化。通过增加步长，稳定性分析可能会变得不那么保守。通过在稳定性分析问题中利用结构进一步提高了计算效率，并且我们引入了变量较少的替代线性规划问题。我们通过分析网络控制问题来证明我们的结果的有效性，其中通信信道面临随机数据包丢失以及干扰攻击。

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