论文标题
具有未知开关信号的连续时间开关线性系统的有限数据速率反馈稳定
Finite Data-Rate Feedback Stabilization of Continuous-Time Switched Linear Systems with Unknown Switching Signal
论文作者
论文摘要
在本文中，我们研究了只有有限的有关状态的信息和系统模式可用的稳定开关线性系统的问题，这在许多涉及网络开关系统（例如网络物理系统，物联网等）的应用中发生。首先，我们表明具有任意切换的切换线性系统，即对开关信号没有限制，通常在有限的数据速率的情况下无法稳定。然后，利用这一结果，我们将注意力限制在满足相当温和的慢速转换假设的系统上，从某种意义上说，开关信号的平均停留时间远离零。我们表明，在这个假设下，在经典意义上可以稳定的切换线性系统在有限的数据速率的情况下仍然可以稳定。提出了稳定系统的实用编码器控制器，并在数值示例中证明了其适用性。
In this paper, we study the problem of stabilizing switched linear systems when only limited information about the state and the mode of the system is available, which occurs in many applications involving networked switched systems (such as cyber-physical systems, IoT, etc.). First, we show that switched linear systems with arbitrary switching, i.e., with no constraint on the switching signal, are in general not stabilizable with a finite data rate. Then, drawing on this result, we restrict our attention to systems satisfying a fairly mild slow-switching assumption, in the sense that the switching signal has an average dwell time bounded away from zero. We show that under this assumption, switched linear systems that are stabilizable in the classical sense remain stabilizable with a finite data rate. A practical coder-controller that stabilizes the system is presented and its applicability is demonstrated on numerical examples.
