Stabilization of Networked Control Systems Under Clock Offsets and Quantization
Stabilization of Networked Control Systems Under Clock Offsets and Quantization
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DOI：
10.1109/tac.2017.2753938
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发表时间：
2018-06
影响因子：
6.8
通讯作者：
Kunihisa Okano;M. Wakaiki;Guosong Yang;J. Hespanha
中科院分区：
文献类型：
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作者：
Kunihisa Okano;M. Wakaiki;Guosong Yang;J. Hespanha
研究了时钟失配和量化对网络控制系统的影响。我们考虑的情况下，工厂的状态是由一个传感器，通过网络与控制器进行通信。可变的通信延迟和时钟抖动不允许传感器和控制器的时钟之间的完美同步。我们调查的时钟偏移容忍的反馈系统的稳定的限制。对于一个标量值状态的过程，我们证明了存在一个紧界上的偏移量以上的闭环系统不能稳定与任何因果控制器。对于高维植物，如果植物有两个不同的极点，那么时钟失配的影响可以用有限数量的测量来抵消，因此没有根本的限制。我们还考虑的情况下，除了时钟不匹配的测量受到量化。对于一阶植物，我们提出了必要条件和充分条件的稳定性，这表明，一个更大的时钟偏移需要一个更精细的量化。
This paper studies the impact of clock mismatches and quantization on networked control systems. We consider a scenario where the plant's state is measured by a sensor that communicates with the controller through a network. Variable communication delays and clock jitter do not permit a perfect synchronization between the clocks of the sensor and controller. We investigate limitations on the clock offset tolerable for stabilization of the feedback system. For a process with a scalar-valued state, we show that there exists a tight bound on the offset above which the closed-loop system cannot be stabilized with any causal controllers. For higher dimensional plants, if the plant has two distinct poles, then the effect of clock mismatches can be canceled with a finite number of measurements, and hence there is no fundamental limitation. We also consider the case where the measurements are subject to quantization in addition to clock mismatches. For first-order plants, we present necessary conditions and sufficient conditions for stabilizability, which show that a larger clock offset requires a finer quantization.