The coarsest logarithmic quantizers for stabilization of linear systems with packet losses
The coarsest logarithmic quantizers for stabilization of linear systems with packet losses
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DOI：
10.1109/cdc.2007.4434641
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发表时间：
2007-12
期刊：
影响因子：
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通讯作者：
Hiroto Hoshina;K. Tsumura;H. Ishii
中科院分区：
文献类型：
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作者：
Hiroto Hoshina;K. Tsumura;H. Ishii
在本文中，我们考虑推导出的粗记忆量化器，它可以稳定的单输入离散时间线性时不变系统的随机二次稳定性的意义下，随机丢包。我们证明了粗糙度的上界严格由丢包概率和植物的不稳定极点给出。我们进一步处理允许的死区宽度周围的量化器和时变有限量化器的原点，以实现控制使用有限的量化步骤。
In this paper, we consider to derive the coarsest memory-less quantizer which can stabilize a single-input discrete-time linear time-invariant system with stochastic packet loss in the sense of stochastic quadratic stability. We show that the upper bound of the coarseness is strictly given by the packet loss probability and the unstable poles of the plants. We furthermore deal with permissible dead-zone width around the origin of the quantizers and time-varying finite quantizers in order to realize control using finite quantization steps.