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arXiv 2409.03398eess.SYcs.SY
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具有间歇状态观测的有限容量随机控制回路中用于 $\mathcal{L}_2$ 镇定的递归量化

Recursive Quantization for $\mathcal{L}_2$ Stabilization of a Finite Capacity Stochastic Control Loop with Intermittent State Observations

Shrija Karmakar, Ritwik Kumar Layek

AI总结:

本文针对具有间歇状态观测和有限容量信道的随机控制回路,提出新的间歇参数界和递归量化算法,在伯努利与马尔可夫间歇模型下实现标量及向量不稳定被控对象的 $\mathcal{L}_2$ 镇定。

摘要:

本文在不同约束条件下研究了状态反馈随机控制回路的 $\mathcal{L}_2$ 镇定问题。所选的离散时间线性时不变(LTI)开环被控对象是不稳定的。加性高斯白噪声被假设为平稳的。被控对象与控制器之间的链路被假设为有限容量的平稳信道,这对传输的比特率施加了约束。此外,被控对象的状态仅被间歇性地观测,使得回路在某些时段保持开环。本文研究了伯努利间歇模型和马尔可夫间歇模型下的标量和向量被控对象。为保证 $\mathcal{L}_2$ 稳定性,获得了关于间歇参数的新颖界。此外,开发了新颖的递归量化算法,以在所有约束条件下实现镇定方案。文中提供了合适的说明性示例来阐明主要结果。

英文摘要:

The problem of $\mathcal{L}_2$ stabilization of a state feedback stochastic control loop is investigated under different constraints. The discrete time linear time invariant (LTI) open loop plant is chosen to be unstable. The additive white Gaussian noise is assumed to be stationary. The link between the plant and the controller is assumed to be a finite capacity stationary channel, which puts a constraint on the bit rate of the transmission. Moreover, the state of the plant is observed only intermittently keeping the loop open some of the time. In this manuscript both scalar and vector plants under Bernoulli and Markov intermittence models are investigated. Novel bounds on intermittence parameters are obtained to ensure $\mathcal{L}_2$ stability. Moreover, novel recursive quantization algorithms are developed to implement the stabilization scheme under all the constraints. Suitable illustrative examples are provided to elucidate the main results.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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