LQG Control Performance With Low-Bitrate Periodic Coding
LQG Control Performance With Low-Bitrate Periodic Coding
复制标题
低比特率周期性编码的 LQG 控制性能
DOI：
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发表时间：
2020
影响因子：
4.2
通讯作者：
R. Bitmead
中科院分区：
文献类型：
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作者：
Behrooz Amini;R. Bitmead
几个特定的低比特率编码策略，通过其对线性二次（LQ）控制性能的影响进行检查。通过将主题限制在这些方法中，我们能够识别控制编码的基本原理，这是一个最近很感兴趣但很少有形的主题，即，可实施的成果。特别是，我们考虑编码的量化输出信号部署周期两个不同的延迟与准确性的权衡代码。编码性能的量化是通过LQ控制成本在一个长的，但有限的地平线上，直到指定的平均逃逸时间。无穷时域镇定被一个失效前平均时间性质所取代，这是一个新的观点，但允许与未编码的控制器接触。反馈控制系统包括在输出和状态估计器之间的路径中的编码器-解码器，其之后是线性状态变量反馈，如在无记忆情况下最优的。静态量化器被视为一个无限长的线性阶梯函数和饱和的功能组合。这允许分析细分成估计器计算，看似独立的控制性能标准，和逃逸时间的评价，这关系到量化器饱和边界的选择控制。一个例子进行了研究，这说明了控制目标的作用，在确定使用这些计划的编码的功效。结果与在信号编码中观察到的结果吻合得很好。然而，基于实现的逃逸时间的引入是一个新奇的显著偏离均方计算和自适应技术。
Several specific low-bitrate coding strategies are examined through their effect on linear–quadratic (LQ) control performance. By limiting the subject to these methods, we are able to identify principles underlying coding for control, a subject of significant recent interest but few tangible, i.e., implementable, results. In particular, we consider coding the quantized output signal deploying period-two codes of differing delay-versus-accuracy tradeoff. The quantification of coding performance is via the LQ control cost over a long but finite horizon up to a specified average escape time. Infinite-horizon stabilization is replaced by a mean-time-before-failure property, which is a new viewpoint but allows contact with uncoded controllers. The feedback control system comprises the coder–decoder in the path between the output and the state estimator, which is followed by linear state-variable feedback, as is optimal in the memoryless case. The static quantizer is treated as the functional composition of an infinitely long linear staircase function and saturation. This permits the analysis to subdivide into estimator computations, seemingly independent of the control performance criterion, and an escape time evaluation, which ties the control back into the choice of quantizer saturation bound. An example is studied, which illustrates the role of the control objective in determining the efficacy of coding using these schemes. The results mesh well with those observed in signal coding. However, the introduction of a realization-based escape time is a novelty departing significantly from mean square computations and from adaptive techniques.