低比特率周期编码下的LQG控制性能
LQG Control Performance with Low Bitrate Periodic Coding
摘要：
具体的低比特率编码策略的LQ控制性能的影响进行检查。通过限制这些方法的主题，我们能够识别控制编码的基本原则;一个最近很感兴趣的主题，但几乎没有实际的结果。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。该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，其后面是线性状态变量反馈，如在无记忆情况下最佳的那样。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，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颖的显著偏离均方计算。
英文摘要：
Specific low-bitrate coding strategies are examined through their effect on 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 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. 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 quantizer is treated as the functional composition of an infinitely-long linear staircase function and a 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.
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