论文标题

LQG控制性能和低比特率周期性编码

LQG Control Performance with Low Bitrate Periodic Coding

论文作者

Amini, Behrooz, Bitmead, Robert R.

论文摘要

特定的低二核编码策略通过对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,我们能够确定编码控制的原则。一个最近引起了重大兴趣的主题,但很少有切实的结果。特别是,我们考虑编码量化的输出信号部署周期的两个不同延迟 - 准确性权衡的代码。编码性能的量化是通过LQ控制成本。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编码器,然后是线性状态变量反馈,这在无内存情况下是最佳的。量化器被视为无限长的线性楼梯功能和饱和度的功能组成。这允许分析细分为估计器计算,看似与控制性能标准独立,并进行逃生时间评估,该评估将控制恢复到量化饱和度结合的选择中。研究了一个示例,该示例说明了控制目标在确定使用这些方案编码功效方面的作用。结果与信号编码中观察到的结果很好。但是,基于实现的逃生时间的引入是一种与均方根计算显着不同的新颖性。

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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