论文标题
跟踪误差的时域灵敏度
Time Domain Sensitivity of the Tracking Error
论文作者
论文摘要
通过简单但代表性的经典和量子系统，对误差信号对数字信号的对数信号的数量敏感性的严格时间域公式进行了分析。结果表明，在广泛的物理系统中，徒劳或在特定时间的性能最大化（误差信号的最小化）以增加对数敏感性的成本，这意味着类似于频率域的身份$ \ mathbf $ \ mathbf {s（s） + t（s） + t（s） + t（s）= i} $。尽管基于渐近稳定或跟踪的经典问题价值有限，但这种时间域公式对于评估降低的鲁棒性成本与基于时间的绩效指标相关的高保真量子控制方案的降低相关。
A strictly time-domain formulation of the log-sensitivity of the error signal to structured plant uncertainty is presented and analyzed through simple but representative classical and quantum systems. Results demonstrate that across a wide range of physical systems, maximization of performance (minimization of the error signal) asymptotically or at a specific time comes at the cost of increased log-sensitivity, implying a time-domain constraint analogous to the frequency-domain identity $\mathbf{S(s) + T(s) = I}$. While of limited value in classical problems based on asymptotic stabilization or tracking, such a time-domain formulation is valuable in assessing the reduced robustness cost concomitant with high-fidelity quantum control schemes predicated on time-based performance measures.
