论文标题
简化了连续和离散时间系统中过滤灵敏度权衡的分析
Simplified Analysis on Filtering Sensitivity Trade-offs in Continuous- and Discrete-Time Systems
论文作者
论文摘要
对Bode型滤波敏感性权衡积分进行了简化分析，该积分捕获了估计值的灵敏度特征和相对于过程输入和连续和离散的线性时间传播滤波系统中的过程输入和估计信号的灵敏度特征。与基于复杂分析的先前分析和Cauchy的残基定理相比，从简化方法得出的分析结果更为明确，透彻，并且需要更少的限制性假设。对于连续的时间过滤系统，我们的简化分析表明，除了先前文献中报道的非最低相零集外，过滤灵敏度积分的值和界限还取决于领先的系数，相对程度，最小相位零相零和植物和过滤器。通过调用简化方法，首次对离散时间过滤灵敏度积分进行了全面分析。提供了数值示例，以验证简化分析的有效性和正确性。
A simplified analysis is performed on the Bode-type filtering sensitivity trade-off integrals, which capture the sensitivity characteristics of the estimate and estimation error with respect to the process input and estimated signal in continuous- and discrete-time linear time-invariant filtering systems. Compared with the previous analyses based on complex analysis and Cauchy's residue theorem, the analysis results derived from the simplified method are more explicit, thorough, and require less restrictive assumptions. For continuous-time filtering systems, our simplified analysis reveals that apart from the non-minimum phase zero sets reported in the previous literature, the value and boundedness of filtering sensitivity integrals are also determined by the leading coefficients, relative degrees, minimum phase zeros, and poles of plants and filters. By invoking the simplified method, a comprehensive analysis on the discrete-time filtering sensitivity integrals is conducted for the first time. Numerical examples are provided to verify the validity and correctness of the simplified analysis.
