非线性估计算法性能的综合评估措施

Weishi Peng, Yangwang Fang, Yongzhong Ma
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引用次数: 0

摘要

虽然很多学者都说他们的算法在状态估计问题上优于其他算法,但只有少数有说服力的算法被应用于工程实践。究其原因,他们的算法只是在估计精度或计算负荷等某些方面优于其他算法。为了解决状态估计算法的性能评价问题,本文提出了评价非线性估计算法(NEA)的综合评价指标(CEM),它能全面反映 NEA 的性能。首先,我们介绍了三种类型的非线性估计算法。其次,结合非线性估计算法的平坦度、估计精度和计算时间,设计了用于评价上述非线性估计算法的 CEM。最后,通过一个数值示例验证了 CEM 的优越性,从而从理论和技术上帮助非线性估计算法的决策者。
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Comprehensive evaluation measures of nonlinear estimation algorithm performance
Although many scholars say that their algorithms are better than others in the state estimation problem, only a fewer convincing algorithms were applied to engineering practices. The reason is that their algorithms outperform others only in some aspects such as the estimation accuracy or the computation load. To solve the problem of performance evaluation of state estimation algorithms, in this paper, the comprehensive evaluation measures (CEM) for evaluating the nonlinear estimation algorithm (NEA) is proposed, which can comprehensively reflect the performance of the NEAs. First, we introduce three types of the NEAs. Second, the CEM combining the flatness, estimation accuracy and computation time of the NEAs, is designed to evaluate the above NEAs. Finally, the superiority of the CEM is verified by a numerical example, which helps decision makers of nonlinear estimation algorithms theoretically and technically.
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