An Ac-criteria-based optimal input design method

Ding Di; Cui Han; Wang Qing; He Kaifeng

doi:10.7638/kqdlxxb-2024.0138

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An Ac-criteria-based optimal input design method

更新时间：2026-05-28

- An Ac-criteria-based optimal input design method
- Vol. 44, Issue 4, Pages: 77-87(2026)
- 作者机构：
  
  1. 中国空气动力研究与发展中心，计算空气动力研究所,绵阳,621000
  2. 中国空气动力研究与发展中心，空天技术研究所,绵阳,621000
- 作者简介：
- 基金信息：
- DOI：10.7638/kqdlxxb-2024.0138
  CLC： V212
- Published：2026
- 稿件说明：
移动端阅览
丁娣, 崔瀚, 汪清, 等. 基于Ac-准则的最优输入设计方法[J]. 空气动力学学报, 2026, 44(4): 77−87.

Ding Di, Cui Han, Wang Qing, et al. An Ac-criteria-based optimal input design method[J]. 2026, 44(4): 77-87.
丁娣, 崔瀚, 汪清, 等. 基于Ac-准则的最优输入设计方法[J]. 空气动力学学报, 2026, 44(4): 77−87. DOI： 10.7638/kqdlxxb-2024.0138

Ding Di, Cui Han, Wang Qing, et al. An Ac-criteria-based optimal input design method[J]. 2026, 44(4): 77-87. DOI： 10.7638/kqdlxxb-2024.0138.

摘要

针对飞机闭环回路激励信号输入设计需求，本文基于标模飞机AVM（aerodynamic validation model）平飞算例开展了典型最优准则函数与参数辨识精准度的关联性分析，设计了Ac-优化准则，结合粒子群算法形成了最优输入设计方法，并将该方法应用于“3211”、偶极方波和多正弦3种不同输入信号的参数优化设计。最后利用AVM飞机闭环仿真算例，对比了基于Ac-准则的最优设计方法和频带输入设计方法在3种输入激励下的飞机纵向气动导数辨识结果均方根误差，发现对于5个纵向气动导数的总体辨识精准度，基于Ac-准则设计的3种输入信号相对频带设计信号分别有27.6%、91.54%和64.4%的提升，且优化设计的输入激励信号有效改善了升力操纵导数的辨识精准度，说明对于闭环系统最优输入激励信号优化问题，该方法相对频带输入设计更为有效。

Abstract

Optimal input design enhances aerodynamic parameter identification accuracy for aircraft closed-loop systems. This paper adressed the optimal criterion-based input design problem for standard aircraft aerodynamic parameter identification. The design of global optimization of Fisher information inverse matrix's metric can help obtain the optimal input signal. Simple analysis or experience in many research works choose the matrix's metric. We used an aerodynamic validation standard model aircraft (AVM) cruise flight scenario to analyze the correlation between typical optimal criteria and parameter identification accuracy. The results show that the inverse matrix's trace and condition number correlate relatively more strongly with identification accuracy than other metrics. Thus

we proposed an Ac-criterion and use the particle swarm global algorithm to find the optimal parameter of an input signal to minimize the Ac-criterion in a given parameter range. Three excitation signals

namely

"3211"

dipole square wave

and multi-sine quadrature signal

were designed by the Ac-optimal method and the traditional frequency band analysis. The frequency band method uses the natural frequency of the aircraft directly to design the input signal's period and the empirical amplitude. Then

we utilized the designed signals to excite the AVM closed-loop's dynamic characteristics and generated flight simulation data to identify the aircraft's longitudinal aerodynamic stability and control derivatives. The Ac-optimal design method's effectiveness was evaluated by the estimated results' root-mean-square errors relative to the reference derivatives. The results show that the Ac-criterion-based optimization method is more efficient than the frequency band design method in finding the optimal signal to excite the closed-loop's dynamic characteristics. Compared with the band-designed results

the Ac-optimal-designed signals improve the total accuracy of the five longitudinal control derivatives by 27.6%

91.54%

and 64.4%

respectively. This enhancement is mainly due to the Ac-optimal-designed signals significantly improves the identification accuracy of the lift control derivative. This paper verified that criterion correlation analysis can help improve the input signal's excitation effect on the dynamic systems

and the proposed Ac-criterion-based design method is effective in obtaining the optimal input excitation signals. This method has some application values for identifying aerodynamic parameters for aircraft closed-loop systems.

关键词

Keywords

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