A linear singularly perturbed system (SPS) based on a linear approximation of incremental nonlinear dynamic inversion (INDI) is formulated for a general INDI-based flight control system. This system includes first-order actuator dynamics where its time constant is taken as the singular perturbation parameter. The stability of the SPS is studied, which gives an understanding of the sensitivity of INDI to delays. Two sources of delay are considered, one coming from the state derivative measurement and the other coming from the delayed input signal. It is shown in this article that the upper bound of the singular perturbation parameter serves as a robustness metric of the SPS to the two types of delays. Consequently, a relative singular perturbation margin ($\text{SPM}_{\text{R}}$) is proposed as a delay margin. The results are confirmed with two aircraft simulation cases for multiple-input multiple-output and single-input single-output systems. In the latter, the relationship between the $\text{SPM}_{\text{R}}$ and the phase margin is analyzed.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Singular Perturbation Margin of INDI-Based Flight Control Systems With Delays


    Contributors:


    Publication date :

    2025-08-01


    Size :

    1981352 byte




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English



    Verbundprojekt: INDI : Schlussbericht INDI

    Moder, Christoph | TIBKAT | 2018



    Robustness Analysis of Two Advanced Flight Control Laws: NDI and INDI

    Luo, Fei / Zhang, Junhong / Jiang, Biao | British Library Conference Proceedings | 2022


    Robustness Analysis of Two Advanced Flight Control Laws: NDI and INDI

    Luo, Fei / Zhang, Junhong / Jiang, Biao | Springer Verlag | 2021


    Robustness Analysis of Two Advanced Flight Control Laws: NDI and INDI

    Luo, Fei / Zhang, Junhong / Jiang, Biao | TIBKAT | 2022