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CEAS EuroGNC 2026

Incremental Differential Proportional-Integral (iDPI) Control for Lateral Motion: A Model-Following Approach

Marwan Shalaby Graduate Researcher, Institute of Flight System Dynamics, Technical University of Munich, Munich, Germany. Flight Dynamics and Control Engineer, Textron Aviation, Munich, Germany.
Agnes Steinert Postdoctoral Researcher, Institute of Flight System Dynamics, Technical University of Munich, Munich, Germany.
David Basta Graduate Researcher, Institute of Flight System Dynamics, Technical University of Munich, Munich, Germany.
Florian Holzapfel Professor and Head of the Institute of Flight System Dynamics, Technical University of Munich, Munich, Germany.
Abstract:
Incremental Nonlinear Dynamic Inversion (INDI) has gained popularity in various aerospace control applications, as it reduces reliance on accurate models and improves disturbance rejection. Recently, the incremental control approach has been combined with classical proportional-integral (PI) control to increase robustness, avoid hidden coupling terms, and enable fast gain scheduling, in a manner similar to the differential PI (DPI) controller. This paper extends the incremental DPI (iDPI) concept to a model-following structure for MIMO systems in the context of fixed-wing flight control. It compares a coupled and a simplified decoupled physical reference model as well as different error controller structures. The approach is evaluated using a high-fidelity six-degree-of-freedom (6-DoF) simulation model of a commercial aircraft, including several practical adaptations to support real-world implementation. The results highlight the suitability of the proposed iDPI framework in achieving robust, implementable flight controllers.
Keywords: Incremental Nonlinear Dynamic Inversion (INDI); Incremental Differential PI (iDPI); Incremental control; Model-following control; Flight control; MIMO systems; Robust control; Gain scheduling; Fixed-wing aircraft; Nonlinear control
View PDFCEAS-GNC-2026-089 doi: 10.82124/CEAS-GNC-2026-089


Marwan Shalaby, Agnes Steinert, David Basta, Florian Holzapfel: Incremental Differential Proportional-Integral (iDPI) Control for Lateral Motion: A Model-Following Approach. Proceedings of the 2026 CEAS EuroGNC conference. Madrid, Spain. May 2026. doi: 10.82124/CEAS-GNC-2026-089.
BibTeX entry (UTF-8):

@Incollection{CEAS-GNC-2026-089,
    author = {Shalaby, Marwan and Steinert, Agnes and Basta, David and Holzapfel, Florian},
    title = {Incremental Differential Proportional-Integral (iDPI) Control for Lateral Motion: A Model-Following Approach},
    booktitle = {Proceedings of the 2026 {CEAS EuroGNC} conference},
    address = {Madrid, Spain},
    month = may,
    year = {2026},
    doi = {10.82124/CEAS-GNC-2026-089}
}