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Data-Driven Internal Model Learning Control for Nonlinear Systems.

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    A new data-driven internal model learning control (DIMLC) strategy handles nonlinear systems with unknown uncertainties. This robust approach uses input-output data for adaptive control, enhancing system performance without an explicit model.

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    Area of Science:

    • Control Engineering
    • System Identification
    • Machine Learning

    Background:

    • Nonlinear nonaffine systems present significant control challenges due to unknown uncertainties.
    • Traditional model-based control requires accurate system models, which are often unavailable or difficult to obtain.

    Purpose of the Study:

    • To develop a novel data-driven internal model learning control (DIMLC) strategy for nonlinear nonaffine systems.
    • To address unknown nonrepetitive uncertainties and enhance robustness against model-plant mismatch and disturbances.

    Main Methods:

    • Iterative dynamic linearization (IDL) to reformulate the nonlinear plant into an iterative linear data model (iLDM).
    • Adaptive parameter estimation of the internal model using only input-output (I/O) data.
    • Internal model inversion for controller design, comprising a nominal and a compensatory controller.

    Main Results:

    • The proposed DIMLC strategy effectively controls nonlinear nonaffine systems using only I/O data.
    • The controller achieves perfect tracking via nominal control and offsets uncertainties with compensatory control.
    • Demonstrated robustness against uncertainties, model-plant mismatch, and disturbances through simulations.

    Conclusions:

    • The data-driven DIMLC strategy offers a model-free approach for complex control problems.
    • This method enhances system robustness and tracking performance in the presence of uncertainties.
    • The validated strategy shows significant potential for practical applications in nonlinear system control.