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General plane motion, often observed in a rolling wheel, refers to a type of movement where the wheel is simultaneously rotating and translating. This complex motion can be understood by breaking it down into individual components.
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    This study presents a new method for practical uncertainty estimation, reducing peaking and improving dynamic behavior. The adaptive fusion of multiple extended state observers (ESOs) enhances robustness against noise and ensures accurate, fast estimation.

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    Area of Science:

    • Control Systems Engineering
    • Robotics
    • Signal Processing

    Background:

    • Real-world uncertainty estimation faces challenges from peaking phenomena and measurement noise.
    • Existing methods struggle to effectively mitigate these complexities, impacting dynamic system performance.
    • Accurate uncertainty estimation is crucial for robust control and reliable operation of dynamic systems.

    Purpose of the Study:

    • To introduce a novel scheme for practical uncertainty estimation that addresses peaking dynamics and measurement noise.
    • To enhance the overall dynamic behavior and robustness of uncertainty estimation frameworks.
    • To validate the proposed method through theoretical analysis, simulations, and experimental testing.

    Main Methods:

    • Development of a fusion estimation framework utilizing multiple extended state observers (ESOs) for lumped uncertainties.
    • Implementation of a low-frequency adaptive parameter learning technique for optimal fusion approximation.
    • Integration of cascading filters within the adaptive fusion framework to improve noise rejection.

    Main Results:

    • The adaptive fusion estimation effectively attenuates transient peaks in uncertainty estimation.
    • The proposed method achieves fast convergence and high accuracy, particularly under high-gain scheduling of ESOs.
    • Enhanced robustness against measurement noises is demonstrated through theoretical analysis and experimental validation.

    Conclusions:

    • The novel adaptive fusion estimation scheme provides a practical solution for uncertainty estimation challenges.
    • The method significantly improves dynamic behavior, peak rejection, and noise robustness in complex systems.
    • Validated on a mobile robot's wheel velocity system, demonstrating its feasibility and effectiveness.