Algebraic Design of a Discrete-Time Angle Tracking Observer
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Date
2025-11-06
Authors
Zezula, Lukáš
Blaha, Petr
0000-0002-3183-2438Advisor
Referee
Mark
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IEEE
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Abstract
This paper presents a discrete-time design methodology for an angle tracking observer based on algebraic controller tuning techniques. A piecewise model of the estimated angular velocity is first introduced to approximate its dynamic behavior across sampling intervals. The corresponding angular position is then obtained analytically through integration, leading to a discrete-time system that captures the relationship between the velocity and the angle. A one-step delay is incorporated into the feedback path and compensated by a one-step angle prediction to avoid algebraic loops in the closed-control structure. Finally, an algebraic controller is designed to assign the closed-loop poles to the selected positions, ensuring desirable dynamics and filtering of the observer. The designed observer is experimentally validated and benchmarked against the conventional structures.
This paper presents a discrete-time design methodology for an angle tracking observer based on algebraic controller tuning techniques. A piecewise model of the estimated angular velocity is first introduced to approximate its dynamic behavior across sampling intervals. The corresponding angular position is then obtained analytically through integration, leading to a discrete-time system that captures the relationship between the velocity and the angle. A one-step delay is incorporated into the feedback path and compensated by a one-step angle prediction to avoid algebraic loops in the closed-control structure. Finally, an algebraic controller is designed to assign the closed-loop poles to the selected positions, ensuring desirable dynamics and filtering of the observer. The designed observer is experimentally validated and benchmarked against the conventional structures.
This paper presents a discrete-time design methodology for an angle tracking observer based on algebraic controller tuning techniques. A piecewise model of the estimated angular velocity is first introduced to approximate its dynamic behavior across sampling intervals. The corresponding angular position is then obtained analytically through integration, leading to a discrete-time system that captures the relationship between the velocity and the angle. A one-step delay is incorporated into the feedback path and compensated by a one-step angle prediction to avoid algebraic loops in the closed-control structure. Finally, an algebraic controller is designed to assign the closed-loop poles to the selected positions, ensuring desirable dynamics and filtering of the observer. The designed observer is experimentally validated and benchmarked against the conventional structures.
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Citation
IECON 2025: 51st Annual Conference of the IEEE Industrial Electronics Society. 2025, 6 p.
https://ieeexplore.ieee.org/document/11221452
https://ieeexplore.ieee.org/document/11221452
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Peer-reviewed
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Accepted version
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en
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(C) IEEE