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Identification-based Adaptive Tracking Control of Uncertain Bistable Electromechanical Duffing Oscillator

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  • Control Theory and Applications
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Abstract

This paper presents a backstepping-based adaptive control design for bistable Duffing-Holmes oscillators. The system parameters are assumed to be uncertain, and the controller uses an adaptation rule to estimate them and to achieve an asymptotic tracking performance. The convergence of the tracking and parameter estimation errors is studied using the Contraction theory. The practical utility of the proposed control scheme is illustrated by applying it to a vibration energy harvester, modeled as a bistable Duffing oscillator, to increase its power level under various external excitations. Moreover, a procedure to increase the harvested energy by reducing the control effort is proposed. Simulation studies are carried out to show the validity and feasibility of the proposed controller.

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Authors and Affiliations

  1. Facultad de Ingeniería, Universidad Autónoma de Querétaro, Querétaro, 76010, Mexico

    Suresh Thenozhi

  2. Facultad de Ingeniería Mecánica y Eléctrica, Universidad de Colima, Coquimatlán, Colima, 28400, Mexico

    Antonio Concha

Authors
  1. Suresh Thenozhi
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  2. Antonio Concha
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Correspondence to Antonio Concha.

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Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

The authors acknowledge the reviewers for their helpful comments that improve the quality of this manuscript.

Suresh Thenozhi received his Ph.D. degree in automatic control from CINVES-TAV, Mexico City, in 2014. Since 2017, he has been a Professor with the Faculty of Engineering, Autonomous University of Queretaro. His research focuses on control theory.

Antonio Concha received his Ph.D. degree in automatic control from CINVES-TAV, Mexico, in 2013. Since 2016, he has been a Professor with the Faculty of Mechanical and Electrical Engineering, University of Colima. He focuses on system estimation and control.

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Thenozhi, S., Concha, A. Identification-based Adaptive Tracking Control of Uncertain Bistable Electromechanical Duffing Oscillator. Int. J. Control Autom. Syst. 20, 2191–2201 (2022). https://doi.org/10.1007/s12555-021-0386-4

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  • DOI: https://doi.org/10.1007/s12555-021-0386-4

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