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Design of a Novel Boomerang Trajectory for Sliding Mode Controller

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Abstract

Sliding Mode Controllers (SMC) is widely known for its robustness and controllability for a non-linear system during transient conditions. The main advantage of SMC is that of sliding a control variable along the trajectory and converges to zero or nearest to zero and make the system to attain a stable condition. Various methodologies and approaches like discontinuous controllers, second-order sliding modes, twisting algorithms, etc. are available for the SMC implementation. However, every algorithm is facing the problem of convergence and error tracking in a finite amount of time. The primary purpose of this paper is to formulate and design an SMC with a new trajectory which overcomes the drawback of the existing methodologies. This paper proposes a novel boomerang trajectory, which omits the reaching phase and follows a semi-elliptical and semi-circular path for a quick convergence. SMC with boomerang trajectory is analyzed for its stability at transient conditions, and the results show significant improvement in terms of convergence time when compared to the existing trajectories and also it is asymptotically stable. The entire system is simulated in Matlab / Simulink and the same prototypical setup has been designed, and implemented for evaluation purpose using dSPACE-MicroLabBox-ACE-DS1202 platform.

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Authors and Affiliations

  1. School of Electrical Sciences, Kongu Engineering College, Perundurai, Erode(Dt) of Tamilnadu, Tamilnadu, India

    MS Kamalesh & Nattuthurai Senthilnathan

  2. Department of Electrical and Electronics Engineering, SRM Institute of Science & Technology, Chennai, India

    Chokkalingam Bharatiraja

Authors
  1. MS Kamalesh
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  2. Nattuthurai Senthilnathan
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  3. Chokkalingam Bharatiraja
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Correspondence to MS Kamalesh.

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

Recommended by Associate Editor Nam H. Jo under the direction of Editor Won-jong Kim. This work is carried out in G.D. Naidu Research Laboratory/Center for Renewable Energy, which is ostensibly established by the Government of India with a fund of Rs.1 crore/10 million USD (Ref. No SR/FST/COLLEGE- 096/2017) at Kongu Engineering College, Tamilnadu, India.

Kamalesh MS is currently working as an Assistant Professor in Department of EEE at Kongu Engineering College, Tamilnadu–India. His research interest includes power electronic converter design, SMC based DC-DC converter design.

Senthilnathan Nattuthurai is currently working as Professor in Department of EEE at Kongu Engineering College, Tamilnadu–India. His research interest includes filter design and high frequency analysis, digital control of power converters.

Bharatiraja Chokkalingam is currently working as an Associate Professor in Department of EEE, SRM Institute of Science and Technology, India. His research interest includes power electronics converter topologies and control for PV-EV applications.

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Kamalesh, M., Senthilnathan, N. & Bharatiraja, C. Design of a Novel Boomerang Trajectory for Sliding Mode Controller. Int. J. Control Autom. Syst. 18, 2917–2928 (2020). https://doi.org/10.1007/s12555-019-0722-0

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  • DOI: https://doi.org/10.1007/s12555-019-0722-0

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