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Unified CACSD Toolbox for Hybrid Simulation and Robust Controller Synthesis with Applications in DC-to-DC Power Converter Control

Author

Listed:
  • Mircea Şuşcă

    (Department of Automation, Technical University of Cluj-Napoca, Str. G. Bariţiu nr. 26-28, 400027 Cluj-Napoca, Romania)

  • Vlad Mihaly

    (Department of Automation, Technical University of Cluj-Napoca, Str. G. Bariţiu nr. 26-28, 400027 Cluj-Napoca, Romania)

  • Mihai Stănese

    (Department of Automation, Technical University of Cluj-Napoca, Str. G. Bariţiu nr. 26-28, 400027 Cluj-Napoca, Romania
    These authors contributed equally to this work.)

  • Dora Morar

    (Department of Automation, Technical University of Cluj-Napoca, Str. G. Bariţiu nr. 26-28, 400027 Cluj-Napoca, Romania
    These authors contributed equally to this work.)

  • Petru Dobra

    (Department of Automation, Technical University of Cluj-Napoca, Str. G. Bariţiu nr. 26-28, 400027 Cluj-Napoca, Romania
    These authors contributed equally to this work.)

Abstract

The current article presents the design, implementation, validation, and use of a Computer-Aided Control System Design (CACSD) toolbox for nonlinear and hybrid system uncertainty modeling, simulation, and control using μ synthesis. Remarkable features include generalization of classical system interconnection operations to nonlinear and hybrid systems, automatic computation of equilibrium points for nonlinear systems, and optimization of least conservative uncertainty bounds, with direct applicability for μ synthesis. A unified approach is presented for the step-down (buck), step-up (boost), and single-ended primary-inductor (SEPIC) converters to showcase the use and flexibility of the toolbox. Robust controllers were computed by minimization of the H ∞ norm of the augmented performance systems, encompassing a wide range of uncertainty types, and have been designed using the well-known mixed-sensitivity closed loop shaping μ synthesis method.

Suggested Citation

  • Mircea Şuşcă & Vlad Mihaly & Mihai Stănese & Dora Morar & Petru Dobra, 2021. "Unified CACSD Toolbox for Hybrid Simulation and Robust Controller Synthesis with Applications in DC-to-DC Power Converter Control," Mathematics, MDPI, vol. 9(7), pages 1-31, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:7:p:731-:d:525661
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    Cited by:

    1. Vlad Mihaly & Mircea Şuşcă & Dora Morar & Petru Dobra, 2022. "Sensitivity Analysis of Krasovskii Passivity-Based Controllers," Mathematics, MDPI, vol. 10(20), pages 1-19, October.
    2. Paolo Mercorelli, 2022. "Robust Control as a Mathematical Paradigm for Innovative Engineering Applications," Mathematics, MDPI, vol. 10(23), pages 1-4, November.

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