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Cross Regulation Reduced Optimal Multivariable Controller Design for Single Inductor DC-DC Converters

Author

Listed:
  • S. Augusti Lindiya

    (Department of Electrical and Electronics Engineering, SASTRA Deemed to be University, Thanjavur 613401, India)

  • N. Subashini

    (Department of Electrical and Electronics Engineering, SASTRA Deemed to be University, Thanjavur 613401, India)

  • K. Vijayarekha

    (Department of Electrical and Electronics Engineering, SASTRA Deemed to be University, Thanjavur 613401, India)

Abstract

Single Inductor (SI) converters with the advantage of using one inductor for any number of inputs/outputs find wide applications in portable electronic gadgets and electrical vehicles. SI converters can be used in Single Input Multiple Output (SIMO) and Multiple Input Multiple Output (MIMO) configurations but they need controllers to achieve good transient and steady state responses, to improve the stability against load and line disturbances and to reduce cross regulation. Cross regulation is the change in an output voltage due to change in the load current at another output and it is an added constraint in SI converters. In this paper, Single Input Dual Output (SIDO) and Dual Input Dual Output (DIDO) converters with applications capable of handling high load current working in Continuous Conduction Mode (CCM) of operation are taken under study. Conventional multivariable PID and optimal Linear Quadratic Regulator (LQR) controllers are developed and their performances are compared for the above configurations to meet the desired objectives. Generalized mathematical models for SIMO and MIMO are developed and a Genetic Algorithm (GA) is used to find the parameters of a multivariable PID controller and the weighting matrices of optimal LQR where the objective function includes cross regulation as a constraint. The simulated responses reveal that LQR controller performs well for both the systems over multivariable PID controller and they are validated by hardware prototype model with the help of DT9834 ® Data Acquisition Module (DAQ). The methodologies used here generate a fresh dimension for the case of such converters in practical applications.

Suggested Citation

  • S. Augusti Lindiya & N. Subashini & K. Vijayarekha, 2019. "Cross Regulation Reduced Optimal Multivariable Controller Design for Single Inductor DC-DC Converters," Energies, MDPI, vol. 12(3), pages 1-26, February.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:3:p:477-:d:202865
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    Cited by:

    1. Gerardo Humberto Valencia-Rivera & Ivan Amaya & Jorge M. Cruz-Duarte & José Carlos Ortíz-Bayliss & Juan Gabriel Avina-Cervantes, 2021. "Hybrid Controller Based on LQR Applied to Interleaved Boost Converter and Microgrids under Power Quality Events," Energies, MDPI, vol. 14(21), pages 1-31, October.
    2. Gerardo Humberto Valencia-Rivera & Luis Ramon Merchan-Villalba & Guillermo Tapia-Tinoco & Jose Merced Lozano-Garcia & Mario Alberto Ibarra-Manzano & Juan Gabriel Avina-Cervantes, 2020. "Hybrid LQR-PI Control for Microgrids under Unbalanced Linear and Nonlinear Loads," Mathematics, MDPI, vol. 8(7), pages 1-25, July.
    3. Vibha Kamaraj & N. Chellammal & Bharatiraja Chokkalingam & Josiah Lange Munda, 2020. "Minimization of Cross-Regulation in PV and Battery Connected Multi-Input Multi-Output DC to DC Converter," Energies, MDPI, vol. 13(24), pages 1-29, December.

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