Design of a low-order sensorless controller by robust H∞ control for boost converters

Xutao Li*, Minjie Chen, Hirofumi Shinohara, Tsutomu Yoshihara

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


Luenberger observer (LO)-based sensorless multi-loop control of a converter requires an iterative trial-and-error design process, considering that many parameters should be determined, and loop gains are indirectly related to the closed-loop characteristics. Robust H∞ control adopts a compact sensorless controller. The algebraic Riccati equation (ARE)-based and linear matrix inequality (LMI)-based H∞ approaches need an exhaustive procedure, particularly for a low-order controller. Therefore, in this study, a novel robust H∞ synthesis approach is proposed to design a low-order sensorless controller for boost converters, which need not solve any ARE or LMI, and to parameterize the controller by an adjustable parameter behaving like a “knob” on the closed-loop characteristics. Simulation results show the straightforward closed-loop characteristics evaluation and better dynamic performance by the proposed H∞ approach, compared with the LO-based sensorless multi-loop control. Practical experiments on a digital processor confirmed the simulation results.

Original languageEnglish
Pages (from-to)1025-1035
Number of pages11
JournalJournal of Power Electronics
Issue number3
Publication statusPublished - 2016 May


  • Boost converter
  • Closed-loop characteristics
  • Low order
  • Robust H∞ control
  • Sensorless

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


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