SDRE-based near optimal control system design for PM synchronous motor

Ton Duc Do, Han Ho Choi, Jin Woo Jung

Research output: Contribution to journalArticlepeer-review

55 Citations (Scopus)


This paper presents a nonlinear optimal speed controller based on a state-dependent Riccati equation (SDRE) for permanent magnet synchronous motor (PMSM). An SDRE-based near optimal load torque observer is also proposed to provide the load torque information for the controller. In both designs, the stability is analytically proven, and the Taylor series method is used to find an approximate solution because the SDRE cannot be directly solved. The SDRE-based optimal controller and the observer can ensure better control performance such as no overshoot and fast transient response in speed tracking than the linear conventional controllers such as linear quadratic regulator and proportional-integral controller even under the variations of the model parameters and load torque. The proposed SDRE-based control strategy is implemented on a PMSM testbed using TMS320F28335 DSP. The simulation and experimental results are given to prove the feasibility of the proposed control scheme.

Original languageEnglish
Article number6068246
Pages (from-to)4063-4074
Number of pages12
JournalIEEE Transactions on Industrial Electronics
Issue number11
Publication statusPublished - Nov 2012
Externally publishedYes


  • Nonlinear control
  • Taylor series method
  • observer
  • optimal control
  • permanent magnet synchronous motor (PMSM)
  • speed control
  • state-dependent Riccati equation (SDRE)

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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