Differential algebraic observer-based nonlinear control of PM synchronous motor

Jiang Wang, Tao Li, K. M. Tsang, Chow Norbert Cheung

Research output: Journal article publicationJournal articleAcademic researchpeer-review

46 Citations (Scopus)


The PM synchronous motor (PMSM) is a widely used typical nonlinear multi-variable coupled system. Differential algebraic strategy can be applied to address the dynamic feedback control problems effectively in the nonlinear systems, with Flatness an important concept in the differential algebra. First of all, the (d, q) mathematical model of the PMSM is presented. Then the new input-output model of PMSM is obtained by coordinate transformation. According to the derived model we can design the stable observer using any control scheme for linear systems. In this paper, the linearized system is controlled by the Proportional-Integral approach. The main goal is the position control of PMSM, according to which the high-gain observer is formed to observe the current and velocity. The stability of the controller-observer system, which is composed of controllers and observers, is verified by the Lyapunov theory. The simulation studies are done using MATLAB, and the simulation results demonstrate that the system has the advantages of fastness rapid response, stability, no over-shoot, rejecting load disturbance, no steady error observation and etc.
Original languageChinese (Simplified)
Pages (from-to)87-92
Number of pages6
JournalZhongguo Dianji Gongcheng Xuebao/Proceedings of the Chinese Society of Electrical Engineering
Issue number2
Publication statusPublished - 1 Jan 2005


  • Differential algebraic
  • Electric machine
  • Flatness
  • High-gain observer
  • PMSM (Permanent-magnet synchronous motor)

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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