Modelling and design of composite LQR with close-loop two time scales

Wen Dong Liu*, Shi Peng Fan, Hua Bin Li, Wei Min Bao

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

According to the analysis of the composite LQR design method proposed by Kokotovic, whether the standard two-scale model established during controller design meets the inherent system time scale characteristic is judged based on the difference between the performance index of composite and optimal control. The defect of system decomposition according to open-loop characteristic is presented and the influence of the system parameter change to closed-loop time scale characteristic is also analyzed. A method to convert the general linear dynamic equations to a standard two-scale model is proposed based on the closed-loop time scale characteristic analysis. The influence of the small parameter μ on the composite control design is also analyzed. Finally, according to the standard two-scale model, the controller can be sensitive to the change of the time scale characteristics caused by the change of system parameters or feedback control, and can get satisfactory control effect.

Original languageEnglish
Pages (from-to)741-745
Number of pages5
JournalKongzhi yu Juece/Control and Decision
Volume32
Issue number4
DOIs
Publication statusPublished - 1 Apr 2017
Externally publishedYes

Keywords

  • Composite LQR controller
  • System modeling
  • Time scale characteristic
  • Two time scale

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