JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2015, Vol. 45 ›› Issue (6): 29-35.doi: 10.6040/j.issn.1672-3961.0.2015.201

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State feedback controller design for fractional order system in the triangular form

ZHAO Yige, WANG Yuzhen   

  1. School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, China
  • Received:2015-06-26 Revised:2015-11-02 Online:2015-12-20 Published:2015-06-26

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Abstract: Some new properties for Caputo fractional derivative were presented, and a sufficient condition of asymptotical stability for fractional order nonlinear systems was obtained based on the new properties. By using the Backstepping technique, the state feedback control design problem for fractional order nonlinear systems in the triangular form was investigated. Two illustrative examples were provided to illustrate the effectiveness of the main results.

Key words: fractional order system, state feedback, triangular system, Backstepping technique, Caputo fractional derivative

CLC Number: 

  • TP273
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