Journal of Northeastern University Natural Science ›› 2019, Vol. 40 ›› Issue (5): 619-624.DOI: 10.12068/j.issn.1005-3026.2019.05.003

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Observer Design for Uncertain Fractional-Order Linear Systems with Sensor Fault

ZHANG Xue-feng, LIU Bo-hao   

  1. School of Sciences, Northeastern University, Shenyang 110819, China.
  • Received:2017-12-29 Revised:2017-12-29 Online:2019-05-15 Published:2019-05-17
  • Contact: ZHANG Xue-feng
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Abstract: The observer for the uncertain fractional-order system with sensor fault and system measurement noise is developed. By using the method of augmented matrix and the invariant property of matrix rank, the uncertain fractional-order system is augmented into the singular fractional-order uncertain system. Based on the linear matrix inequality approach of stability criterion for fractional-order systems, an asymptotic stability criterion of the error dynamic system with fractional-order satisfying 1

Key words: uncertain fractional-order systems, asymptotic stability, linear matrix inequalities(LMIs), observer design, sensor fault, measurement noise

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