Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (3): 657-660,718.

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State observer design for a class of nonlinear descriptor systems

KONG Qing-fu, ZHANG Qing-ling, YANG Chun-yu   

  1. Inst. of Systems Science, Northeastern Univ., Shenyang 110004, China
  • Received:2007-12-13 Revised:2008-01-29 Online:2009-03-20 Published:2010-01-03

Abstract: The design problem of observers for nonlinear descriptor systems is considered.Using the differential mean value theorem(DMVT),the nonlinear error dynamic descriptor system is transformed into a linear parameter varying(LPV) descriptor system.If the given linear matrix inequalities(LMIs) are feasible,there exists a full-order observer and the existence of a reduced-order observer can be also guaranteed.The stability of the error system is analyzed by a Lyapunov function,which shows that the errors are exponential convergent.Finally,simulation results show that the obtained method is valid and is better than existing results.

CLC Number: 

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