JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2011, Vol. 41 ›› Issue (3): 52-58.

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Fault estimator design for switched systems-application
to the three-tank system

YUAN Shuai1, LIU Xinzhi1, 2*   

  1. 1. School of Control Science and Engineering, Shandong University, Jinan 250061, China;
    2.  Department of Applied Mathematics, University of Waterloo, Waterloo, N2L 3G1, Canada
  • Received:2010-01-20 Online:2011-06-16 Published:2010-01-20

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Abstract:

The fault estimation problem of a practical switched system composed of the threetank system was addressed. By using the mechanism modeling approach, a general mathematic model was established. All the possible faults were considered in the modeling process. Then based on the average dwell time approach and the H∞  filtering technique, sufficient existence conditions of the fault estimator were derived. Moreover, the parameter matrices and suitable switching rule were obtained by solving a set of linear matrix inequalities (LMIs). An example was given to show the effectiveness of the obtained results.

Key words: switched system, fault estimation, three-tank system, average dwell time

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