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Fault estimation for discrete‐time switched nonlinear systems with discrete and distributed delays
Author(s) -
Park Ju H.,
Mathiyalagan K.,
Sakthivel R.
Publication year - 2016
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3532
Subject(s) - estimator , dwell time , control theory (sociology) , discrete time and continuous time , nonlinear system , fault (geology) , computer science , attenuation , mathematics , control (management) , statistics , physics , quantum mechanics , artificial intelligence , medicine , clinical psychology , seismology , optics , geology
Summary This paper is concerned with theH ∞fault estimation for a class of discrete‐time switched nonlinear systems with mixed time delays. The fault existing in the system is assumed to be characterized by an external system, which incorporates the fault's prior knowledge to the considered systems. The fault estimator is designed by using the multiple Lyapunov–Krasovskii functional and average dwell‐time approach. Sufficient conditions in the form of linear matrix inequalities (LMIs) are developed to ensure the resulting error system is exponentially stable with an optimizedH ∞disturbance attenuation level. The gain matrices of the estimator can be easily determined by using the standard optimization toolboxes. Finally, numerical examples and simulation results with the help of real‐time systems are given to illustrate the effectiveness and advantages of the obtained results. Copyright © 2016 John Wiley & Sons, Ltd.