期刊
CIRCUITS SYSTEMS AND SIGNAL PROCESSING
卷 30, 期 1, 页码 73-87出版社
SPRINGER BIRKHAUSER
DOI: 10.1007/s00034-010-9210-8
关键词
Time delay; Exponential stability; Discrete-time systems; Switched nonlinear systems; Nonfragile observer
资金
- National Natural Science Foundation of China [60974027]
This paper investigates the problem of the nonfragile observer design for discrete-time switched nonlinear systems with time delay. Based on the average dwell-time approach and linear matrix inequality (LMI) techniques, an exponential stability criterion for the discrete-time switched delay system with Lipschitz nonlinearity is derived. Based on several technical lemmas, the discrete-time observer design can be transferred to the problem of solving a set of LMIs. Furthermore, in cases when the gain of the state observer varies, a kind of nonfragile observer is proposed, and the solution to the observer gain is also obtained by solving a set of LMIs. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
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