NDLI: Development of a general robust H $_{∞}$ singular filter design method for uncertain discrete descriptor systems with time delay

Content Provider	Springer Nature Link
Author	Kim, Jong Hae
Copyright Year	2012
Abstract	This paper solves the problem of a delay-dependent general robust H $_{∞}$ singular filter design method for uncertain discrete descriptor systems with interval time-varying delay by linear matrix inequality (LMI) technique. Being different from previous approaches, the discrete singular filtering problem with a new Lyapunov function is considered without any changes of variables, Schur complements, and transformations of conditions for robust H $_{∞}$ filtering. The purpose is to design a delaydependent general H $_{∞}$ filter such that the delayed filtering error descriptor system is regular, causal, and stable with H $_{∞}$ norm bound. Moreover, it is shown that the presented design method by the selection of rank in the singular filter provides reduced-order filters including static filter indirectly. Also, the filter design method can be easily extended to uncertain descriptor systems. Finally, numerical examples are presented to illustrate the feasibility and applicability of the proposed method.
Starting Page	20
Ending Page	26
Page Count	7
File Format	PDF
ISSN	15986446
Journal	International Journal of Control, Automation and Systems
Volume Number	10
Issue Number	1
e-ISSN	20054092
Language	English
Publisher	Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers
Publisher Date	2012-02-04
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Delay-dependence discrete-time descriptor systems H $_{∞}$ singular filter LMI uncertainty Control, Robotics, Mechatronics
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Computer Science Applications

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