NDLI: Time-Delay Dependent H ∞ Model Reduction for Uncertain Stochastic Systems: Continuous-Time Case

Content Provider	SpringerLink
Author	Zhou, Wuneng Tong, Dongbing Lu, Hongqian Zhong, Qingchang Fang, Jian’an
Copyright Year	2010
Abstract	The problem of robust H ∞ model reduction for uncertain stochastic systems with time delay is investigated in this paper. The attention of this paper is focused on the construction of a reduced-order model for a given stable system. Several sufficient conditions are obtained for ensuring the existence of the reduced-order model by means of linear matrix inequalities and a coupling non-convex rank constraint condition. Under the sufficient conditions, the desired reduced-order model can be constructed, and the error system between the original model and the reduced-order model is asymptotically stable and has a prescribed H ∞ performance. Based on the proposed method, the construction approaches of reduced-order models with special structures, such as the zeroth-order model, the delay-free model, and the no-parameter-uncertainties model, are also developed. Finally, the effectiveness of the proposed model reduction method is illustrated by a numerical simulation example.
Starting Page	941
Ending Page	961
Page Count	21
File Format	PDF
ISSN	0278081X
Journal	Circuits, Systems, and Signal Processing
Volume Number	30
Issue Number	5
e-ISSN	15315878
Language	English
Publisher	SP Birkhäuser Verlag Boston
Publisher Date	2010-12-23
Publisher Place	Boston
Access Restriction	Subscribed
Subject Keyword	Model reduction Stochastic system H∞ performance Time delay Uncertainty Electrical Engineering Electronics and Microelectronics, Instrumentation Signal, Image and Speech Processing Circuits and Systems
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Signal Processing

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