NDLI: On normal realizations of discrete-time systems with consideration of finite precision implementation

Content Provider	IEEE Xplore Digital Library
Author	Guangxin Zhu Kuang Wang Xiongxiong He
Copyright Year	2009
Description	Author affiliation: Dept. of Information Science and Electronic Engineering, Zhejiang University, Hangzhou 310027, China (Kuang Wang) \|\| College of Information Engineering, Zhejiang University of Technology, Hangzhou 310014, China (Xiongxiong He) \|\| Dept. of Information Science and Electronic Engineering, Zhejiang University and the College of Information Engineering, Zhejiang University of Technology, Hangzhou 310027/310014, China (Guangxin Zhu)
Abstract	In this paper, a novel class of normal realizations for discrete-time systems is derived and characterized. It is shown that these realizations are free of self-sustained oscillations and yield a minimal error propagation gain. The optimal realization problem, defined as to find those normal realizations that minimize roundoff noise gain, is solved analytically. Based on Schur-form, a procedure is achieved to obtain the sparse optimal normal realizations. A design example is presented to demonstrate the superior performance of the proposed sparse realizations to several well-known realizations in terms of minimizing the finite precision effects and reducing system implementation complexity.
Starting Page	1758
Ending Page	1763
File Size	655350
Page Count	6
File Format	PDF
ISBN	9781424438716
ISSN	01912216
DOI	10.1109/CDC.2009.5400087
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-12-15
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Limit-cycles Helium Digital filters Equations Roundoff errors Information science Educational institutions Digital control Communication system control Control systems
Content Type	Text
Resource Type	Article

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