NDLI: Global optimal realizations of finite precision digital controllers

Content Provider	IEEE Xplore Digital Library
Author	Jun Wu Sheng Chen Gang Li Jian Chu
Copyright Year	2002
Description	Author affiliation: Nat. Key Lab. of Ind. Control Technol., Zhejiang Univ., Hangzhou, China (Jun Wu)
Abstract	The paper analyzes global solutions to the optimal digital controller realization problem based on maximizing a finite word length (FWL) closed-loop stability measure. For each closed-loop eigenvalue, a single-pole FWL stability function is first introduced, and a single-pole FWL stability measure is then defined as the maximum of the corresponding single-pole stability function over all the controller realizations. It is shown that the minimum of the single-pole stability measures for all the closed-loop eigenvalues is an upper bound of the optimal value for the optimal realization problem. An analytical method to compute a single-pole stability measure is developed, and an expression for all the realizations which achieve a given single-pole measure is derived. When a realization, which is a solution of the minimum single-pole measure, further satisfies the condition that the values of all its single-pole stability functions are not less than the minimum single-pole measure, the minimum single-pole measure is the optimal value of the optimal realization problem and this realization is the solution for the optimal realization problem. A computationally simple algorithm is presented.
Sponsorship	IEEE Control Syst. Soc
Starting Page	2941
Ending Page	2946
File Size	337852
Page Count	6
File Format	PDF
ISBN	0780375165
ISSN	01912216
DOI	10.1109/CDC.2002.1184301
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2002-12-10
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Optimal control Digital control Control systems Stability analysis Eigenvalues and eigenfunctions Uncertainty Laboratories Industrial control Industrial electronics Computer science
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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