NDLI: On the use of multi-loop circle criterion for saturating control synthesis

Content Provider	IEEE Xplore Digital Library
Author	Kiyama, T. Iwasaki, T.
Copyright Year	2000
Description	Author affiliation: Dept. of Control Syst. Eng., Tokyo Inst. of Technol., Japan (Kiyama, T.)
Abstract	This paper deals with regional stabilization of linear time-invariant systems by dynamic output feedback controllers subject to known bounds on the magnitudes of the control inputs. Specifically, we consider the achievable region of attraction, i.e., the set of vectors with the following property: there exists a (nonlinear) controller such that any closed-loop state trajectory converges to the origin as long as the initial state belongs to the set. Two subsets of such set are characterized: one is derived from the linear analysis that considers the behavior of the states in the linear (nonsaturated) region only; while the other is based on the nonlinear analysis using the multi-loop circle criterion. The main result obtained shows that the two sets are exactly the same. Thus we conclude that the circle criterion does not help, within our framework, to increase the size of the region of attraction in saturating control synthesis when compared with that resulting from the linear analysis.
Starting Page	1225
Ending Page	1229
File Size	497224
Page Count	5
File Format	PDF
ISBN	0780355199
ISSN	07431619
DOI	10.1109/ACC.2000.876695
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2000-06-28
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Control system synthesis Symmetric matrices Nonlinear control systems Control nonlinearities Control systems Size control Systems engineering and theory Actuators Stability analysis Linear matrix inequalities
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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