NDLI: The decentralized robust stabilization and regulation problem subject to gain and phase perturbation

Content Provider	IEEE Xplore Digital Library
Author	Chang, T. Davison, E.J.
Copyright Year	2001
Description	Author affiliation: New Jersey Inst. of Technol., Newark, NJ, USA (Chang, T.)
Abstract	In this paper, the problem of synthesizing a decentralized controller for a descriptor plant subject to uncertainty in gain and phase is considered. Decentralized stabilization and regulation of descriptor type systems is generally more difficult than regular state-space processes due to the existence of impulsive modes and decentralized fixed modes. Related to the decentralized stabilization and regulation problems is the issue of robustness. Properties of decentralized descriptor systems subject to structured multivariable gain and phase perturbation are reported in this paper. In particular, results are given to determine if a descriptor system possesses a non-zero impulsive gain margin. Furthermore, it is shown that if a plant is open-loop unstable with at least two control agents, then for almost all plants, any controller which stabilizes the system has no gain margin. Finally, it is shown that if a plant is open-loop stable with no impulsive modes, then there exists a solution to the generalized decentralized robust servomechanism problem with any gain margin, time lag margin specification, iff there exists a solution to the generalized decentralized robust servomechanism problem for the plant.
Sponsorship	American Autom. Control Council
Starting Page	4052
Ending Page	4057
File Size	450610
Page Count	6
File Format	PDF
ISBN	0780364953
ISSN	07431619
DOI	10.1109/ACC.2001.946336
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2001-06-25
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Robustness Closed loop systems Robust control Open loop systems Servomechanisms Control systems Control system synthesis Centralized control Bismuth Polynomials
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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