NDLI: On the optimal design of structured feedback gains for interconnected systems

Content Provider	IEEE Xplore Digital Library
Author	Fardad, M. Fu Lin Jovanovic, M.R.
Copyright Year	2009
Description	Author affiliation: Department of Electrical Engineering and Computer Science, Syracuse University, NY 13244, USA (Fardad, M.) \|\| Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, 55455, USA (Fu Lin; Jovanovic, M.R.)
Abstract	We consider the design of optimal static feedback gains for interconnected systems subject to architectural constraints on the distributed controller. These constraints are in the form of sparsity requirements for the feedback matrix, which means that each controller has access to information from only a limited number of subsystems. We derive necessary conditions for the optimality of structured static feedback gains in the form of coupled matrix equations. In general these equations have multiple solutions, each of which is a stationary point of the objective function. For stable open-loop systems, we show that in the limit of expensive control, the optimal controller can be found analytically using perturbation techniques. We use this feedback gain to initialize homotopy-based gradient and Newton iterations that find an optimal solution to the original (non-expensive) control problem. For unstable open-loop systems, the centralized truncated gain is used as an initial estimate for the iterative schemes aimed at finding the optimal structured feedback gain. We consider both spatially invariant and spatially varying problems and illustrate our developments with several examples.
Starting Page	978
Ending Page	983
File Size	442932
Page Count	6
File Format	PDF
ISBN	9781424438716
ISSN	01912216
DOI	10.1109/CDC.2009.5400341
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	Feedback Interconnected systems Communication system control Optimal control Control systems Distributed control Open loop systems Equations Large-scale systems Centralized control structured feedback gains Architectural constraints interconnected systems optimal decentralized control
Content Type	Text
Resource Type	Article

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