NDLI: Computational Methods for Distributed Control of Heterogeneous Cyclic Interconnection Structures

Content Provider	IEEE Xplore Digital Library
Author	Rice, J.K. van Wingerden, J.-W.
Copyright Year	1963
Abstract	We address the problem of fast system analysis and controller synthesis for heterogeneous subsystems interconnected in a loop. Such distributed systems have state-space realizations with a special matrix structure, which we show to be a generalization of the Sequentially Semi-Separable (SSS) structure employed in recent research on systems interconnected in a Cartesian array. By extending the O(N) structure-preserving SSS arithmetic to the matrices induced by this circular type of interconnection, we introduce a new cyclic SSS matrix structure and arithmetic which leads to fast and efficient procedures for linear computational complexity optimal distributed controller synthesis for arbitrarily heterogeneous subsystems connected in a loop. In the homogeneous case, where all subsystems are identical, the computational complexity reduces to O(1) and an interesting relationship with the infinite case is demonstrated. CSSS matrices can be non-Toeplitz (as compared to circulant matrices), a great expansion of domain, but when restricted to be Toeplitz (and thus circulant), the arithmetic reduces to O(1), a huge cost-savings. The procedures are demonstrated on two computational examples, using a freely available MATLAB toolbox implementation of these algorithms.
Sponsorship	IEEE Control Systems Society
Starting Page	2136
Ending Page	2142
Page Count	7
File Size	1413775
File Format	PDF
ISSN	00189286
Volume Number	58
Issue Number	8
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-08-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Riccati equations Mathematical model Symmetric matrices Distributed control MATLAB Generators network analysis and control Computational methods cyclic interconnection structures large scale systems
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering Computer Science Applications

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
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
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Low-Rank Second-Order Splitting of Large-Scale Differential Riccati Equations

An iterative method of solution of the algebraic Riccati equation

Decentralized control of a class of large-scale systems with symmetrically interconnected subsystems

Sparsity measures for spatially decaying systems

A reformulation of the algebraic Riccati equation problem

Distributed Control in Multiple Dimensions: A Structure Preserving Computational Technique

Analytic feedback control and the algebraic Riccati equation

Consensus Under Saturation Constraints in Interconnection States

Efficient Positive-Real Balanced Truncation of Symmetric Systems Via Cross-Riccati Equations

Computational Methods for Distributed Control of Heterogeneous Cyclic Interconnection Structures

Similar Documents

Low-Rank Second-Order Splitting of Large-Scale Differential Riccati Equations

An iterative method of solution of the algebraic Riccati equation

Decentralized control of a class of large-scale systems with symmetrically interconnected subsystems

Sparsity measures for spatially decaying systems

A reformulation of the algebraic Riccati equation problem

Distributed Control in Multiple Dimensions: A Structure Preserving Computational Technique

Analytic feedback control and the algebraic Riccati equation

Consensus Under Saturation Constraints in Interconnection States

Efficient Positive-Real Balanced Truncation of Symmetric Systems Via Cross-Riccati Equations

Computational Methods for Distributed Control of Heterogeneous Cyclic Interconnection Structures