NDLI: A new robustness for discrete time problems with bounded uncertainty

Content Provider	IEEE Xplore Digital Library
Author	Barmish, B.R. Demarco, C.L. Tempo, R.
Copyright Year	1987
Description	Author affiliation: Politecnico di Torino, Torino, Italy (Tempo, R.) \|\| University of Wisconsin-Madison, Madison, Wisconsin (Barmish, B.R.; Demarco, C.L.)
Abstract	Motivated by a number of problems arising in systems and control, a Generalized Robustness Problem (GRP) is formulated in an operator theoretic setting. Subsequently, two versions of the GRP are considered: a local problem and a global problem. In the local case, the so-called target is fixed and a lemma is established which characterizes robust solutions as feasible points for a system of inequalities. The more general results on global robustness apply to systems with variable targets and lend themselves to some interesting physical interpretations. For example, when the theory is specialized to a class of robust tracking problems, the minimum singular value of a controllability-like matrix plays an important role. In addition to the necessary and sufficient conditions for solvability of the GRP, the paper also includes an illustrative example involving robust ARMA identification. This example is interesting because it shows that for certain feasible sets of observations, the "true parameters" describing the transfer function might be excluded from the set of robust solutions. Said another way, although it is highly desirable to generate the true parameters as a solution to an "ordinary" identification problem, such a solution may be not be consistent with the range of possible observations in the robustness problem.
Starting Page	1535
Ending Page	1541
File Size	622376
Page Count	7
File Format	PDF
DOI	10.1109/CDC.1987.272673
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1987-12-09
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Robustness Uncertainty Robust control Transfer functions Control systems Target tracking Linear matrix inequalities Control system synthesis Mathematical model Continuous time systems
Content Type	Text
Resource Type	Article

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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

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