NDLI: On Floquet-Fourier Realizations of Linear Time-Periodic Impulse Responses

Content Provider	IEEE Xplore Digital Library
Author	Sandberg, H.
Copyright Year	2006
Description	Author affiliation: Control & Dynamical Syst., California Inst. of Technol., Pasadena, CA (Sandberg, H.)
Abstract	We show that a linear time-periodic system with a smooth impulse response can be arbitrarily well approximated by a linear time-periodic state-space representation in so-called Floquet-Fourier form. The Floquet-Fourier form has a constant state matrix and the input and output matrices have only finitely many nonzero Fourier coefficients. Such representations are easier to use for analysis and control design than the impulse response or fully general state-space forms. The construction of the Floquet-Fourier form is done using methods for model approximation of infinite-dimensional linear time-invariant systems. We also propose a method for constructing minimal realizations from impulse responses of a special structure
Starting Page	1411
Ending Page	1416
File Size	192255
Page Count	6
File Format	PDF
ISBN	1424401712
DOI	10.1109/CDC.2006.377638
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-12-13
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Control design Control systems Linear approximation Filters USA Councils Control engineering Reduced order systems System identification Control system synthesis Control system analysis
Content Type	Text
Resource Type	Article

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

L2 Gain Approximation of Nonlinear Systems: a Heuristic Approach

$H_{∞}$ Model Reduction of Symmetric Systems Using LMIs

Design of low order approximately linear phase IIR filters

Reduced order model predictive control method based on decomposition of discrete-time linear systems

An output regulation problem for switched linear systems in discrete time

Reduced parameter Volterra filters

LPV system identification with globally fixed orthonormal basis functions

Design of sliding mode controllers for linear uncertain systems based on first order approximation filters

Simultaneous Identification and Control of Time-Varying Systems

On Floquet-Fourier Realizations of Linear Time-Periodic Impulse Responses

Similar Documents

L2 Gain Approximation of Nonlinear Systems: a Heuristic Approach

$H_{∞}$ Model Reduction of Symmetric Systems Using LMIs

Design of low order approximately linear phase IIR filters

Reduced order model predictive control method based on decomposition of discrete-time linear systems

An output regulation problem for switched linear systems in discrete time

Reduced parameter Volterra filters

LPV system identification with globally fixed orthonormal basis functions

Design of sliding mode controllers for linear uncertain systems based on first order approximation filters

Simultaneous Identification and Control of Time-Varying Systems

On Floquet-Fourier Realizations of Linear Time-Periodic Impulse Responses