NDLI: Parameter-dependent robust $H_{∞}$ model reduction for discrete-time switched polytopic linear systems

Content Provider	IEEE Xplore Digital Library
Author	Qiu Jianbin Feng Gang Yang Jie
Copyright Year	2007
Description	Author affiliation: Univ. of Sci. & Technol. of China, Suzhou (Qiu Jianbin; Feng Gang; Yang Jie)
Abstract	This paper investigates the problem of parameter-dependent robust $H_{∞}$ model reduction for a class of discrete-time switched linear systems with polytopic parameter uncertainties. The objective is to design a parameter-dependent homogeneous reduced-order switched system to approximate a given switched polytopic linear system such that the resulting error system is asymptotically stable with a guaranteed $H_{∞}$ performance γ for any switching rules. Based on a switched parameter-dependent quadratic Lyapunov function (SPDQLF) combined with Finsler's lemma, a novel sufficient condition in terms of a set of linear matrix inequalities (LMIs) for robust $H_{∞}$ performance analysis is first proposed and in turn the reduced-order models are synthesized. It is shown that by using a new linearization technique incorporating a bounding technique, the matrices for the reduced-order models can be obtained by solving a set of linear matrix inequalities, which are numerically efficient with commercially available software. Finally, a numerical example is provided to illustrate the effectiveness and less conservatism of the proposed approaches.
Starting Page	747
Ending Page	751
File Size	247737
Page Count	5
File Format	PDF
ISBN	9787811240559
DOI	10.1109/CHICC.2006.4347313
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-07-26
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Linear systems Uncertain systems Lyapunov method Linear matrix inequalities Switched parameter-dependent Lyapunov functions Polytopic uncertainties Switched systems Sufficient conditions Switched linear systems Linearization techniques Robustness Reduced order systems Performance analysis Model reduction
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

Robust stability of polytopic systems via affine parameter-dependent Lyapunov functions

LMI conditions for robust stability of discrete-time uncertain singular systems

Robust H∞ Estimation for Uncertain Continuous-Time Systems

Robust $H_{∞}$ control for a class of discrete switched systems with uncertainties and delays

Improved robust energy-to-peak filtering design for discrete-time switched polytopic linear systems with time-varying delay

Robust performance analysis of linear time-invariant parameter-dependent systems using higher-order Lyapunov functions

Robust switched static output feedback control for discrete-time switched linear systems

Improved delay-dependent robust H filtering of continuous-time polytopic linear systems with time-varying delay

Stability and stabilization of switched linear discrete-time systems with polytopic uncertainties

Parameter-dependent robust $H_{∞}$ model reduction for discrete-time switched polytopic linear systems

Similar Documents

Robust stability of polytopic systems via affine parameter-dependent Lyapunov functions

LMI conditions for robust stability of discrete-time uncertain singular systems

Robust H∞ Estimation for Uncertain Continuous-Time Systems

Robust $H_{∞}$ control for a class of discrete switched systems with uncertainties and delays

Improved robust energy-to-peak filtering design for discrete-time switched polytopic linear systems with time-varying delay

Robust performance analysis of linear time-invariant parameter-dependent systems using higher-order Lyapunov functions

Robust switched static output feedback control for discrete-time switched linear systems

Improved delay-dependent robust H filtering of continuous-time polytopic linear systems with time-varying delay

Stability and stabilization of switched linear discrete-time systems with polytopic uncertainties

Parameter-dependent robust $H_{∞}$ model reduction for discrete-time switched polytopic linear systems