NDLI: Two-DOF lifted LMI conditions for robust D-stability of polynomial matrix polytopes

Content Provider	Springer Nature Link
Author	Wang, Yong Liang, Shu
Copyright Year	2013
Abstract	This technical note investigates the problem of checking robust D-stability of polytopes of polynomial matrices. Lifted linear matrix inequality (LMI) conditions with two-DOF (two degree of freedom) positive integers (τ, κ) are derived to possess more flexible tradeoff between the conservatism and computational complexity. In the process of formulating the LMIs, the relevant region D is represented by a quadratic constraint in the complex plane. The matrix, composing the quadratic form with the vector of a variable, is called the region matrix. Then a variable substitution approach is put forward for the lifted LMI version by extending the dimensions of the region matrix and the Lyapunov matrix. The effectiveness and advantages of the proposed method have been illustrated by numerical examples.
Starting Page	636
Ending Page	642
Page Count	7
File Format	PDF
ISSN	15986446
Journal	International Journal of Control, Automation and Systems
Volume Number	11
Issue Number	3
e-ISSN	20054092
Language	English
Publisher	Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers
Publisher Date	2013-06-15
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	D -stability linear matrix inequality polynomial matrices polytopic uncertainty relaxation. Control, Robotics, Mechatronics
Content Type	Text
Resource Type	Article
Subject	Control and Systems 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

A Less Conservative LMI Condition for Robust ${cal D}$-Stability of Polynomial Matrix Polytopes—A Projection Approach

Robust D-stability of uncertain MIMO systems: LMI criteria (2002)

LMI-based robust sampled-data stabilization of polytopic LTI systems: A truncated power series expansion approach

Polynomially parameter-dependent Lyapunov functions for robust stability of polytopic systems: an LMI approach

FIR-type robust H $_{2}$ and H $_{∞}$ control of discrete linear time-invariant polytopic systems via memory state-feedback control laws

A Lyapunov functional approach to robust stability analysis of continuous-time uncertain linear systems in polytopic domains

FIR-type state-feedback control law for discrete-time LTI systems with polytopic uncertainties

A new LMI condition for robust stability of polynomial matrix polytopes

Delay dependent robust stability of singular systems with time-varying delay

Two-DOF lifted LMI conditions for robust D-stability of polynomial matrix polytopes

Similar Documents

A Less Conservative LMI Condition for Robust ${cal D}$-Stability of Polynomial Matrix Polytopes—A Projection Approach

Robust D-stability of uncertain MIMO systems: LMI criteria (2002)

LMI-based robust sampled-data stabilization of polytopic LTI systems: A truncated power series expansion approach

Polynomially parameter-dependent Lyapunov functions for robust stability of polytopic systems: an LMI approach

FIR-type robust H $_{2}$ and H $_{∞}$ control of discrete linear time-invariant polytopic systems via memory state-feedback control laws

A Lyapunov functional approach to robust stability analysis of continuous-time uncertain linear systems in polytopic domains

FIR-type state-feedback control law for discrete-time LTI systems with polytopic uncertainties

A new LMI condition for robust stability of polynomial matrix polytopes

Delay dependent robust stability of singular systems with time-varying delay

Two-DOF lifted LMI conditions for robust D-stability of polynomial matrix polytopes