New characterization of positive realness and control of a class of uncertain polytopic discrete-time systems

Shaosheng Zhou; James Lam; Gang Feng

doi:10.1016/j.sysconle.2004.09.007

Author(s)

Shaosheng Zhou
James Lam
Gang Feng

Detail(s)

Original language	English
Pages (from-to)	417-427
Journal / Publication	Systems and Control Letters
Volume	54
Issue number	5
Publication status	Published - May 2005

Link(s)

DOI	DOI https://doi.org/10.1016/j.sysconle.2004.09.007 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-15844365162&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(be85ca1b-e273-401d-8892-ec08e624f5eb).html

Abstract

This paper deals with the problems of positive real analysis and control synthesis for a class of discrete-time polytopic systems with uncertainties. The systems under consideration are modelled in a polytopic form with linear fractional uncertainties in its vertices. A new linear matrix inequality (LMI) characterization of positive realness for this class of systems is given. It enables one to check the positive realness by using parameter-dependent Lyapunov function. This new characterization exhibits a kind of decoupling between the Lyapunov matrix and the system matrices, which is subsequently exploited for control design. Based on the new result, sufficient conditions with reduced conservatism are obtained. A numerical example is also included to demonstrate the applicability of the proposed results. © 2004 Elsevier B.V. All rights reserved.

Research Area(s)

Discrete-time systems, Linear matrix inequality, Positive realness, Robust stability, Uncertain systems

Citation Format(s)

[ RIS ] [ BibTeX ]

New characterization of positive realness and control of a class of uncertain polytopic discrete-time systems. / Zhou, Shaosheng; Lam, James; Feng, Gang.
In: Systems and Control Letters, Vol. 54, No. 5, 05.2005, p. 417-427.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Zhou, S, Lam, J & Feng, G 2005, 'New characterization of positive realness and control of a class of uncertain polytopic discrete-time systems', Systems and Control Letters, vol. 54, no. 5, pp. 417-427. https://doi.org/10.1016/j.sysconle.2004.09.007

Zhou, S., Lam, J., & Feng, G. (2005). New characterization of positive realness and control of a class of uncertain polytopic discrete-time systems. Systems and Control Letters, 54(5), 417-427. https://doi.org/10.1016/j.sysconle.2004.09.007

Zhou S, Lam J, Feng G. New characterization of positive realness and control of a class of uncertain polytopic discrete-time systems. Systems and Control Letters. 2005 May;54(5):417-427. doi: 10.1016/j.sysconle.2004.09.007

Zhou, Shaosheng ; Lam, James ; Feng, Gang. / New characterization of positive realness and control of a class of uncertain polytopic discrete-time systems. In: Systems and Control Letters. 2005 ; Vol. 54, No. 5. pp. 417-427.