File Download
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1109/ACC.2013.6580757
- Scopus: eid_2-s2.0-84883548402
- Find via
Supplementary
-
Citations:
- Scopus: 0
- Appears in Collections:
Conference Paper: A gram-SOS approach for robust stability analysis of discrete-time systems with time-varying uncertainty
Title | A gram-SOS approach for robust stability analysis of discrete-time systems with time-varying uncertainty |
---|---|
Authors | |
Keywords | Discrete time system Discrete-time case Robust asymptotical stabilities Robust stability analysis Time varying uncertainties Time-varying parametric uncertainties |
Issue Date | 2013 |
Publisher | American Automatic Control Council. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000030 |
Citation | The 2013 American Control Conference (ACC), Washington, DC., 17-19 June 2013. In American Control Conference Proceedings, 2013, p. 5863-5868 How to Cite? |
Abstract | This paper addresses the problem of establishing robust asymptotical stability of discrete-time systems affected by time-varying parametric uncertainty. Specifically, it is supposed that the coefficients of the system depend linearly on the uncertainty, and that the uncertainty is confined into a polytope. In the continuous-time case, the problem can be addressed by imposing that the system admits a common homogeneous polynomial Lyapunov function (HPLF) at the vertices of the polytope. Unfortunately, such a strategy cannot be used in the discrete-time case since the derivative of the HPLF is nonlinear in the uncertainty. The problem is addressed in this paper through linear matrix inequalities (LMIs) by proposing a novel method for establishing decrease of the HPLF. This method consists, firstly, of introducing a Gram matrix built with respect to the state and parametrized by an arbitrary vector function of the uncertainty, and secondly, of requiring that a transformation of the introduced Gram matrix is a sum of squares (SOS) of matrix polynomials. The proposed method provides a condition for robust asymptotical stability that is sufficient for any degree of the HPLF candidate and that includes quadratic robust stability as special case. © 2013 AACC American Automatic Control Council. |
Persistent Identifier | http://hdl.handle.net/10722/184986 |
ISBN | |
ISSN | 2023 SCImago Journal Rankings: 0.575 |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chesi, G | en_US |
dc.date.accessioned | 2013-07-15T10:22:16Z | - |
dc.date.available | 2013-07-15T10:22:16Z | - |
dc.date.issued | 2013 | en_US |
dc.identifier.citation | The 2013 American Control Conference (ACC), Washington, DC., 17-19 June 2013. In American Control Conference Proceedings, 2013, p. 5863-5868 | en_US |
dc.identifier.isbn | 978-1-4799-0178-4 | - |
dc.identifier.issn | 0743-1619 | - |
dc.identifier.uri | http://hdl.handle.net/10722/184986 | - |
dc.description.abstract | This paper addresses the problem of establishing robust asymptotical stability of discrete-time systems affected by time-varying parametric uncertainty. Specifically, it is supposed that the coefficients of the system depend linearly on the uncertainty, and that the uncertainty is confined into a polytope. In the continuous-time case, the problem can be addressed by imposing that the system admits a common homogeneous polynomial Lyapunov function (HPLF) at the vertices of the polytope. Unfortunately, such a strategy cannot be used in the discrete-time case since the derivative of the HPLF is nonlinear in the uncertainty. The problem is addressed in this paper through linear matrix inequalities (LMIs) by proposing a novel method for establishing decrease of the HPLF. This method consists, firstly, of introducing a Gram matrix built with respect to the state and parametrized by an arbitrary vector function of the uncertainty, and secondly, of requiring that a transformation of the introduced Gram matrix is a sum of squares (SOS) of matrix polynomials. The proposed method provides a condition for robust asymptotical stability that is sufficient for any degree of the HPLF candidate and that includes quadratic robust stability as special case. © 2013 AACC American Automatic Control Council. | - |
dc.language | eng | en_US |
dc.publisher | American Automatic Control Council. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000030 | - |
dc.relation.ispartof | American Control Conference Proceedings | en_US |
dc.subject | Discrete time system | - |
dc.subject | Discrete-time case | - |
dc.subject | Robust asymptotical stabilities | - |
dc.subject | Robust stability analysis | - |
dc.subject | Time varying uncertainties | - |
dc.subject | Time-varying parametric uncertainties | - |
dc.title | A gram-SOS approach for robust stability analysis of discrete-time systems with time-varying uncertainty | en_US |
dc.type | Conference_Paper | en_US |
dc.identifier.email | Chesi, G: chesi@eee.hku.hk | en_US |
dc.identifier.authority | Chesi, G=rp00100 | en_US |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1109/ACC.2013.6580757 | - |
dc.identifier.scopus | eid_2-s2.0-84883548402 | - |
dc.identifier.hkuros | 216395 | en_US |
dc.identifier.spage | 5863 | - |
dc.identifier.epage | 5868 | - |
dc.publisher.place | United States | - |
dc.customcontrol.immutable | sml 140122 | - |
dc.identifier.issnl | 0743-1619 | - |