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Robust stabilization of discrete-time nonlinear Lur’e systems with sector and slope restricted nonlinearities
- Source :
-
Applied Mathematics & Computation . Jun2008, Vol. 200 Issue 1, p429-436. 8p. - Publication Year :
- 2008
-
Abstract
- Abstract: In this paper, we present a novel method for the robust control problem of uncertain nonlinear discrete-time linear systems with sector and slope restrictions. The nonlinear function considered in this paper is expressed as convex combinations of sector and slope bounds. Then the equality constraint is derived by using convex properties of the nonlinear function. A stabilization criterion for the existence of the state feedback controller is derived in terms of linear matrix inequalities (LMIs) by using Finsler’s lemma. The proposed method is demonstrated by a system with saturation nonlinearity. [Copyright &y& Elsevier]
- Subjects :
- *EQUALITY
*SOCIAL attitudes
*POLITICAL science
*SOCIOLOGY
Subjects
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 200
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 32049932
- Full Text :
- https://doi.org/10.1016/j.amc.2007.11.031