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Finite-region stabilization and H∞ control for 2-D FMLSS asynchronously switched system.
- Source :
-
Journal of the Franklin Institute . Sep2020, Vol. 357 Issue 14, p9127-9153. 27p. - Publication Year :
- 2020
-
Abstract
- In this paper, dwell time method incorporated with multiple Lyapunov-like functions are utilized to investigate the finite-region asynchronously switched control problems for 2-D switched system in the Fornasini-Marchesini local state-space (FMLSS) model. The finite-region stability (FRS) conditions for 2-D asynchronously switched FMLSS model are attained when there is no external disturbances. Then, the sufficient conditions in terms of dwell time scheme for the finite-region H ∞ control of 2-D asynchronously switched FMLSS model are derived. Based on the established conditions, the sufficient solvability conditions for designing the corresponding finite-region mode-dependent state feedback controllers are given according to linear matrix inequalities (LMIs). Two numerical examples are employed to show the effectiveness of the provided design methods. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00160032
- Volume :
- 357
- Issue :
- 14
- Database :
- Academic Search Index
- Journal :
- Journal of the Franklin Institute
- Publication Type :
- Periodical
- Accession number :
- 145680706
- Full Text :
- https://doi.org/10.1016/j.jfranklin.2020.04.039