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Stabilization of controlled positive discrete‐time T‐S fuzzy systems by state feedback control |
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| Authors: | Abdellah Benzaouia Abdelaziz Hmamed Ahmed EL Hajjaji |
| Affiliation: | 1. EACPI, University Cadi Ayyad, Faculty of Science Semlalia, P.B. 2390, Marrakech, Morocco;2. LESSI, University Mohamed Ben Abdellah, Faculty of Sciences Dhar EL Mhraz, BP 1796, Fes, Morocco;3. MIS, University of Picardie Jule‐Vernes, 7 Rue du Moulin Neuf, 80000 Amiens, France |
| Abstract: | This paper deals with sufficient conditions of asymptotic stability and stabilization for nonlinear discrete‐time systems represented by a Takagi–Sugeno‐type fuzzy model whose state variables take only nonnegative values at all times t for any nonnegative initial state. This class of systems is called positive systems. The conditions of stabilizability are obtained with state feedback control. This work is based on multiple Lyapunov functions. The results are presented in linear matrix inequalities form. A real plant is studied to illustrate this technique. Copyright © 2010 John Wiley & Sons, Ltd. |
| Keywords: | nonlinear systems positive systems discrete‐time systems Takagi– Sugeno fuzzy model multiple Lyapunov functions LMIs |
