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Stabilization of controlled positive discrete‐time T‐S fuzzy systems by state feedback control
Author(s) -
Benzaouia Abdellah,
Hmamed Abdelaziz,
EL Hajjaji Ahmed
Publication year - 2010
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.1185
Subject(s) - control theory (sociology) , state (computer science) , mathematics , exponential stability , fuzzy control system , nonlinear system , lyapunov function , discrete time and continuous time , class (philosophy) , stability (learning theory) , positive systems , fuzzy logic , control (management) , computer science , linear system , mathematical analysis , artificial intelligence , algorithm , statistics , physics , quantum mechanics , machine learning
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.