Stabilization of controlled positive discrete-time T-S fuzzy systems by state feedback control

作者：Benzaouia Abdellah^*; Hmamed Abdelaziz; Hajjaji Ahmed E L

来源：International Journal of Adaptive Control and Signal Processing, 2010, 24(12): 1091-1106.

DOI：10.1002/acs.1185

• nonlinear systems
• positive systems
• discrete-time systems
• Takagi-Sugeno fuzzy model
• multiple Lyapunov functions
• LMIs

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.

• 出版日期2010-12