DELAY-DEPENDENT STABILIZATION CONDITIONS OF CONTROLLED POSITIVE T-S FUZZY SYSTEMS WITH TIME VARYING DELAY

作者：Benzaouia Abdellah^*; El Hajjaji Ahmed

来源：International Journal of Innovative Computing Information and Control, 2011, 7(4): 1533-1547.

• LMI
• Parallel distributed compensation
• Lyapunov-Krasovskii functional
• T-S fuzzy systems
• Stabilization
• Time-delay
• Positive systems

This paper deals with the problem of delay-dependent stability and the stabilization of Takagi-Sugeno (T-S) fuzzy systems with a time-varying delay wide imposing positivity in closed-loop. The stabilization conditions are derived using the single Lyapunov-Krasovskii Functional (LKF) combining the introduction of free-single matrices. A memory feedback control is also used in case the delay matrix is not nonnegative. An example of a real plant is studied to show the advantages of the design procedures.

• 出版日期2011-4