Stability Analysis and Robust Stabilization of Uncertain Fuzzy Time-Delay Systems

Abstract

New sufficient conditions for delay-independent and delay-dependent robust stability of uncertain fuzzy time-delay systems based on uncertain fuzzy Takagi-Sugeno (T-S) models are presented by using the properties of matrix and norm measurements. Further sufficient conditions are formulated, in terms of the linear matrix inequalities (LMIs) of robust stabilization, and are developed via the technique of parallel distributed compensation (PDC), and then the simplification of the conditions for the controller design of uncertain fuzzy time-delay systems. The proposed methods are simple and effective. Some examples below are presented to illustrate our results.

Keywords

• Takagi-Sugeno (T-S) fuzzy system
• delay-dependent stability
• delay-independent stability
• parallel distributed compensation (PDC)
• time-delay systems
• robust control