Stability Analysis of Time-Delay Fuzzy Systems Using Fuzzy Lyapunov Method

This study presents an H controller design for time-delay Takagi-Sugeno (T-S) fuzzy systems based on the fuzzy Lyapunov method, which is defined in terms of fuzzy blending quadratic Lyapunov functions. The delay-dependent robust stability criterion is derived in terms of the fuzzy Lyapunov method to guarantee the stability of time-delay T-S fuzzy systems subjected to disturbances. Based on the delaydependent condition and parallel distributed compensation (PDC) scheme, the controller design problem is transformed into solving linear matrix inequalities (LMI). Keywords-Fuzzy system, Lyapunov method

• Type: Journal
• Year: 2009
• Where: ACIIDS
• Authors: Ken Yeh, Cheng-Wu Chen, Shu-Hao Lin, Chen-Yuan Chen
• Keywords: ACIIDS 2009, Blending Quadratic Lyapunov, Controller Design, Database, Fuzzy Lyapunov Method