Quantized H∞ Control for Takagi-Sugeno Fuzzy Systems via Line-Integral Lyapunov Functions

This paper is concerned with the issue of quantized $H_{\infty}$ control for Takagi-Sugeno(T-S) fuzzy systems through line-integral fuzzy Lyapunov function (FLF). By using the dynamic quantizer which allows the controlled output to involve the control input signal and the external disturbance, the specified $H_{\infty}$ performance attenuation level that the quantized closed-loop system reaches is ensured. Moreover, the sufficient conditions are derived for the state feedback and static output feedback controllers by using the Lyapunov function approach and the linear matrix inequalities (LMIs). Finally, two numerical examples are given to prove the effectiveness of the presented design method.