PPDC Design-Based $H_{\infty}$ Non-Fragile Controller for a Class of Bilinear Systems

This paper deals with robust control problem of Takagi-Sugeno (T-S) fuzzy bilinear systems. Based on proportional parallel distributed compensation (PPDC) approach, H
_∞
synthesis criterion, and linear matrix inequality (LMI) tools, sufficient global asymptotic stability conditions with decay rate and external disturbances attenuation of the controlled system are established. Finally, an illustrative example of stabilizing a nonlinear mass-spring-damper mechanical system is given to illustrate the effectiveness.