Robust H∞ controller design for polynomial fuzzy control systems by sum-of-squares approach

摘要

This study presents the robust H∞ control of polynomial fuzzy systems when model uncertainties and external disturbances are simultaneously taken into account. Using a non-quadratic Lyapunov function, two stability conditions were derived in the form of sum-of-squares (SOS). The proposed polynomial fuzzy controller possesses H∞ robust performance against norm-bounded disturbances and uncertainties. Simulation results demonstrated the effectiveness of the proposed SOS-based stability conditions, which are more general than those of existing approaches.