Fuzzy integral Lyapunov function based fuzzy control for Takagi-Sugeno fuzzy systems with passive constraints

This paper studies the line-integral fuzzy Lyapunov function based fuzzy controller design for continuous-time Takagi-Sugeno fuzzy systems with multiplicative noises. For stability analysis and synthesis, the sufficient conditions are derived via line-integral fuzzy Lyapunov functions. These conditions belong to the linear matrix inequality forms which can be solved by the convex optimal programming algorithm. In addition, the passivity theory is utilized to deal with the effect of external disturbance in the system. Finally, a numerical example is supplied to show the usefulness and effectiveness of the proposed design method.