Fuzzy fault tolerant control for nonlinear systems with sensor faults

This paper is concerned with the design of static output feedback(SOF) fuzzy controllers for a continuous-time Takagi-Sugeno fuzzy system with sensor faults. By introducing a particular change of variable, a convex sufficient condition with a line search over a scalar variable for designing fault tolerant SOF controllers is given in terms of a family of linear matrix inequalities. In contrast to some existing approaches, the new condition removes the equality constraint between the output matrix and Lyapunov matrix, then can reduce the conservatism of the existing conditions. Finally, a numerical example is given to verify the effectiveness of the proposed method.