Fault-tolerant control for a class of T–S fuzzy systems via delta operator approach

•A fuzzy fault detection observer is constructed by means of T–S fuzzy delta operator systems.•A new approach is established for the estimation of faults in a class of nonlinear systems.•An active fault-tolerant controller is designed to compensate for the effect of the faults and makes the closed-loop fuzzy delta operator system stable.

This paper studies a fault-tolerant control scheme for T–S fuzzy models based on delta operator approach. A fuzzy fault detection observer is constructed by means of T–S fuzzy delta operator systems. Moreover, a new approach is established for the estimation of faults in a class of nonlinear systems. The proposed fault-detection observer can be obtained in terms of the solvability of linear matrix inequalities. Then, an active fault-tolerant controller is designed to compensate for the effect of the faults and makes the closed-loop fuzzy delta operator system stable. A numerical example is provided to illustrate the effectiveness of the proposed design techniques.