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.