Multiobjective fault detection observer design for a class of T-S fuzzy nonlinear systems

This article presents the design of fault detection fuzzy observer with multiple performance constraints for a class of nonlinear system with Takagi-Sugeno fuzzy form. The multiobjective optimization and consistency analysis are applied to meeting the desirable transient behavior, steady output variance and H- index performance requirements. Thus, the rapidity of response to fault detection, robustness to noisy disturbances and sensitivity to faults are guaranteed simultaneously. One advantage of our design is that the determination of detection threshold makes full use of the information in the stage of observer design. Meanwhile, the multiple fuzzy Lyapunov function and the slack of variables are used for decreasing the conservatism of conventional single Lyapunove function method. Simulation results indicated the effectiveness of the proposed method.