Sliding mode control for IT2 fuzzy semi-Markov systems with faults and disturbances

Highlights：

• The SMC-based robust fault-tolerant control technique is proposed to examine the stability of IT2 fuzzy SMJSs against faults, time delay, uncertainties and multiple disturbances.

• A new fuzzy disturbance observer model is combined with a fuzzy fault diagnosis observer to get the precise estimation of disturbances and faults acting on the considered system.

• Based on the estimated information, a composite fuzzy fault-tolerant controller is designed such that the resulting system is stochastically stable, and at the same time the prescribed H8 disturbance attenuation and rejection performance is achieved.

• Finally, some numerical examples are presented in order to exhibit the accuracy of the proposed H8 based composite fault-tolerant control method in tackling faults and multiple disturbances acting on the considered system.

摘要

•The SMC-based robust fault-tolerant control technique is proposed to examine the stability of IT2 fuzzy SMJSs against faults, time delay, uncertainties and multiple disturbances.•A new fuzzy disturbance observer model is combined with a fuzzy fault diagnosis observer to get the precise estimation of disturbances and faults acting on the considered system.•Based on the estimated information, a composite fuzzy fault-tolerant controller is designed such that the resulting system is stochastically stable, and at the same time the prescribed H8 disturbance attenuation and rejection performance is achieved.•Finally, some numerical examples are presented in order to exhibit the accuracy of the proposed H8 based composite fault-tolerant control method in tackling faults and multiple disturbances acting on the considered system.