Secure sliding mode control of interval type-2 fuzzy systems against intermittent denial-of-service attacks

This article focuses on the sliding mode control of a class of interval type-2 fuzzy systems with immeasurable states. During the data transmission from the sensor to the controller, the intermittent denial-of-service (DoS) attacks may be launched by vicious opponents. A key issue is to evaluate the tolerable region of the attacks for keeping the desired dynamic performance of the controlled interval type-2 fuzzy systems. To this end, two weighting coefficients are first introduced to construct new membership functions. Based on this, a switched interval type-2 fuzzy estimator is proposed to estimate the immeasurable state and compensate for the lost measurements caused by DoS attacks. And then, considering different DoS statues, a switched sliding mode controller transiting between the attack free and active cases is synthesized such that the specified sliding surface can be reached. In addition, the acceptable DoS region is quantitatively analyzed via a switched Lyapunov function. It is proven that the input-to-state stability of the sliding mode dynamics and the error system can be ensured within this tolerable DoS region. Finally, a simulation example is provided to illustrate the proposed control scheme.

Automated summary

This article focuses on the sliding mode control of a class of interval type-2 fuzzy systems with immeasurable states, proposing a switched control scheme to counteract malicious DoS attacks while ensuring system stability and performance.