Sliding Mode Control of Interval Type-2 Fuzzy Systems Under Round-Robin Scheduling Protocol

In this article, the sliding mode control (SMC) design problem is investigated for a class of discrete-time interval type-2 fuzzy systems, in which the scheduling of sensors is ruled by the round-Robin communication protocol. This means that at any time, only one sensor node can transmit its value to the controller side. To deal with this phenomenon, a compensation scheme is proposed for other sensor nodes, based on which the past measured signal stored in the corresponding buffers may be utilized by the controller. And then, a token-dependent sliding mode controller is synthesized. Sufficient conditions are derived such that the system states can reach a neighborhood of the sliding surface and the resultant closed-loop fuzzy system is input-to-state stable. Finally, simulation results verify the effectiveness of the proposed SMC method.

Automated summary

This article investigates a sliding mode control (SMC) design problem for a class of discrete-time interval type-2 fuzzy systems where sensors are scheduled by a round-Robin communication protocol. A compensation scheme is proposed for other sensor nodes, based on which a token-dependent sliding mode controller is synthesized. Sufficient conditions are derived to ensure system states can reach a neighborhood of the sliding surface, resulting in an input-to-state stable closed-loop fuzzy system. Simulation results validate the effectiveness of the proposed SMC method.