Sliding Mode Control for Networked Interval Type-2 Fuzzy Systems via Random Multiaccess Protocols

Abstract

In this article, the sliding mode control problem is considered for interval type-2 fuzzy systems under the access-constrained communication network. The sensors and actuators are selected in a random manner, under which only a part of sensor/actuator nodes can be permitted to access the communication channels. The access status of the sensor and actuator is described by two independent Markov chains. To deal with the complexity of two Markov chains on the control design, the mapping technique is used to generate a new variable obeying a Markov chain, which can simultaneously reflect the access status of the sensor and actuator. Furthermore, a scheduling signal-dependent fuzzy sliding mode controller is designed, and the MF-dependent sufficient conditions are given to ensure the stochastic stability of the controlled system and the reachability of the sliding surface. Besides, an optimization-based solving algorithm is proposed to search the sliding matrix and obtain the optimized control gains for reducing the energy consumption of control input. Finally, the simulation results of a numerical example and the 2-degree-of-freedom helicopter system are given.