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In this paper, under limited communication resources, the sliding mode control problem is investigated for 2D the second Fornasini-Marchesini systems with one finite-interval direction. A two-index-based event-triggered scheme is proposed to avert unnecessary signal transmissions from sensors to the controller. According to the finite-interval bound and the previous access node, a channel scheduling mechanism is established to periodically orchestrate the communication between controller and actuators, where the access node is selected point by point via the round-robin protocol. Afterwards, a 2D sliding function involving the present state and two previous partial states is constructed and the sliding mode controller is designed by means of the triggered states and scheduling signals. Furthermore, the asymptotic stability of the closed-loop system is guaranteed and the feasible controller gains are obtained. Finally, the proposed control scheme is demonstrated by a simulation example.
Lv et al. (2024) studied this question.