Co-Design of Output-Based Event-Triggered Protocol and Sliding Mode Control for 2D Nonlinear Fornasini-Marchesini Network under Packet Dropouts

Abstract

This paper focuses on the stability and sliding mode issues for the two-dimensional (2D) Fornasini-Marchesini (FMII) networked control system under packet dropouts. Firstly, the output-based 2D event-triggered strategy was constructed to alleviate information transmission pressure caused by limited network resources. Secondly, by considering the impact of packet dropouts, we propose an output-based 2D sliding mode controller and formulate the output-based 2D error-estimation scheme accordingly. Moreover, to get rid of the nonlinear coupling of the conditions (to guarantee the mean-square stability), we established an adaptive intelligence algorithm. Finally, we provide a numerical example to verify the effectiveness and practicability of the proposed algorithm and controller design.