H∞ control for interval type-2 fuzzy singularly perturbed systems with multi-node round-robin protocol and packet dropouts

The $H_{\infty }$ control of the interval type-2 (IT2) fuzzy singularly perturbed systems (SPSs) with packet losses is studied in this paper. To alleviate data collision, a multi-node round-robin protocol (RRP) is adopted to decide the communication sequences between the sensors and controller. With the help of multi-node RRP, only partial sensor nodes have the priority to access the network channels at each instant. Meanwhile, a Bernoulli packet dropout model is used to further analyze the occurrence of packet dropouts during data transmission. This article's main research results and contributions consist of two parts: (1) Firstly, by combining multi-node RRP, Bernoulli packet loss model and mismatched membership functions, an IT2 fuzzy controller dependent on scheduling state information is designed, under which the control performance of the system can be effectively enhanced. (2) Secondly, by establishing a new Lyapunov functional related to singular perturbation parameter, the system stability conditions can be obtained and ill-conditioned issue is alleviated. Eventually, the feasibility of developed method is validated by the Van der Pol circuit system example.