Abstract
The random fuzzy slow state feedback control approaches based on a standard discrete-time fuzzy singularly perturbed model (SDTFSPM) are investigated for networked two time-scale nonlinear systems (NTTSNSs). A SDTFSPM is constructed firstly to describe considered TTSNSs. Based on the SDTFSPM, random fuzzy slow state feedback controllers (RFSSFCs) with data packets dropout and the RFSSFC with time-delay and data packets dropout for NTTSNSs are designed, respectively. Controller existence conditions described by a set of ε-dependent LMIs are provided. Simulation results show that presented methods not only can overcome time-delay and random date packets dropout but also can restrain flexible vibration caused by fast time-scales to stabilise NTTSNSs. In contrast to the existing results, the proposed methods can obtain the higher control performance and handle NTTSNSs with high dimension, so they have better practical value.
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