Sliding mode control for non‐linear networked control systems subject to packet disordering via prediction method

Abstract

This study investigates sliding mode control (SMC) for non-linear networked control systems (NCSs) subject to packet disordering as well as external disturbances. The main objectives of the proposed method are to predict packet disordering and to stabilise the NCSs in case of the unknown packet disordering in the future. Firstly, linearisation of non-linear systems and the technology of adopting the newest control input with a stochastic parameter are employed to model the system as a linear Markovian jumping system. Secondly, with the application of a time series prediction model, the phenomenon of disordering better under the novel measurement is portrayed. Then, robust H ∞ SMC is designed by solving the linear matrix inequalities (LMIs). Finally, examples with sampled disordering packets are simulated to illustrate the effectiveness and advantages of the proposed method.