Robust Takagi–Sugeno fuzzy control design for non‐linear networked control systems with asynchronous premise variables

Abstract

This study is devoted to controlling a class of non-linear systems in the presence of packet transmission delays, packet losses and sampling-related phenomena over a communication network. To increase the applicability of the Takagi–Sugeno (T–S) fuzzy approach for non-linear networked control systems, this study sets the premise variables in T–S fuzzy plant and control to be asynchronous and then introduces a useful relaxation technique in a better position to handle the asynchronous problem. Moreover, this study provides a method capable of exploiting fully the induced delay term d (t) from the derivation of robust stabilisation condition.