Event‐triggered stabilisation for T–S fuzzy systems with asynchronous premise constraints and its application to wind turbine system
Gnaneswaran Nagamani, Young Hoon Joo · IET Control Theory and Applications · 2019
In this study, an event‐triggered fuzzy controller is designed to stabilise a class of non‐linear systems expressed as a Takagi–Sugeno (T–S) fuzzy model with mismatched membership functions. At first, an event‐triggered fuzzy controller has been designed in terms of induced time delay. Secondly, the event‐triggered fuzzy system is presented as a time‐delay model with the asynchronous premise variables. Then, by introducing a time‐dependent Lyapunov–Krasovskii functional and based on the fuzzy based control approach, linear matrix inequality‐based stability conditions are established to guarantee the asymptotic stability of the proposed T–S fuzzy model. The derived conditions utilise the information on the membership functions of both fuzzy system and fuzzy controller. Finally, the proposed theoretical results are applied to stabilise the variable speed wind turbine system while saving the limited network resources. Further, through the truck–trailer example, the merits and the design procedure of the proposed technique have been demonstrated.