Observer‐based event‐triggered control co‐design for linear systems

The study deals with an observer‐based event‐triggered control strategy for linear systems using only local (i.e. available) variables. Sufficient conditions based on linear matrix inequalities associated to convex optimisation problems are proposed to ensure the asymptotic stability of the closed loop and the output convergence to a constant reference in both emulation and co‐design contexts. Indeed, the proposed approach allows either to design the event‐triggering rules or co‐design the event‐triggering rule along with the controller gain.