Dynamic event‐triggered sliding mode control of networked switched systems with imperfect transmissions

As a significant type of dynamic systems, switched systems have been successfully applied to the construction of many engineering fields. Recently, the studies of networked switched control systems have received a lot of attention. However, the intervention of the network often causes the delay or packet loss during data transmission, resulting in incomplete data transmission. The paper studies a sliding mode observer design for above‐mentioned systems with external disturbance under an imperfect transmission communication link. By constructing a dynamic event generator, a dynamic event‐triggered mechanism between the event‐generator and controller is developed to save additional network bandwidth and improve system performance. A desirable sliding surface function is built to solve the complexity of system analysis problems caused by network‐induced delay and packet‐dropout‐induced imperfect transmission. Then, a corresponding event‐based integral‐type sliding mode observer is constructed to estimate inaccessible system states, guaranteeing the reachability of the sliding surface. Based on the augmented system dynamics, sufficient conditions are derived to guarantee exponent stability with a weighted ℒ2$$ {\mathcal{L}}_2 $$‐ℒ∞$$ {\mathcal{L}}_{\infty } $$ performance level. Finally, two simulations are presented to demonstrate the feasibility and effectiveness of the proposed method.