H∞control of event-triggered quasi-LPV systems based on an exact discretization approach — A linear matrix inequality approach

Dynamic event‐triggered‐based anti‐disturbance control for uncertain LPV systems

“…Multiplying the inequality (23) to left and right by diag{I, Υ(𝜛), I} and applying the Schur complement lemma again we can obtain the inequality (22). ▪ Remark 6.…”

“…To obtain a minimal L 2 gain lever, the following optimization problem can be utilized in the design process: min s.t. (22) Q(𝜛) > 0 𝛼. Remark 7.…”

Dynamic event-triggered-based anti-disturbance control for uncertain LPV systems

“…There have been many studies on the anti-disturbance control issue for LPV system over the past decades. In 20 , 21 , 22 , the 𝐻 ∞ anti-disturbance control issue were studied for LPV system. In 23 , a bumpless transfer 𝐻 ∞ anti-disturbance control issue was proposed for switched LPV system.…”

“…ii) Instead of using the system state to design the event-triggered condition in 22 , 31 , we use control input as event-triggered criterion. This saves the signal transmission resources from the controller to the system instead of the signal transmission resources from the system to the controller like that in 35 , 36 .…”

“…This saves the signal transmission resources from the controller to the system instead of the signal transmission resources from the system to the controller like that in 35 , 36 . Unlike the event-triggered control investigations on the uncertain LPV systems in 22 , 30 , 33 , 37 , the developed event-triggered condition is dynamic, which usually allows bigger triggering intervals than the static ones in 22 , 30 , 33 , 37 .…”