ℓ2−ℓ∞$$ {\ell}_2-{\ell}_{\infty } $$ tracking control for multidelayed systems under accumulation‐based event‐triggered protocol

Abstract

In this paper, the tracking control problem is investigated for a class of discrete‐time multidelayed systems under the accumulation‐based event‐triggered protocol. The considered phenomena of multidelays, which are extremely common in the real world, include the time‐varying delays and the constant delays. The accumulation‐based event‐triggered protocol is deployed in the communication from sensors to the remote tracking controller in order to alleviate the communication burden. By utilizing the Lyapunov–Krasovskii functional and matrix inequality technology, sufficient conditions are presented to guarantee the exponential stability of the tracking error and the performance, and the controller gain is subsequently designed. Finally, a simulation example is conducted to verify the validity of the developed tracking control scheme.