Event‐triggered stabilization for large‐scale interconnected systems with time delays

Abstract

This article addresses the event-triggered stabilization for large-scale interconnected systems in presence of time delays. Two types of event-triggering mechanisms (static event-triggering mechanism and dynamic event-triggering mechanism) are constructed. For each case, event-triggered predictor-based controller is designed to compensate time delays by using backstepping method. Via Lyapunov approach, constructive exponential stability conditions are established in the framework of linear matrix inequalities (LMIs). A numerical simulation example is given to demonstrate the effectiveness of the proposed methods.

Distributed extended state observer design and output feedback anti‐disturbance control for nonlinear interconnected systems: A dynamic memory event‐triggered mechanism

“…(16) Note that ĀT 𝑗i1 Ā𝑗i1 = A T 𝑗i A 𝑗i , further, in the absence of v i (t), the following inequality holds: 11) i𝑗 Q i Bi1 * Ξ (22) i𝑗 ] , Ξ (11) i𝑗 = s𝑦m…”

“…] T , we can obtain (22) i𝑗 11) i𝑗 = Ξ (11) i𝑗 + C T 2i C 2i , Π (22) i𝑗 = Ξ (22) i𝑗 . It can be seen that when…”

“…Let Lii = P i Lii . By applying Schur complement lemma in Boyd et al [38] to Π (22) i𝑗 , the final stability condition can be got as (21).…”

“…The fundamental principle behind ETC is that data are transmitted only when the designed triggering condition is satisfied [20,21]. Recent research on ETC strategies has yielded useful results, particularly regarding the static ETC [22] and dynamic event-triggered control (DETC) approaches [23]. For instance, a decentralized event-triggered dynamic output feedback controller was constructed for ISs with disturbance [24].…”

Stability analysis of nonlinear systems in the presence of event‐triggered impulsive control

“…The exponential stability was studied for interconnected delayed linear systems with DETM by Lyapunov method and LMIs. Paper 22 also supplied a DETM for linear systems control to reduce the frequency at which events are triggered. In this article, we consider above two trigger mechanisms with impulsive control, namely, dynamic event‐triggered impulsive control mechanism (DETICM) and continuous event‐triggered impulsive control mechanism (CETICM).…”