A novel adaptive event‐triggering scheme for network descriptor systems with time‐delay. (21st September 2020)

• Record Type: Journal Article
• Authors: Wang, Yuzhong; Zhang, Tie; Ren, Junchao
• Is Part Of: International journal of robust and nonlinear control. Volume 30:Number 18(2020)
• Page Start: 7947
• Page End: 7961
• Publication Date: 2020-09-21
• Subjects: adaptive event‐triggering scheme -- descriptor systems -- linear matrix inequalities -- time‐delay; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.5211
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: This article is concerned with the problem of the event‐triggered H ∞ control for network descriptor systems with time‐delay under a novel adaptive event‐triggering scheme. First, to save more limited communication resource, a novel adaptive event‐triggering scheme is introduced to adaptively adjust the communication threshold. Second, by considering the network‐induced delay, the system's time‐varying delay, and the transmission scheme, a delay system method is used to build a novel time‐varying delay system model. Based on this model and Lyapunov function technology, sufficient stability conditions with the H ∞ disturbance performance to verdict admissible and stabilization conditions to codesign the controller gain are obtained in terms of linear matrix inequalities. Then, an event‐triggered H ∞ controller is proposed to stabilize descriptor systems with time‐delay. Finally, a numerical simulation example and a comparing example are employed to illustrate the effectiveness and the advantageous performances of the proposed adaptive event‐triggering scheme.