Affiliation:
1. School of Mathematics and Statistics Shaanxi Normal University Xi'an China
2. Teaching Department of Basic Course Shanxi Vocational University of Engineering Science and Technology Jinzhong China
Abstract
AbstractThe study focuses on the event‐triggered dynamic output feedback control for a type of switched linear neutral systems under time‐varying delays and frequent asynchronism. Distinct from the existing literatures about asynchronous switching, which restricts the minimum dwell time, frequent switching is allowed to occur within each inter‐event interval by reason of average dwell time method. Then, concentrated on switched neutral time‐delay system, a novel sufficient condition is established under which proposed event‐triggered control scheme guarantees its the global uniform exponential stability by using the controller‐mode‐dependent Lyapunov functional together with dynamic output feedback controller. Subsequently, the sufficient criteria are deduced for co‐designing the dynamic output feedback controller and mode‐dependent event‐triggered mechanism. Additionally, it is proved that a positive minimum threshold on the inter‐event intervals exists, which eliminates Zeno phenomenon. In the end, a numerical simulation indicates the efficacy of the acquired results.
Funder
National Natural Science Foundation of China
Fundamental Research Funds for the Central Universities
Natural Science Basic Research Program of Shaanxi Province
Reference34 articles.
1. On stabilizability of switched positive linear systems under state‐dependent switching;Ding X. Y.;Appl. Math. Comput.,2017
2. L2$$ {L}_2 $$‐gain analysis and anti‐windup design of switched linear systems subject to input saturation;Zhang X. Q.;Asian J. Control,2017
3. Exponential stabilization of switched linear systems subject to actuator saturation with stabilizable and unstabilizable subsystems;Ma R. C.;J. Franklin Inst.,2020
4. For switched nonlinear time‐varying systems using indefinite multiple Lyapunov functions;Long L. J.;IEEE Trans. Autom. Control,2019