Event-triggered control for discrete-time linear systems subject to bounded disturbance

• Published in: International journal of robust and nonlinear control Vol. 26; no. 9; pp. 1902 - 1918
• Main Authors: Wu, Wei, Reimann, Sven, Görges, Daniel, Liu, Steven
• Format: Journal Article
• Language: English
• Published: Bognor Regis Blackwell Publishing Ltd 01.06.2016; Wiley Subscription Services, Inc
• Subjects: Control systems; Controllers; Design engineering; disturbance rejection; Disturbances; event-triggered control; Feedback control; Gain; Invariants; Linear systems; LMI; Lyapunov function; optimization; sampled data systems
• ISSN: 1049-8923; 1099-1239
• DOI: 10.1002/rnc.3388

Summary This paper considers event‐triggering controller design for directly observable discrete‐time linear systems subject to bounded disturbances. The main control objective is diminishing the influence aroused by the disturbances despite a reduction of the communication. Criteria are given to design feedback controllers in order to guarantee that systems are uniformly ultimately bounded in an ellipsoidal‐positive invariant set, which is used as an estimate of control performance for disturbance rejection. An optimization for minimizing the ellipsoidal‐positive invariant set is achieved by synthesizing the feedback control gain and the given event‐triggering conditions in LMIs. The effectiveness and applicability of the controller are illustrated by simulations and experimental implementations. Copyright © 2015 John Wiley & Sons, Ltd.