Event-triggered control of discrete-time 2-D switched Fornasini-Marchesini systems

摘要

In this paper, the stability analysis and control problems for the discrete-time two-dimensional (2-D) switched systems are studied via an event-triggered scheme. The addressed 2-D system is represented by the well-known Fornasini-Marchesini (FM) local state-space model and is assumed to be operating at several modes under a switching signal. First of all, the event-triggered strategy is introduced for the 2-D switched system in order to utilize data effectively in the capacity-limited communication network. Then by constructing the index function and establishing multiple recursive formulas, the new conditions are given such that the resultant closed-loop 2-D system is asymptotically stable under the arbitrary switching signal and exponentially stable under the restricted switching signal. Particularly, the extended average dwell time (EADT) technique is employed in the case of the restricted switching signal. Based on the stability analysis results, the event-triggered state feedback controller is further developed to stabilize the corresponding 2-D switched system. Finally, the effectiveness of the proposed controller design method is demonstrated by examples. (C) 2018 European Control Association. Published by Elsevier Ltd. All rights reserved.