TY - JOUR
T1 - Input-to-state stabilization of nonlinear discrete-time systems with event-triggered controllers
AU - Zhang, Pengpeng
AU - Liu, Tengfei
AU - Jiang, Zhong Ping
N1 - Funding Information:
This work was supported in part by NSFC grants 61522305, 61633007, 61374042 and 61533007, in part by NSF grant ECCS-1501044, and in part by State Key Laboratory of Intelligent Control and Decision of Complex Systems at BIT. The authors would like to thank the AE and the anonymous reviewers for their helpful comments.
Publisher Copyright:
© 2017 Elsevier B.V.
PY - 2017/5/1
Y1 - 2017/5/1
N2 - This paper studies an event-triggered control problem of nonlinear discrete-time systems in the presence of external disturbances. In particular, we focus on the practically interesting situation where the controller update at step k is determined by the feedback information x(k−1) measured at step k−1. The presence of external disturbance makes it hard to predict the magnitude of x(k) based on x(k−1) and then to design a desired event-triggering data transmission mechanism. In this paper, refined tools of input-to-state stability (ISS) and the nonlinear small-gain theorem are developed to estimate the influence of external disturbances, before an ISS-induced design is proposed to solve the problem. The proposed solution leads to a new event-triggering data transmission mechanism, which drastically differs from the existing event-triggered control results.
AB - This paper studies an event-triggered control problem of nonlinear discrete-time systems in the presence of external disturbances. In particular, we focus on the practically interesting situation where the controller update at step k is determined by the feedback information x(k−1) measured at step k−1. The presence of external disturbance makes it hard to predict the magnitude of x(k) based on x(k−1) and then to design a desired event-triggering data transmission mechanism. In this paper, refined tools of input-to-state stability (ISS) and the nonlinear small-gain theorem are developed to estimate the influence of external disturbances, before an ISS-induced design is proposed to solve the problem. The proposed solution leads to a new event-triggering data transmission mechanism, which drastically differs from the existing event-triggered control results.
KW - Event-triggered control
KW - Input-to-state stabilization
KW - Nonlinear discrete-time systems
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U2 - 10.1016/j.sysconle.2017.02.012
DO - 10.1016/j.sysconle.2017.02.012
M3 - Article
AN - SCOPUS:85016021022
SN - 0167-6911
VL - 103
SP - 16
EP - 22
JO - Systems and Control Letters
JF - Systems and Control Letters
ER -