Input-to-state stabilization of nonlinear discrete-time systems with event-triggered control

Pengpeng Zhang, Tengfei Liu, Zhong Ping Jiang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper studies the event-triggered control problem of nonlinear discrete-time systems in the presence of external disturbances. In particular, we focus on the case in which whether or not the system state is sampled at step k is determined by the feedback information at step k - 1. This problem is motivated by practical applications, and the proposed solution drastically differs from the existing event-based control methods. One of the fundamental difficulties is caused by the existence of external disturbances in predicting x(k) by using x(k - 1). 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, and an input-to-state stabilizing design is proposed to solve the event-triggered control problem.

Original languageEnglish (US)
Title of host publicationProceedings of the 35th Chinese Control Conference, CCC 2016
EditorsJie Chen, Qianchuan Zhao, Jie Chen
PublisherIEEE Computer Society
Pages885-890
Number of pages6
ISBN (Electronic)9789881563910
DOIs
StatePublished - Aug 26 2016
Event35th Chinese Control Conference, CCC 2016 - Chengdu, China
Duration: Jul 27 2016Jul 29 2016

Publication series

NameChinese Control Conference, CCC
Volume2016-August
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Other

Other35th Chinese Control Conference, CCC 2016
CountryChina
CityChengdu
Period7/27/167/29/16

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Keywords

  • Event-Triggered Control
  • Input-to-State Stabilization
  • Nonlinear Discrete-Time Systems

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Systems Engineering
  • Applied Mathematics
  • Modeling and Simulation

Cite this

Zhang, P., Liu, T., & Jiang, Z. P. (2016). Input-to-state stabilization of nonlinear discrete-time systems with event-triggered control. In J. Chen, Q. Zhao, & J. Chen (Eds.), Proceedings of the 35th Chinese Control Conference, CCC 2016 (pp. 885-890). [7553198] (Chinese Control Conference, CCC; Vol. 2016-August). IEEE Computer Society. https://doi.org/10.1109/ChiCC.2016.7553198