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

Pengpeng Zhang; Tengfei Liu; Zhong Ping Jiang

doi:10.1109/ChiCC.2016.7553198

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

Pengpeng Zhang, Tengfei Liu, Zhong Ping Jiang

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	Proceedings of the 35th Chinese Control Conference, CCC 2016
Editors	Jie Chen, Qianchuan Zhao, Jie Chen
Publisher	IEEE Computer Society
Pages	885-890
Number of pages	6
ISBN (Electronic)	9789881563910
DOIs	https://doi.org/10.1109/ChiCC.2016.7553198
State	Published - Aug 26 2016
Event	35th Chinese Control Conference, CCC 2016 - Chengdu, China Duration: Jul 27 2016 → Jul 29 2016

Publication series

Name	Chinese Control Conference, CCC
Volume	2016-August
ISSN (Print)	1934-1768
ISSN (Electronic)	2161-2927

Other

Other	35th Chinese Control Conference, CCC 2016
Country/Territory	China
City	Chengdu
Period	7/27/16 → 7/29/16

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

Access to Document

10.1109/ChiCC.2016.7553198

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). Article 7553198 (Chinese Control Conference, CCC; Vol. 2016-August). IEEE Computer Society. https://doi.org/10.1109/ChiCC.2016.7553198

Input-to-state stabilization of nonlinear discrete-time systems with event-triggered control. / Zhang, Pengpeng; Liu, Tengfei; Jiang, Zhong Ping.
Proceedings of the 35th Chinese Control Conference, CCC 2016. ed. / Jie Chen; Qianchuan Zhao; Jie Chen. IEEE Computer Society, 2016. p. 885-890 7553198 (Chinese Control Conference, CCC; Vol. 2016-August).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Zhang, P, Liu, T & Jiang, ZP 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., 7553198, Chinese Control Conference, CCC, vol. 2016-August, IEEE Computer Society, pp. 885-890, 35th Chinese Control Conference, CCC 2016, Chengdu, China, 7/27/16. https://doi.org/10.1109/ChiCC.2016.7553198

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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.",

keywords = "Event-Triggered Control, Input-to-State Stabilization, Nonlinear Discrete-Time Systems",

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N2 - 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.

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

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Keywords

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