Event-triggered control of nonlinear systems: A small-gain approach

Tengfei Liu, Zhong Ping Jiang

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

This chapter studies the event-triggered control problem for nonlinear systems with input-to-state stability (ISS) as the basic notion and the ISS small-gain theorem as a tool. The contribution of this book chapter is twofold. First, an ISS gain condition is proposed for event-triggered control of nonlinear uncertain systems. It is proved that infinitely fast sampling can be avoided with an appropriately designed event-triggering mechanism if the system is input-to-state stabilizable with measurement error as the external input and the resulted ISS gain is Lipschitz on compact sets. No assumption on the existence of known ISS-Lyapunov functions is made in the discussions. Moreover, the forward completeness problem with event-triggered control is studied systematically by ISS small-gain arguments. Self-triggered control designs for systems under external disturbance are also developed in the ISS-based framework. Second, this chapter introduces a new design method for input-to-state stabilization of nonlinear uncertain systems in the strict-feedback form. It is particularly shown that the ISS gain with the measurement error as the input can be designed to satisfy the proposed condition for event-triggered control.

Original languageEnglish (US)
Title of host publicationLecture Notes in Control and Information Sciences
PublisherSpringer Verlag
Pages53-97
Number of pages45
DOIs
StatePublished - Mar 1 2017

Publication series

NameLecture Notes in Control and Information Sciences
Volume473
ISSN (Print)0170-8643

ASJC Scopus subject areas

  • Library and Information Sciences

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  • Cite this

    Liu, T., & Jiang, Z. P. (2017). Event-triggered control of nonlinear systems: A small-gain approach. In Lecture Notes in Control and Information Sciences (pp. 53-97). (Lecture Notes in Control and Information Sciences; Vol. 473). Springer Verlag. https://doi.org/10.1007/978-3-319-51298-3_3