Event-Triggered control of nonlinear systems: A Small-Gain approach

Tengfei Liu, Zhong Ping Jiang

Research output: Chapter in Book/Report/Conference proceedingChapter


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 threefold. 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 publicationSystems Theory
Subtitle of host publicationPerspectives, Applications and Developments
PublisherNova Science Publishers, Inc.
Number of pages28
ISBN (Electronic)9781631178764
ISBN (Print)9781631178665
StatePublished - Apr 1 2014


  • Full-State feedback
  • Input-To-state Stability
  • Nonlinear Small-Gain theorem
  • Nonlinear systems
  • Partial-State feedback
  • Uncertainty
  • Vent-Triggered control

ASJC Scopus subject areas

  • General Arts and Humanities


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