Input-to-state stability of perturbed nonlinear systems with event-triggered receding horizon control scheme

Mengzhi Wang, Jian Sun*, Jie Chen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

44 Citations (Scopus)

Abstract

In this paper, input-to-state stability (ISS) properties of perturbed systems with event-triggered receding horizon control (RHC) schemes are studied. Two event-triggered control schemes, which are the event-triggered quasi-infinite RHC (EQRHC) and the event-triggered dual-mode RHC (EDRHC) strategies, respectively, are considered. In the EQRHC scheme, an optimal control problem (OCP) should be considered at triggering time and the event is triggered if the error between the actual system state and the optimal system state violating a threshold. While in the EDRHC strategy, an OCP is only solved outside the terminal region and a local control law will be used inside the terminal region. The corresponding event condition is redesigned based on if the system state enters the terminal region or not. The event-triggering condition outside the terminal region is the same with that of the EQRHC scheme and the event-triggering condition inside the terminal region is proposed based on the difference between the actual system state and the predictive system state. Sufficient conditions of feasibility are proposed and ISS properties of both event-triggered control schemes are studied, respectively. At last, numerical simulations show the validity of the proposed methods.

Original languageEnglish
Article number8506607
Pages (from-to)6393-6403
Number of pages11
JournalIEEE Transactions on Industrial Electronics
Volume66
Issue number8
DOIs
Publication statusPublished - Aug 2019

Keywords

  • Disturbance
  • event-triggered control
  • input-to-state stability (ISS)
  • receding horizon control (RHC)

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