Novel Nussbaum Design for Nonlinear Systems With Unknown Switching Control Directions

Guilong Liu, Yongliang Yang, Xiaowei Zhao, Choon Ki Ahn

Research output: Contribution to journalArticlepeer-review


This brief investigates the stability of switched nonlinear systems with input saturation and multiple unknown switching control directions using a novel Nussbaum design. The conventional Nussbaum design cannot be applied here directly because the multiple Nussbaum-type functions may cancel each other. To address the challenges posed by the unknown control directions, a novel variants of the Nussbaum-type function tailored to mitigate this limitation is introduced herein. The proposed control approach accounts for the input saturation constraints, while the system stability is verified using the average dwell time method. The approach is numerically validated on a jerk circuit system, demonstrating the effectiveness of the proposed design.

Original languageEnglish
Pages (from-to)2244-2248
Number of pages5
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
Issue number4
Publication statusPublished - 2024 Apr

Bibliographical note

Publisher Copyright:
© 2023 IEEE.


  • Average dwell time
  • Nussbaum-type function
  • input saturation
  • multiple unknown control directions

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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