Low-Complexity Non-Smooth Funnel Control: A Transition Function-Based Approach for Nonlinear MIMO Systems

Chao Zhang*, Xue Mei Ren*, Jing Na, Dong Dong Zheng

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper presents a non-smooth funnel control approach with low complexity for nonlinear MIMO systems. The proposed technique incorporates a transition function, which eliminates the dependence on initial conditions and allows for the flexible design of the funnel boundary. The controller leverages a predefined-time convergence funnel region to ensure that the tracking error converges to the steady-state funnel region within a user-specified time. Additionally, a non-smooth funnel transformation is applied, substantially minimizing the tracking error to a more compact steady-state funnel region. Furthermore, the controller's simple structure ensures computational efficiency and ease of implementation. The stability of the closed-loop system is proven through Lyapunov theory, and the proposed approach's effectiveness is demonstrated through simulations on a second-order MIMO system and experimental tests with a SCARA robot.

Original languageEnglish
Title of host publicationProceedings of the 43rd Chinese Control Conference, CCC 2024
EditorsJing Na, Jian Sun
PublisherIEEE Computer Society
Pages646-651
Number of pages6
ISBN (Electronic)9789887581581
DOIs
Publication statusPublished - 2024
Event43rd Chinese Control Conference, CCC 2024 - Kunming, China
Duration: 28 Jul 202431 Jul 2024

Publication series

NameChinese Control Conference, CCC
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Conference43rd Chinese Control Conference, CCC 2024
Country/TerritoryChina
CityKunming
Period28/07/2431/07/24

Keywords

  • Funnel control
  • initial condition
  • nonlinear MIMO systems
  • prescribed performance

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