loading page

Enhanced sampled-data model predictive control via nonlinear lifting
  • +1
  • Nuthasith Gerdpratoom,
  • Fumiya Matsuzaki,
  • Yutaka Yamamoto,
  • Kaoru Yamamoto
Nuthasith Gerdpratoom
Kyushu Daigaku Daigakuin System Joho Kagakufu
Author Profile
Fumiya Matsuzaki
Kyushu Daigaku
Author Profile
Yutaka Yamamoto
Kyoto Daigaku Daigakuin Johogaku Kenkyuka
Author Profile
Kaoru Yamamoto
Kyushu Daigaku Daigakuin System Joho Kagakufu

Corresponding Author:yamamoto.kaoru.481@m.kyushu-u.ac.jp

Author Profile

Abstract

This paper introduces a novel nonlinear model predictive control (NMPC) framework that incorporates a lifting technique to enhance control performance for nonlinear systems. While the lifting technique has been widely employed in linear systems to capture intersample behaviour, their application to nonlinear systems remains unexplored. We address this gap by formulating an NMPC scheme that combines fast-sample fast-hold (FSFH) approximations and numerical methods to approximate system dynamics and cost functions. The proposed approach is validated through two case studies: the Van der Pol oscillator and the inverted pendulum on a cart. Simulation results demonstrate that the lifted NMPC outperforms conventional NMPC in terms of reduced settling time and improved control accuracy. These findings underscore the potential of the lifting-based NMPC for efficient control of nonlinear systems, offering a practical solution for real-time applications.
08 Jan 2025Submitted to International Journal of Robust and Nonlinear Control
10 Jan 2025Submission Checks Completed
10 Jan 2025Assigned to Editor
10 Jan 2025Review(s) Completed, Editorial Evaluation Pending
18 Jan 2025Reviewer(s) Assigned