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.