$π$-MPPI: A Projection-based Model Predictive Path Integral Scheme for Smooth Optimal Control of Fixed-Wing Aerial Vehicles

Model Predictive Path Integral (MPPI) is a popular sampling-based Model Predictive Control (MPC) algorithm for nonlinear systems. It optimizes trajectories by sampling control sequences and averaging them. However, a key issue with MPPI is the non-smoothness of the optimal control sequence, leading to oscillations in systems like fixed-wing aerial vehicles (FWVs). Existing solutions use post-hoc smoothing, which fails to bound control derivatives. This paper introduces a new approach: we add a projection filter $\pi$ to minimally correct control samples, ensuring bounds on control magnitude and higher-order derivatives. The filtered samples are then averaged using MPPI, leading to our $\pi$-MPPI approach. We minimize computational overhead by using a neural accelerated custom optimizer for the projection filter. $\pi$-MPPI offers a simple way to achieve arbitrary smoothness in control sequences. While we focus on FWVs, this projection filter can be integrated into any MPPI pipeline. Applied to FWVs, $\pi$-MPPI is easier to tune than the baseline, resulting in smoother, more robust performance.

@article{andrejev2025_2504.10962,
  title={ $π$-MPPI: A Projection-based Model Predictive Path Integral Scheme for Smooth Optimal Control of Fixed-Wing Aerial Vehicles },
  author={ Edvin Martin Andrejev and Amith Manoharan and Karl-Eerik Unt and Arun Kumar Singh },
  journal={arXiv preprint arXiv:2504.10962},
  year={ 2025 }
}