PCE-based uncertain PWA modeling and control for DMHP mode transition system

The parameters of powertrain systems exhibit random uncertainties due to manufacturing variations, component friction and wear over time. These uncertainties, coupled with the highly nonlinear dynamics of hybrid powertrains, can lead to significant changes in system dynamics and adversely affect the smoothness and quality of mode transition process (MTP). This paper focuses on investigating the impact of parameter uncertainties on MTP performance in a dual-motor hybrid powertrain (DMHP) and proposes a corresponding coordinated control strategy. Firstly, local and global sensitivity analyses are conducted to identify the key powertrain parameters that significantly affect mode transition performance. Then, considering the uncertainties of key parameters, polynomial chaos expansion (PCE) method is adopted and the uncertain piecewise-affine (PWA) model of MTP can be transformed into a deterministic system. Finally, a PWA-PCE H₂ coordinated control strategy is designed to achieve robust smooth mode transitions. Simulation and hardware-in-the-loop (HiL) test results demonstrate that the proposed control strategy significantly enhances the capability of system to handle parameter uncertainties, thereby maintaining a high-quality MTP under uncertain conditions.