<p>Traditional chassis cooperative controllers for the four-wheel-independent-drive electric vehicle (4WIDEV) struggle to adequately consider the stability dynamics demand. To this end, this paper proposes an adaptive chassis cooperative controller based on the phase space stability quantitative assessment method. Firstly, the three-dimensional convex hull approach is applied to map stability constraints into an integrated stable region, and a geometric distance quantitative function is established to derive the stability index. Additionally, reference planes based on the ideal lateral speed and yaw rate intersect with the integrated stable region to generate the ideal roll angle. Secondly, the longitudinal speed assistance parameter and tire cornering stiffness correction coefficients are integrated to construct the polytopic linear parameter varying (LPV) model. The chassis cooperative controller is developed using the online optimization solved robust model predictive control (RMPC) method. By employing the Schur complement lemma, multiple linear matrix inequality (LMI) constraints are derived to ensure robust stability and recursive feasibility. Finally, the vehicle dynamics multi-objective demand matching mechanism is formulated, corresponding to a piecewise weight adaptive adjustment function designed to dynamically optimize the chassis cooperative controller. Simulation results demonstrate that the proposed control strategy can effectively ensure the lateral stability and roll comfort of the 4WIDEV, while also exhibiting strong robustness against variations in vehicle loading conditions.</p>