A Stackelberg game-based cooperative control strategy is proposed for enhancing the lateral stability of a four-wheel independently driving electric vehicle (FWID-EV). An upper-lower double-layer hierarchical control structure is adopted for the design of a stability control strategy. The leader-follower-based Stackelberg game theory (SGT) is introduced to model the interaction between two unequal active chassis control subsystems in the upper layer. In this model, the direct yaw-moment control (DYC) and the active four-wheel steering (AFWS) are treated as the leader and the follower, respectively, based on their natural characteristics. Then, in order to guarantee the efficiency and convergence of the proposed control strategy, a sequential quadratic programming (SQP) algorithm is employed to solve the task allocation problem among the distributed actuators in the lower layer. Also, a double-mode adaptive weight (DMAW)-adjusting mechanism is designed, considering the negative effect of DYC. The results of cosimulation with CarSim and Matlab/Simulink demonstrate that the proposed control strategy can effectively improve the lateral stability by properly coordinating the actions of AFWS and DYC.Energies 2019, 12, 3339 2 of 21 approaches the adhesion limit [9], whereas DYC could play an effective role under these extreme conditions. This phenomenon reflects the variable control effects of AFS and DYC under changing vehicle states, and some research may not sufficiently consider the dynamic characteristics of the vehicle subsystems. Game theory is an effective method for dealing with the interaction of multiple agents, which provides a system control framework for this kind of cooperative control problem [10]. Since the AFS and DYC-based stability controller generally operate in an interactive manner as the vehicle travels ahead in a road tracking scenario, dynamic game theory should be applied.Dynamic game theory is an optimal approach based on the decision theory and the rules of dynamic game, as defined by Cruz [11] and Basar [12]. There exist three core principles in the dynamic game theory [13]: (1) Each player's attitude towards his own as well as others' interests. (2) Each player's strategy adopted for pursuing their goal. (3) Each player's knowledge received about the state of the system during the game process. Based on these principles, different kinds of game rules are formed, such as for a noncooperative game and a cooperative game. (Due to limited space, for more details about game theory we refer readers to [13] and [14].) Assume that each subsystem aims to achieve individual rationality and to maximize the vehicle stability in its own way. Thus, this work mainly focuses on noncooperative game theory.Noncooperative game theory has been widely studied to solve problems involving multiple individuals where their welfare is interactional [15]. It is an effective approach to address the problem of control authority allocation for multiple players [12]. Tamaddoni et al. [16,17] designed a vehicle lateral s...