Mixed H-two/H-infinity control based on game theory and its application to the vehicle active suspension system
基于博弈论的H2/H∞混合控制及其在汽车主动悬架中的应用

The H-two/H-infinity control is formulated as a non-zero game model with incomplete information.A 2×2 non-zero game model is constructed,and two channels,robust performance channel and dynamical performance channel,are chosen as players.H-two and H-infinity controls are pure strategies.An algorithm for mixed H-two/H-infinity control,based on the Nash bargaining theory,is derived to achieve the Nash equilibrium point.The algorithm is applied to a vehicle active suspension system,and H-two/H-infinity output feedback controller,based on the Nash equilibrium point,is then constructed.Computer simulations with MATLAB demonstrate that the active suspension system achieves a good balance between robust stability and optimally dynamical performance.