A fuzzy adaptive H2/H∞ control is proposed for a maneuvering reentry vehicle(MRV). The controller consists
of two parts: An adaptive fuzzy controller which is constructed to approximate the uncertain nonlinear function, and a robust
mixed H2/H∞ controller. Based on the mixed H2/H∞ control and the non zero sum game theory, a robust H2/H∞
controller is designed to attenuate approximation errors of the fuzzy system and external disturbance, thus the controller
performance is improved, while the controller possesses a optimal H2 performance index and meets the H∞ performance
index. Simulation studies demonstrate the effectiveness of the proposed controller.