Trajectory Control of Mars Probe Based on Fuzzy Lyapunov Function

The trajectory control of the entry phase of the Mars probe plays a more and more important role in the whole pinpoint landing. Based on this background, this paper employs the sector nonlinearity to construct the longitudinal fuzzy dynamic model of the Mars probe’s entry phase. Different from the traditional quadratic Lyapunov function, the stability condition of the fuzzy parameter varying system based on the fuzzy Lyapunov function is proposed to reduce the conservatism of the system in this paper. Furthermore, the corresponding gain-scheduling controllers are designed to ensure asymptotic stability of the system. Numerical simulations are provided to intuitively demonstrate the effectiveness of the results.