Trajectory control of Mars probe based on fuzzy variable parameter theory

Abstract

The longitudinal dynamics model of the Mars probe's entry phase is a time-varying and nonlinear model. The study of time-varying nonlinear systems is complex. When the system is processed with a T–S fuzzy system, there is a limitation that the number of fuzzy rules increases dramatically. In this paper, the dynamic model of the Mars probe in the entry phase is treated with a fuzzy variable parameter system to overcome this shortcoming. By the process of local linearisation, a fuzzy variable parameter model of the Mars probe is established according to the time-varying characteristics of atmospheric density. Next, the full-state feedback and dynamic output feedback gain-scheduling controllers are designed based on the quadratic Lyapunov stability theory. Finally, Simulink simulation verifies that the fuzzy variable parameter system of the Mars probe's entry phase can be asymptotically stabilised by the designed controllers.