Underactuated spacecraft chaotic attitude control based on exponential reaching law

The control problem of underactuated spacecraft chaotic attitude motion is investigated based on exponential reaching law in this paper. First, the underactuated spacecraft chaotic attitude system is written in nonlinear equation form with two controls. Once the trajectory planning of angular acceleration is preset, the dynamics equation of angular velocity error can be obtained. Then, the sliding mode controller based on exponential reaching law and linear matrix inequality is designed, which consists of equivalent control term and switching control term. Finally, simulations are performed to test the performance of the proposed controller.