Abstract

†Different methods of controlling satellite formations using traditional and High Order Sliding Mode Control (SMC/HOSM) are studied. HOSM-based controllers, as well as continuous SMC based on disturbance observer, produce a continuous control signal that is not an approximation but an exact solution, which mitigates the chattering problem that can arise with discontinuous SMC. The tracking results are compared to those that use a discontinuous sliding mode controller with a dead zone approximation model of the thruster dynamics. The controllers are designed and compared using trajectories generated via the linearized equations of relative motion under two body dynamics (better known as Hill’s equations). For the continuous sliding mode control methods, a pulse width modulation technique is applied to the control signal to control the duty cycle of the simulated satellite thrusters. Preliminary results indicate that the continuous SMC/HOSM are effective at reducing the trajectory errors to near zero in the face of unknown but bounded disturbances.

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