Guidance Stabilization of Satellites Using the Geomagnetic Field

In the last years the small satellites have played an important role in the technological development. The attractive short period of design and low cost of them and the capacity to solve problems that are usually considered as problems to big and expensive spacecrafts lead us to study the control problem of these satellites. Active three-axis magnetic attitude stabilization of a low Earth orbit satellite is considered in this work. The control is created by interaction between the magnetic moment generated by magnetorquersmounted on the satellite body and the geomagnetic field. This problem is quite complex and difficult tosolve. To overcome this difficulty guidance control is considered, where we use ε-strategies introducedby Pontryagin in the frame of differential games theory. Qualitative analysis and results of numericalsimulation are presented