Application of LQR Algorithm with Pole Placement in TEA Control for Space Station

While designing the Torque Equilibrium Attitude (TEA) controller, a plant model for space station control, including attitude dynamics and momentum management, is concatenated with rejection filters to counteract the attitude undulation due to specified frequency disturbances. A modified Least Quadratic Regulator (LQR) algorithm with pole placement is adopted for the linearized motion model. This approach places close-looped poles in a margined fan-like region with its span angle defined by a specified integer and margin distance to the imaginary axis by a positive scalar. One pair of algebra Riccati equations can be solved with two-stage iterations, and the state weight matrix as well as the feedback gain matrix is calculated during the procedure. Desirable dynamic and stable performance can be obtained when this approach is tried upon this coupled model.