Periodic H 2 Synthesis for Spacecraft Attitude Determination and Control with a Vector Magnetometer and Magnetorquers

Periodic H<inf>2</inf> synthesis for spacecraft attitude control with magnetorquers and reaction wheels

“…As expected, comparing with [21] where magnetorquers solely are considered, adding reaction wheels improves significantly the performance of the control law. Moreover, Fig.…”

“…The best achievable result is provided in [8] (based on Theorem 1 in [7]) which is similar to the design theorem established in [21].…”

“…Unlike in [21], uncertainities are explicitly taken into acccount in the design procedure. Indeed, using additional slack variables and periodic parameter-dependent Lyapunov functions, an extended sufficient condition of robust H 2 stabilization is proposed and reminded here:…”

“…Furthermore, derivation of discrete-time model is very briefly documented, see e.g. [17] and [21]. Therefore, this paper contributes to the modelling effort by proposing a unifying model including, on the first hand, different choices of pointing, inertial or geocentric, traditionally associated with star and Earth observation missions, and, on the other hand, different choices of actuation, magnetorquers and/or reaction wheels.…”

“…As in [21], the obtained control law aims to minimize an H 2 criterion. Here, closed loop performance is improved by adding reaction wheels whereas in [21], magnetorquers solely are considered. Moreover, the paper initiates a more ambitious work which aims at dealing with uncertainities by designing a robust periodic control law.…”