An Approach to Evaluate the Region of Attraction of Satellites Controlled by SDRE

The control of a satellite can be designed with success by linear theory if the has slow angular motions. However, for fast maneuvers, linearized models are not able to represent effects nonlinear terms. One candidate technique design satellite’s under maneuvers is State- Dependent Riccati Equation (SDRE). SDRE provides an effective algorithm synthesizing feedback allowing nonlinearities. Nonetheless, much criticism been leveled against because it does provide assurance global asymptotic stability. Additionally, there situations in which stability cannot achieved (e.g., systems multiple equilibrium points). Therefore, especially aerospace, estimating region attraction (ROA) fundamental. Brazilian National Institute Space Research (INPE, Portuguese) was demanded government build remote-sensing satellites, such as Amazonia-1 mission. In missions, must stabilized three axes so that optical payload point desired target. this paper, we share approach evaluate ROAs controlled LQR (the counterpart SDRE) and SDRE. initial results showed larger ROA than LQR.