Adaptive back-stepping LPV control of satellite attitude maneuvers with sum of squares

The main contribution of this paper is that, to improve the performance properties of satellite attitude manoeuvre controlled by nonlinear stabilizing control law derived from standard adaptive back-stepping method, a hybrid control approach is developed to guarantee the stability of system in global sense while improving control performance of satellite attitude manoeuvre problem in a local region. This will be achieved by firstly using the adaptive back-stepping controller until the state trajectories entering a small region around the stability origin, Within the region system will be treated as an LPV system, then use LPV control method to improve the performance properties. a new computationally efficient LPV synthesis method using SOS was proposed, this method change the search for positive definite stability certificate functions to SOS certificate functions of appropriate polynomials. The effectiveness of the proposed control technique is shown in simulations.