Satellite Formation Flying Control With Actuator Saturation

Aerospace science is a measure of a country’s comprehensive national strength,so satellite formation technology has been attracted attention by many countries recently.Satellite belonging to a physical device,and it can only provide limited control performance, namely, it can occur actuator saturation.If the system is operating in the saturation region, then it may lead to instability of the closedloop system.Thus,this paper is to solve the problem of satellite formation flying control with actuator saturation.Firstly,according to kinematic knowledge,we can build a mathematical model.We ignore various perturbation which effects on satellite formation system.Since the distance between the reference satellite and the surround satellite is far less than the distance between the reference satellite and the earth, we conduct a linear process, finally the equation is called C-W equation.The advantage of this model is that its form is very simple, thus, we can design the controller very easily.In order to make a circular trajectory on a two-dimensional plane without input conditions,the satellite initial state need to meet a theory.After that,we certificate the theory in detail.Finally,we make a Matlab simulation,and results show that only under the given conditions can the satellite orbit is a circular trajectory.Secondly,the problem of satellite formation flying control with actuator saturation is a leader-following consensus problem.The leader and followers in order to reache the semi-global consistent state,we design a state feedback controller.However, it is very difficult to design a controller for multi-agent systems directly,so the first problem is problem transformation.Thus,by choosing new state variables,we can transform the consistency problem into stabilization problem.Thus,we can facilitately design semiglobal state feedback control law.The core idea of designing controller is low-gain feedback,finally forcing satellite formation system with actuator saturation to work in the linear region.By this method,system stability can can be guaranted.Finally,we give a lot of simulation.The simulation results show that the controller enables the satellite formation system with actuator saturation reaching consensus.The simulation results also show that a parameter and the convergence rate of the system are positively correlated,namely dynamical performance is stronger.