Solving the nonlinear feedback optimal control problem of satellite formation

  • Ashraf H. Owis


In this paper we present a novel method of  solving the nonlinear feedback optimal control of the satellite formation. To get the feedback law, the method of the solution is presented using a new closed loop feedback control algorithm for nonlinear system via dividing the time interval to a number of  time steps and transforming the original nonlinear system to a quasi-linear system of state dependent coefficients. The technique is based on Linear Quadratic Regulator, (LQR) with fixed terminal state. We solve the nonlinear feedback optimal control of the relative motion of satellite formation using the Approximating Sequence Riccati Equation, (ASRE) method. The  accuracy and efficiency of the control technique is verified through numerical simulation dedicated to the problem of the relative motion formation flying.