Guidance Law based on LMI-based Robust Model Predictive Control to Obtain Optimal LOS for Flying Vehicle

In this paper, a new guidance law based on Robust Model Predictive Control (RMPC) is proposed for intercepting flying maneuvering targets. The presented guidance law is calculated by nonlinear kinematics. The design is based on a state feedback control law in which Linear Matrix Inequalities (LMI) has been used in order to optimize a cost function, subject to constraint on the control input. This Robust MPC method is utilized to obtain optimal Line Of Sight (LOS) angle tracking performance for maneuvering flying vehicle. It is shown that the control signal obtained from the problem stabilizes the nonlinear plant. Numerical simulations are implemented to the nonlinear plant and the effectiveness of the guidance law has been demonstrated.