Valiollah Ghaffari

Including variables’ limitations, optimal open-loop guidance is discussed in a guidance equation. To this purpose, the model of a planar guidance system is considered by assuming constant velocities for the vehicle and the target. Concerning lateral acceleration as the input, the governed equations of the problem are determined. The admissible range of the variables is specified in the problem formulation. Then the cost function is selected appropriately. The lateral acceleration is optimally calculated via optimizing such a cost function. To reflect the effectiveness of the guidance idea, the proposed approach has been evaluated in several scenarios. Also, the lateral acceleration has been optimally computed through an optimizer. The results are first compared with the proportional guidance and the performance of the technique is shown. Then uncertainty, time-delay, and disturbance are included in the model and the simulation is repeated to study the robustness. In numerical simulations, it is seen that the optimal guidance law, which is developed for the nominal system, is robust concerning uncertainties. The digital realization of the guidance law and the effect of sampling are studied at last. It has been shown that the implementation of the proposed approach would be robust concerning the sampling period.