Journal of Technology in Aerospace Engineering

Journal of Technology in Aerospace Engineering

Guidance Algorithm via Numerical Optimization in a Constrained Planar Guidance Problem

Document Type : Research Article

Authors
Faculty of Intelligent Systems Engineering and Data Science, Persian Gulf University, Bushehr, Iran.
Abstract
This study presents an optimal open-loop guidance strategy for a constrained planar guidance problem using a numerical optimization approach. A simplified model is adopted in which both the target and vehicle maintain constant velocities, and lateral acceleration is treated as the control input. The governing equations are derived accordingly, and variable constraints are explicitly included in the problem formulation. A suitable cost function is designed, and lateral acceleration is computed by optimizing this function under the defined constraints. The proposed method is evaluated through several simulation scenarios to demonstrate its performance. Comparative analysis with proportional navigation highlights the enhanced accuracy and efficiency of the optimized guidance law. Robustness is further assessed by introducing uncertainties, time delays, and external disturbances into the model. Simulation results confirm that the guidance algorithm, designed for the nominal case, maintains reliable performance in the presence of such perturbations. Finally, digital implementation and sampling effects are investigated, showing that the proposed approach remains stable and effective across a range of sampling intervals.
Keywords

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  • Receive Date 12 September 2024
  • Revise Date 11 October 2024
  • Accept Date 11 November 2024
  • First Publish Date 16 November 2024