Robust Model Predictive Terminal Guidance Law Using Laguerre Functions

Document Type : Research Article

Authors

1 Faculty of Electrical and Computer Engineering, Malek Ashtar University of Technology

2 Faculty of Electrical & Computer Engineering, Malek Ashtar University of Technology, Iran

Abstract

This paper presents a new approach for guiding a pursuer to intercept a maneuvering target in two dimensions. This robust nonlinear approach is based on the combination of predictive control and sliding mode control. The guidance strategy uses a model predictive control method based on Laguerre function to calculate the pursuer’s acceleration command independently of the target’s acceleration. To handle unknown target maneuvers, a sliding mode term is added to adjust to the target’s acceleration commands, making the algorithm more robust against uncertainties and improving its ability to pursue maneuvering targets effectively. The proposed guidance algorithm was extensively tested through simulations with various target maneuvers, including non-maneuvering, step maneuvers, sinusoidal maneuvers, and stochastic maneuvers. A detailed comparison was made with traditional methods like proportional navigation, ant colony optimization-based predictive control, proportional guidance with a bias switch, and a square programming approach based on differential game theory. Additionally, to observe the effect of the design parameters in the proposed guidance law, a sensitivity analysis is done on the convergence of the pursuer acceleration and the line of sight rate. Finally, the influence of disturbances was investigated by adjusting the target acceleration parameter to 10%, 20%, 30%, 50%, 75%, and 100% beyond the maximum value.

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