Optimal Proportional Navigation in Three-Dimensional Space Using Model Predictive Control Approach

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Sheikhbahaei Reza; Khankalantary Saeed

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Journal Paper

Paper Information

Journal: Journal of Space Science and Technology Year:2021 | Volume:14 | Issue:4 (پیاپی 49) Page(s): 51-59

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Information Journal Paper

Title

Optimal Proportional Navigation in Three-Dimensional Space Using Model Predictive Control Approach

Author(s)

Sheikhbahaei Reza | Khankalantary Saeed | Issue Writer Certificate

Keywords

Model predictive Control

Proportional navigation

Three dimensional

Explicit Optimal Guidance Law

Abstract

In this study, on the basis of Proportional navigation strategy, design of Explicit Optimal Guidance Law for missiles tracking maneuvering targets in three-dimensional space using Model predictive Control is addressed. The Model predictive Control employs a model to predict the future process behavior and calculates an optimal control input at each time step through the optimization of an objective function. Generalized Model predictive Control approach, employed in this study, solves the optimization problem offline to obtain the closed form optimal control law. In this paper, firstly, the equations describing the missile-target relative motion kinematics are formulated. Then, the optimal control law, as an explicit function of the state vector is obtained. The evaluation of the proposed scheme is studied by the comparison of the simulation results with the augmented Proportional navigation system. Simulation studies, in three different scenarios, demonstrates appropriate performance for the proposed guidance system specially against maneuvering targets.

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