Abstract
This paper investigates a leader-following formation control problem with translational and rotational maneuvers for a group of missiles in 3D space. Benefit from the displacements defined in neighbors' relative coordinate frames in the distributed control law, the whole formation is able to track the leader's trajectory with translational movement and rotation after the desired formation shape is formed. By incorporating command filters into the backstepping-based control scheme, the flight state constraints and overload saturations can be satisfied. It is shown that the proposed control algorithm ensures cooperatively semi-globally uniformly ultimate boundedness of the formation tracking errors irrespective of unknown bounded disturbances and the tracking errors can be further decreased by properly choosing the control parameters. Finally, two numerical simulation examples are provided to validate the effectiveness of the proposed control algorithm.
Highlights
With the rapid development of anti-missile systems over past few decades, the single missile combat mode can barely accomplish the missions in both attack and defense side
STABILITY ANALYSIS Based on the analysis above, we will give the following theorem to state that the proposed formation control algorithm can guarantee the stability of the formation flight control system
Under the condition of unknown bounded disturbances and aerodynamic constraints, each follower’s position and velocity will achieve their desired values with small bounded residuals which can be reduced by choosing proper control parameters
Summary
With the rapid development of anti-missile systems over past few decades, the single missile combat mode can barely accomplish the missions in both attack and defense side. In [15], some parameter pairs, acting as the role of mismatches in [16], were introduced into a gradient-based formation control law to manipulate the translation and rotation of formation This approach requires agents to be non-coplanar in 3D space, which is not applicable to the tasks when missile formation flies at the same altitude. In comparison with the results that focus on realizing translational and rotational motions for a desired non-coplanar formation [15] or in the lateral plane [10], our proposed control algorithm is valid for any desired formation in 3D space. This largely broadens the feasibility of the presented results in this paper.
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