Quantum mechanics

Proportional navigation

Interception

Control (management)

Guidance system

Engineering

Ecology

Aerospace engineering

Pure mathematics

Biology

Field (mathematics)

Stability (learning theory)

Constraint (computer-aided design)

Set (abstract data type)

Computer science

Classical mechanics

Mechanical engineering

Missile guidance

Physics

Trajectory

Mathematics

Astronomy

Political science

Artificial intelligence

Missile

Invertible matrix

Field of view

Programming language

Term (time)

Control theory (sociology)

Machine learning

Journal of Guidance Control and Dynamics

In this paper, a distributed three-dimensional (3D) nonsingular cooperative guidance law is designed for multiple missiles with different seeker’s field-of-view (FOV) constraints to achieve salvo attack against a stationary target. The guidance law is derived from an extended biased proportional navigation guidance (PNG). The PNG is augmented by a cooperative guidance term to ensure that times-to-go of the missile group reach consensus in a fixed time before interception. Two auxiliary functions are included into the biased guidance term to guarantee nonsingularity of the guidance law and meet the FOV constraints. The proposed design does not require guidance law switching that is used in some existing biased or multistage guidance designs, which allows for a smooth guidance command. A feasible impact time set is given for the cooperative mission when applying the proposed guidance law. The nonsingularity, FOV constraint satisfaction, and closed-loop stability of the proposed guidance law are theoretically analyzed and proved. Moreover, the criteria for selecting all guidance parameters are provided to facilitate the guidance design. Finally, numerical simulations with comparative studies are conducted to verify the effectiveness of the proposed guidance law and demonstrate the advantages over existing cooperative guidance laws.

Three-Dimensional Nonsingular Cooperative Guidance Law with Different Field-of-View Constraints