Modelling and Numerical Simulations of a Self-Guided Missile Stabilized by a Gyroscope
Journal Title: Problemy Mechatroniki. Uzbrojenie, lotnictwo, inżynieria bezpieczeństwa - Year 2014, Vol 5, Issue 3
Abstract
The paper presents the modelling of the dynamics of a self-guided missile steered usung a gyroscope. In such kinds of missiles, attacking the targets detected by them, the main element is a self-guiding head, which is operated by a steered gyroscope. A mathematical model was precluded using the Boltzmann-Hamel equations for mechanical systems with non-holonomic constraints. A relativy simple method for automatic control has been presented based on introducing the control laws and gyroscope into a general model of a flying object. These control laws have the form of kinematics relations between the real and preset flight parameters, respectively. The resulting control laws are considered as non-holonomic constraints of the missile motion ensuring that it executes the specified controlled manoeuvre. Kinematical relations combined with homing criteria represents tha coupling between the missile flight and 3D motion of a manoeuvring target. Correctness of the developed mathematical model was confirmed by digital simulation conducted for a Maverick missile equipped with a gyroscope being an executive element of the system scanning the earth's surface and following the detected target. Both the dynamics of the gyroscope and the missile during the process of scanning and following the detected target were the subject to digital analysis. The results were presented in graphic form.
Authors and Affiliations
Edyta ŁADYŻYŃSKA-KOZDRAŚ, Zbigniew KORUBA
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