Anti-collision optimal control method based on double-super satellite platform bumping dynamics model

Abstract

The invention relates to an anti-collision optimal control method based on a double-super satellite platform bumping dynamics model. The anti-collision optimal control method comprises the following steps: step 1, establishing a double-super satellite platform bumping dynamics model based on the momentum conservation theorem; the double-super satellite platform comprising a load cabin, a platformcabin, a permanent magnet end, a coil end and a gap; and step 2, introducing a Lagrangian functional concept on the basis of the established bumping dynamics model, and solving a calculation formula and an optimal control rule of the optimal gap according to the constraint of an extreme value condition. According to the method, the problem of vibration collision of a double-super-platform non-contact structure is solved, an optimal control law design method and a magnetic suspension mechanism gap optimal calculation method can be effectively provided, and the design of double-super-satellite and other non-contact structures with gaps can be guided.

Description

technical field [0001] The invention relates to the technical field of aerospace satellites, in particular to an optimal anti-collision control method based on a dynamic model of impact vibration of a double-super satellite platform. Background technique [0002] For the ultra-high-precision and ultra-high-stability dual-ultrasatellite satellite platform, since its key component, the magnetic levitation mechanism, is designed on the principle of electromagnetic force, its structure is non-contact, and there is a gap between the coil end and the magnet end of the magnetic levitation mechanism, so that it is not affected by interference. Under the action, it is easy to cause collision and affect the performance of the satellite in orbit. Therefore, it is necessary to study the dynamic characteristics of collision, design the optimal control law, and optimize the structural gap to prevent collision. Contents of the invention [0003] Aiming at the gap in the prior art, in ord...

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Problems solved by technology

[0003] Aiming at the gap in the prior art, in order to solve the anti-collision problem of the double-super satellite platform, the present invention proposes an optimal anti-collision control method based on the impact dynamic model of the double-super satellite platform, and the impulse and moment of momentum in the collision are given , coefficient of restitution, velocity before and after collision, angular velocity, etc. analysis and calculation methods, and then give the optimal control law and the optimal design method of the gap, solve the optimal control problem of the double supersatellite platform, and be able to judge the dynamic characteristics of the collision , to guide the design of dual super satellites

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